Updated on 2026/03/05

写真a

 
MATSUI TOMOMI
 
Organization
School of Engineering Professor
Title
Professor
External link

Degree

  • 博士(理学) ( 東京工業大学 )

Research Interests

  • アルゴリズム

  • ゲーム理論

  • オペレーションズ・リサーチ

  • 最適化

Research Areas

  • Social Infrastructure (Civil Engineering, Architecture, Disaster Prevention) / Safety engineering

  • Social Infrastructure (Civil Engineering, Architecture, Disaster Prevention) / Social systems engineering

Education

  • Tokyo Institute of Technology   Interdisciplinary Science and Engineering

    1987.4 - 1990.3

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    Country: Japan

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  • Tokyo Institute of Technology   Graduate School, Division of Integrated Science and Engineering

    - 1990

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  • 東京工業大学大学院   理工学研究科   経営工学専攻 修士課程

    1985.4 - 1987.3

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    Country: Japan

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  • Tokyo Institute of Technology   Graduate School, Division of Science and Engineering

    - 1987

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  • Tokyo Institute of Technology   School of Engineering

    1980.4 - 1985.3

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Research History

  • Tokyo Institute of Technology   School of Engineering   Professor

    2016.4

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  • Tokyo Institute of Technology   Graduate School of Decision Science and Technology, Department of Social Engineering   Professor

    2013.4 - 2016.3

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  • Chuo University Faculty of Science and Engineering   Professor

    2006.4 - 2013.3

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  • The University of Tokyo   The Graduate School of Information Science and Technology, Department of Mathematical Informatics

    1996.4 - 2006.3

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  • The University of Tokyo   The Faculty of Engineering, Department of Mathematical Engineering and Information Physics   Lecturer

    1992.4 - 1996.3

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  • Tokyo University of Science   Industrial Administration, Faculty of Science and Technology

    1990.4 - 1992.3

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Professional Memberships

Committee Memberships

  • 日本オペレーションズ・リサーチ学会   副会長  

    2019 - 2021   

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    Committee type:Academic society

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  • 日本OR学会   機関紙編集委員長  

    2011.4 - 2013.3   

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    Committee type:Academic society

    日本OR学会

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  • 情報処理学会   アルゴリズム研究部会(SIGAL) 幹事  

    1998.4 - 2000.3   

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    Committee type:Academic society

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Papers

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Books

  • だれでも証明が書ける

    日本評論社  2010.2 

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  • 確率的情報処理と統計力学,Ⅲ章4節 「CFTPを用いたパーフェクトサンプリング」

    サイエンス社  2006.9 

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  • オペレーションズ・リサーチ,第4章「効率性の評価分析モデル 」,第5章「ゲーム的状況の表現 」,第6章「線形計画モデル」,第7章「非線形計画法 」,第8章「整数計画モデル 」,第9章「動的計画モデル 」

    朝倉出版  2004.6 

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  • 数理工学への誘い,7章「携帯電話はどうしてつながるのか --携帯電話ネットワークの頂点彩色問題--」

    日本評論社  2002.9 

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  • 応用数理計画ハンドブック,第6章「整数計画法」

    朝倉書店  2002.4 

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  • アルゴリズム工学,2.5節「数理計画 」, 6.10節「スポーツのスケジューリング」, 6.15節「真円度問題とその解法 」.

    共立出版  2001.6 

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  • 組合せ最適化[短編集]

    朝倉書店  1999.1 

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  • 離散構造とアルゴリズムIV,第4章「0-1多面体における端点の隣接性」

    近代科学社  1995.10 

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MISC

  • Solving break minimization problems in mirrored double round-robin tournament with QUBO solver

    Koichi Fujii, Tomomi Matsui

    2023.7

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    The break minimization problem is a fundamental problem in sports scheduling.
    Recently, its quadratic unconstrained binary optimization (QUBO) formulation
    has been proposed, which has gained much interest with the rapidly growing
    field of quantum computing. In this paper, we demonstrate that the
    state-of-the-art QUBO solver outperforms the general mixed integer quadratic
    programming (MIQP) solver on break minimization problems in a mirrored double
    round-robin tournament. Moreover, we demonstrate that it still outperforms or
    is competitive even if we add practical constraints, such as consecutive
    constraints, to the break minimization problem.

    arXiv

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    Other Link: http://arxiv.org/pdf/2307.00263v1

  • Monte Carlo Methods for the Shapley–Shubik Power Index Reviewed

    Yuto Ushioda, Masato Tanaka, Tomomi Matsui

    Games   13 ( 3 )   44 - 44   2022.6

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    Publisher:MDPI AG  

    This paper deals with the problem of calculating the Shapley–Shubik power index in weighted majority games. We propose an efficient Monte Carlo algorithm based on an implicit hierarchical structure of permutations of players. Our algorithm outputs a vector of power indices preserving the monotonicity, with respect to the voting weights. We show that our algorithm reduces the required number of samples, compared with the naive algorithm.

    DOI: 10.3390/g13030044

    arXiv

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  • Dynamic Programming and Linear Programming for Odds Problem

    Sachika Kurokawa, Tomomi Matsui

    2021.7

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    This paper discusses the odds problem, proposed by Bruss in 2000, and its
    variants. A recurrence relation called a dynamic programming (DP) equation is
    used to find an optimal stopping policy of the odds problem and its variants.
    In 2013, Buchbinder, Jain, and Singh proposed a linear programming (LP)
    formulation for finding an optimal stopping policy of the classical secretary
    problem, which is a special case of the odds problem. The proposed linear
    programming problem, which maximizes the probability of a win, differs from the
    DP equations known for long time periods. This paper shows that an ordinary DP
    equation is a modification of the dual problem of linear programming including
    the LP formulation proposed by Buchbinder, Jain, and Singh.

    arXiv

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    Other Link: http://arxiv.org/pdf/2107.13146v1

  • Trading transforms of non-weighted simple games and integer weights of weighted simple games Reviewed

    Akihiro Kawana, Tomomi Matsui

    Theory and Decision   93 ( 1 )   131 - 150   2021.7

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    Authorship:Last author   Language:English   Publisher:Springer Science and Business Media LLC  

    This study investigates simple games. A fundamental research question in this
    field is to determine necessary and sufficient conditions for a simple game to
    be a weighted majority game. Taylor and Zwicker (1992) showed that a simple
    game is non-weighted if and only if there exists a trading transform of finite
    size. They also provided an upper bound on the size of such a trading
    transform, if it exists. Gvozdeva and Slinko (2011) improved that upper bound;
    their proof employed a property of linear inequalities demonstrated by Muroga
    (1971).In this study, we provide a new proof of the existence of a trading
    transform when a given simple game is non-weighted. Our proof employs Farkas'
    lemma (1894), and yields an improved upper bound on the size of a trading
    transform.
    We also discuss an integer-weight representation of a weighted simple game,
    improving the bounds obtained by Muroga (1971). We show that our bound on the
    quota is tight when the number of players is less than or equal to five, based
    on the computational results obtained by Kurz (2012).
    Furthermore, we discuss the problem of finding an integer-weight
    representation under the assumption that we have minimal winning coalitions and
    maximal losing coalitions.In particular, we show a performance of a rounding
    method.
    Lastly, we address roughly weighted simple games. Gvozdeva and Slinko (2011)
    showed that a given simple game is not roughly weighted if and only if there
    exists a potent certificate of non-weightedness. We give an upper bound on the
    length of a potent certificate of non-weightedness. We also discuss an
    integer-weight representation of a roughly weighted simple game.

    DOI: 10.1007/s11238-021-09831-2

    arXiv

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    Other Link: https://link.springer.com/article/10.1007/s11238-021-09831-2/fulltext.html

  • New Formulation for Coloring Circle Graphs and its Application to Capacitated Stowage Stack Minimization

    Masato Tanaka, Tomomi Matsui

    2021.2

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    A circle graph is a graph in which the adjacency of vertices can be
    represented as the intersection of chords of a circle. The problem of
    calculating the chromatic number is known to be NP-complete, even on circle
    graphs. In this paper, we propose a new integer linear programming formulation
    for a coloring problem on circle graphs. We also show that the linear
    relaxation problem of our formulation finds the fractional chromatic number of
    a given circle graph. As a byproduct, our formulation gives a polynomial-sized
    linear programming formulation for calculating the fractional chromatic number
    of a circle graph. We also extend our result to a formulation for a capacitated
    stowage stack minimization problem.

    arXiv

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    Other Link: http://arxiv.org/pdf/2102.00691v1

  • Pseudo Polynomial Size LP Formulation for Calculating the Least Core Value of Weighted Voting Games

    Masato Tanaka, Tomomi Matsui

    Mathematical Social Sciences   115   47 - 51   2021.1

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    In this paper, we propose a pseudo polynomial size LP formulation for finding
    a payoff vector in the least core of a weighted voting game. The numbers of
    variables and constraints in our formulation are both bounded by $\mbox{O}(n
    W_+)$, where $n$ is the number of players and $W_+$ is the total sum of
    (integer) voting weights. When we employ our formulation, a commercial LP
    solver calculates a payoff vector in the least core of practical weighted
    voting games in a few seconds. We also extend our approach to vector weighted
    voting games.

    DOI: 10.1016/j.mathsocsci.2021.12.002

    arXiv

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    Other Link: http://arxiv.org/pdf/2101.11180v2

  • Mixed integer quadratic optimization formulations for eliminating multicollinearity based on variance inflation factor

    Ryuta Tamura, Ken Kobayashi, Yuichi Takano, Ryuhei Miyashiro, Kazuhide Nakata, Tomomi Matsui

    Journal of Global Optimization   73 ( 2 )   431 - 446   2019.2

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    Publisher:Springer Science and Business Media LLC  

    DOI: 10.1007/s10898-018-0713-3

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  • 処理速度可変な並列機械でのスケジューリングにおける終了時間とエネルギー量の和の最小化

    藤森友誠, 河瀬康志, 松井知己, 塩浦昭義

    電子情報通信学会技術研究報告   119 ( 314(MSS2019 23-40) )   2019

  • 処理速度可変な並列機械での総終了時間とエネルギー量の和の最小化スケジューリング問題に対する高速解法

    藤森友誠, 河瀬康志, 松井知己, 塩浦昭義

    日本オペレーションズ・リサーチ学会春季研究発表会アブストラクト集   2019   2019

  • Characterizing delaunay graphs via fixed point theorem: a simple proof

    Tomomi Matsui, Yuichiro Miyamoto

    Journal of the Operations Research Society of Japan   61 ( 1 )   151 - 162   2018.1

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    Language:English   Publisher:Operations Research Society of Japan  

    DOI: 10.15807/jorsj.61.151

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  • A doubly nonnegative relaxation for modularity density maximization

    Yoichi Izunaga, Tomomi Matsui, Yoshitsugu Yamamoto

    Discrete Applied Mathematics   275   69 - 78   2018.1

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    Publisher:Elsevier BV  

    DOI: 10.1016/j.dam.2018.09.023

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  • Best subset selection for eliminating multicollinearity

    Ryuta Tamura, Ken Kobayashi, Yuichi Takano, Ryuhei Miyashiro, Kazuhide Nakata, Tomomi Matsui

    Journal of the Operations Research Society of Japan   60 ( 3 )   321 - 336   2017.7

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    Language:English   Publisher:Operations Research Society of Japan  

    DOI: 10.15807/jorsj.60.321

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  • COMPARE THE RATIO OF SYMMETRIC POLYNOMIALS OF ODDS TO ONE AND STOP

    Tomomi Matsui, Katsunori Ano

    JOURNAL OF APPLIED PROBABILITY   54 ( 1 )   12 - 22   2017.3

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  • Approximation Algorithm for Cycle-Star Hub Network Design Problems and Cycle-Metric Labeling Problems

    Yuko Kuroki, Tomomi Matsui

    WALCOM: ALGORITHMS AND COMPUTATION, WALCOM 2017   10167   397 - 408   2017

  • モジュラリティ最大化に対する加法的近似解法

    河瀬康志, 松井知己, 宮内敦史

    電子情報通信学会大会講演論文集(CD-ROM)   2017   2017

  • Additive approximation algorithms for modularity maximization

    Yasushi Kawase, Tomomi Matsui, Atsushi Miyauchi

    Leibniz International Proceedings in Informatics, LIPIcs   64   43.1 - 43.13   2016.12

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    Language:English   Publisher:Schloss Dagstuhl- Leibniz-Zentrum fur Informatik GmbH, Dagstuhl Publishing  

    DOI: 10.4230/LIPIcs.ISAAC.2016.43

    Scopus

    arXiv

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  • Lower Bounds for Bruss' Odds Problem with Multiple Stoppings

    Tomomi Matsui, Katsunori Ano

    MATHEMATICS OF OPERATIONS RESEARCH   41 ( 2 )   700 - 714   2016.5

  • Yield-aware mask assignment by positive semidefinite relaxation in triple patterning using cut process

    Yukihide Kohira, Chikaaki Kodama, Tomomi Matsui, Atsushi Takahashi, Shigeki Nojima, Satoshi Tanaka

    JOURNAL OF MICRO-NANOLITHOGRAPHY MEMS AND MOEMS   15 ( 2 )   2016.4

  • A-6-12 A correction term for positive semidefinite relaxation of MPL layout decomposition

    Handa Shohei, Takahashi Atsushi, Nakata Kazuhide, Matsui Tomomi

    Proceedings of the IEICE Engineering Sciences Society/NOLTA Society Conference   2016   86 - 86   2016.3

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    Language:Japanese   Publisher:The Institute of Electronics, Information and Communication Engineers  

    CiNii Books

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  • A linear time algorithm for the unbalanced Hitchcock transportation problem

    Tomomi Matsui, Rudolf Scheifele

    NETWORKS   67 ( 2 )   170 - 182   2016.3

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  • Manufacturability-aware Mask Assignment in Multiple Patterning Lithography

    Yukihide Kohira, Atsushi Takahashi, Tomomi Matsui, Chikaaki Kodama, Shigeki Nojima, Satoshi Tanaka

    2016 IEEE ASIA PACIFIC CONFERENCE ON CIRCUITS AND SYSTEMS (APCCAS)   538 - 541   2016

  • 船舶の航行速度最適化問題の解法

    昆野修平, 河瀬康志, 松井知己

    日本オペレーションズ・リサーチ学会秋季研究発表会アブストラクト集   2016   2016

  • モジュラリティ最大化に対する加法的近似解法

    河瀬康志, 松井知己, 宮内敦史

    日本オペレーションズ・リサーチ学会秋季研究発表会アブストラクト集   2016   2016

  • Newtonの不等式を用いたオッズ問題の解析 (特集 最適停止とその応用)

    松井 知己, 穴太 克則

    オペレーションズ・リサーチ   60 ( 3 )   132 - 137   2015.3

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    Language:Japanese   Publisher:公益社団法人日本オペレーションズ・リサーチ学会  

    本稿では,オッズ問題とその変種に対し,その最適戦略と勝利確率の下界について議論する.特に,いくつかの変種を特殊ケースとして含む一般的な問題が,Newtonの不等式を用いることによって統一的に議論できることを示す.

    CiNii Books

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  • 0.863-approximation algorithm for MAX DICUT

    Shiro Matuura, Tomomi Matsui

    Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)   2129   138 - 146   2015.1

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  • Fast Mask Assignment using Positive Semidefinite Relaxation in LELECUT Triple Patterning Lithography

    Yukihide Kohira, Tomomi Matsui, Yoko Yokoyama, Chikaaki Kodama, Atsushi Takahashi, Shigeki Nojima, Satoshi Tanaka

    2015 20TH ASIA AND SOUTH PACIFIC DESIGN AUTOMATION CONFERENCE (ASP-DAC)   665 - 670   2015

  • Fractional programming formulation for the vertex coloring problem

    Tomomi Matsui, Noriyoshi Sukegawa, Atsushi Miyauchi

    INFORMATION PROCESSING LETTERS   114 ( 12 )   706 - 709   2014.12

  • A 2.75-approximation algorithm for the unconstrained traveling tournament problem

    Shinji Imahori, Tomomi Matsui, Ryuhei Miyashiro

    ANNALS OF OPERATIONS RESEARCH   218 ( 1 )   237 - 247   2014.7

  • LELECUT Triple Patterning Lithography Layout Decomposition using Positive Semidefinite Relaxation

    KOHIRA Yukihide, MATSUI Tomomi, YOKOYAMA Yoko, KODAMA Chikaaki, TAKAHASHI Atsushi, NOJIMA Shigeki, TANAKA Satoshi

    Technical report of IEICE. VLD   114 ( 59 )   27 - 32   2014.5

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    Language:Japanese   Publisher:The Institute of Electronics, Information and Communication Engineers  

    One of the most promising techniques in the 14 nm logic node and beyond is triple patterning lithography (TPL). Recently, LELECUT type TPL technology, where the third mask is used to cut the patterns, is discussed to alleviate native conflict and overlay problems in LELELE type TPL. In this paper, we formulate LELECUT decomposition problem which maximizes the compliance to the lithography and apply positive semidefinite relaxations. In our proposed methods, LELECUT decomposition is obtained from an optimum solution of the positive semidefinite relaxations by randomized rounding technique.

    CiNii Books

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  • Multiple Patterning Lithography by Positive Semidefinite Relaxation

    Matsui Tomomi

    Technical report of IEICE. VLD   114 ( 59 )   19 - 19   2014.5

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    CiNii Books

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  • LELECUT Triple Patterning Lithography Layout Decomposition using Positive Semidefinite Relaxation

    Yukihide Kohira, Tomomi Matsui, Yoko Yokoyama, Chikaaki Kodama, Atsushi Takahashi, Shigeki Nojima, Satoshi Tanaka

    2014 ( 6 )   1 - 6   2014.5

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    Language:Japanese   Publisher:Information Processing Society of Japan (IPSJ)  

    One of the most promising techniques in the 14 nm logic node and beyond is triple patterning lithography (TPL). Recently, LELECUT type TPL technology, where the third mask is used to cut the patterns, is discussed to alleviate native conflict and overlay problems in LELELE type TPL. In this paper, we formulate LELECUT decomposition problem which maximizes the compliance to the lithography and apply positive semidefinite relaxations. In our proposed methods, LELECUT decomposition is obtained from an optimum solution of the positive semidefinite relaxations by randomized rounding technique.

    CiNii Books

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  • Multiple Patterning Lithography by Positive Semidefinite Relaxation

    Tomomi Matsui

    2014 ( 4 )   1 - 1   2014.5

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    Language:Japanese   Publisher:Information Processing Society of Japan (IPSJ)  

    CiNii Books

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  • 1-G-9 分数計画による頂点彩色問題の定式化(離散最適化(2))

    松井 知己, [スケ]川 矩義, 宮内 敦史

    日本オペレーションズ・リサーチ学会春季研究発表会アブストラクト集   2014   130 - 131   2014.3

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    Language:Japanese   Publisher:公益社団法人日本オペレーションズ・リサーチ学会  

    CiNii Books

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  • Local Pattern Modification Method for Lithographical ECO in Double Patterning

    MIYABE Yutaro, TAKAHASHI Atsushi, MATSUI Tomomi, KOHIRA Yukihide, YOKOYAMA Yoko

    Technical report of IEICE. VLD   113 ( 454 )   87 - 92   2014.3

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    Language:Japanese   Publisher:The Institute of Electronics, Information and Communication Engineers  

    In advanced semiconductor manufacturing processes, even though a pattern is generated following a design rule, hotspots are often detected by a lithography simulation, and pattern modification is required. In order to complete the design in a short time, it is desired to remove hotspots by local pattern modification to avoid time-consuming lithography simulation as much as possible. In this paper, we propose a method to reduce the area where lithography simulation is required when hotspots are tried to be removed by changing the mask assignment of pattern in the double patterning. Our proposed method inserts stitches effectively. In our proposed method, the problem finding an appropriate modification is formulated as a cost minimization problem on a graph where a vertex has a cost which is proportional to its area and where an edge has a cost which is related to conflict and stitch. Then, the problem is converted to a maximum cut problem and is solved by using semi-definite programming.

    CiNii Books

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  • A note on a lower bound for the multiplicative odds theorem of optimal stopping

    Tomomi Matsui, Katsunori Ano

    Journal of Applied Probability   51 ( 3 )   885 - 889   2014.1

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    Publisher:Applied Probability Trust  

    DOI: 10.1239/jap/1409932681

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  • 安定マッチング問題の応用 : 嘘をつく人々 (特集 グラフ理論の新展開)

    松井 知己

    数学セミナー   53 ( 1 )   39 - 43   2014.1

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    Language:Japanese   Publisher:日本評論社  

    CiNii Books

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  • Positive Semidefinite Relaxation and Approximation Algorithm for Triple Patterning Lithography

    Tomomi Matsui, Yukihide Kohira, Chikaaki Kodama, Atsushi Takahashi

    ALGORITHMS AND COMPUTATION, ISAAC 2014   8889   365 - 375   2014

  • NP-completeness of arithmetical restorations

    Tomomi Matsui

    Journal of Information Processing   21 ( 3 )   402 - 404   2013

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    Language:English   Publisher:Information Processing Society of Japan  

    DOI: 10.2197/ipsjjip.21.402

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  • Characterizing delaunay graphs via fixed point theorem

    Tomomi Matsui, Yuichiro Miyamoto

    Proceedings of the 24th Canadian Conference on Computational Geometry, CCCG 2012   241 - 246   2012.12

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  • 2-C-3 不動点定理によるドロネー性の確認(離散最適化(2))

    松井 知己, 宮本 裕一郎

    日本オペレーションズ・リサーチ学会秋季研究発表会アブストラクト集   2012   182 - 183   2012.9

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    Language:Japanese   Publisher:公益社団法人日本オペレーションズ・リサーチ学会  

    CiNii Books

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  • ON THE NUMBER OF SOLUTIONS GENERATED BY DANTZIG'S SIMPLEX METHOD FOR LP WITH BOUNDED VARIABLES

    Tomonari Kitahara, Tomomi Matsui, Shinji Mizuno

    PACIFIC JOURNAL OF OPTIMIZATION   8 ( 3 )   447 - 455   2012.7

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  • An approximation algorithm for the traveling tournament problem

    Ryuhei Miyashiro, Tomomi Matsui, Shinji Imahori

    ANNALS OF OPERATIONS RESEARCH   194 ( 1 )   317 - 324   2012.4

  • Approximation algorithms for data association problem arising from multitarget tracking

    Naoyuki Kamiyama, Tomomi Matsui

    Conferences in Research and Practice in Information Technology Series   119   137 - 143   2011.12

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  • An Improved Approximation Algorithm for the Traveling Tournament Problem

    Daisuke Yamaguchi, Shinji Imahori, Ryuhei Miyashiro, Tomomi Matsui

    ALGORITHMICA   61 ( 4 )   1077 - 1091   2011.12

  • Algorithmic Aspects of Equilibria of Stable Marriage Model with Complete Preference Lists

    Tomomi Matsui

    Operations Research Proceedings 2010, Selected Papers of the Annual International Conference of the German Operations Research Society   47--52   2011.7

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  • Algorithmic Aspects of Equilibria of Stable Marriage Model with Complete Preference Lists

    Tomomi Matsui

    Operations Research Proceedings 2010, Selected Papers of the Annual International Conference of the German Operations Research Society   47--52   2011.7

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  • 数理ゲームの必勝法とイカサマの技(パズルとゲームの計算理論)

    松井 知己

    シンポジウム   ( 65 )   1 - 6   2011.3

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    Language:Japanese   Publisher:公益社団法人日本オペレーションズ・リサーチ学会  

    CiNii Books

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  • Improved Approximation Algorithms for Firefighter Problem on Trees

    Yutaka Iwaikawa, Naoyuki Kamiyama, Tomomi Matsui

    IEICE TRANSACTIONS ON INFORMATION AND SYSTEMS   E94D ( 2 )   196 - 199   2011.2

  • Improved Approximation Algorithms for Firefighter Problem on Trees

    Yutaka IWAIKAWA, Naoyuki KAMIYAMA, Tomomi MATSUI

    IEICE TRANSACTIONS on Information and Systems   Vol. 94 ( No. 2 )   196 - 199   2011.2

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    Language:English  

    The firefighter problem is used to model the spread of fire, infectious diseases, and computer viruses. This paper deals with firefighter problem on rooted trees. It is known that the firefighter problem is NP-hard even for rooted trees of maximum degree 3. We propose techniques to improve a given approximation algorithm. First, we introduce an implicit enumeration technique. By applying the technique to existing (1-1/e)-approximation algorithm, we obtain $(1- {k-1 \\over (k-1)e + 1})$-approximation algorithm when a root has k children. In case of ternary trees, k=3 and thus the approximation ratio satisfies $(1- {k-1 \\over (k-1)e + 1})$ ≥ 0.6892, which improves the existing result 1-1/e ≥ 0.6321. Second technique is based on backward induction and improves an approximation algorithm for firefighter problem on ternary trees. If we apply the technique to existing (1-1/e)-approximation algorithm, we obtain 0.6976-approximation algorithm. Lastly, we combine the above two techniques and obtain 0.7144-approximation algorithm for firefighter problem on ternary trees.

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  • Improved Approximation Algorithms for Firefighter Problem on Trees

    Yutaka Iwaikawa, Naoyuki Kamiyama, Tomomi Matsui

    IEICE TRANSACTIONS ON INFORMATION AND SYSTEMS   E94D ( 2 )   196 - 199   2011.2

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  • Approximation Algorithms for Data Association Problem Arising from Multitarget Tracking

    Naoyuki Kamiyama, Tomomi Matsui

    17th Computing: The Australasian Theory Symposium (CATS 2011) and in the Australian Computer Society series Conferences in Research and the Practice in Information Technology (CRPIT)   119   137 - 144   2011.1

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  • Approximation Algorithms for Data Association Problem Arising from Multitarget Tracking

    Naoyuki Kamiyama, Tomomi Matsui

    17th Computing: The Australasian Theory Symposium (CATS 2011) and in the Australian Computer Society series Conferences in Research and the Practice in Information Technology (CRPIT)   137 - 144   2011.1

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  • Algorithm for Single Allocation Problem on Hub-and-Spoke Networks in 2-Dimensional Plane

    Ryuta Ando, Tomomi Matsui

    ALGORITHMS AND COMPUTATION   7074   474 - 483   2011

  • 3C2 INVERSE ASSIGNMENT PROBLEM FOR TIMETABLING IN TUTORING SCHOOL(Technical session 3C: OS2: Timetabling and assignment problems(2)) :

    Hidaka Takuro, Matsui Tomomi

    Proceedings of International Symposium on Scheduling   2011   145 - 148   2011

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    We consider a problem for constructing timetable of a tutoring school. For each time slot, we have a set of students and a set of teachers. We need to assign each student to a teacher subject to an upper bound of the number of students assigned to a teacher. The problem finds an assignment which maximizes the sum of fitness of selected student-teacher pairs. When we use the assignment model, we need to determine a value of fitness for each student-teacher pair. We propose an inverse optimization problem for finding fitness values which accommodate to real schedule data used in a tutoring school. We show that our inverse optimization problem becomes a linear programming problem.

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  • An approximation algorithm for the unconstrained traveling tournament problem

    Shinji Imahori, Tomomi Matsui, Ryuhei Miyashiro

    PATAT 2010 - Proceedings of the 8th International Conference on the Practice and Theory of Automated Timetabling   508 - 512   2010.12

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  • Cheating Strategies for the Gale-Shapley Algorithm with Complete Preference Lists

    Hirotatsu Kobayashi, Tomomi Matsui

    ALGORITHMICA   58 ( 1 )   151 - 169   2010.9

  • An Approximation Algorithm for the Unconstrained Traveling Tournament Problem

    Shinji Imahori, Tomomi Matsui, Ryuhei Miyashiro

    Proceedings of the 20th International Symposium on Algorithms and Computation (ISAAC 2009), LNCS 5878   508 - 512   2010.8

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  • 統計的機械翻訳におけるフレーズ対応最適化を利用したN-best翻訳候補のリランキング

    越川満, 内山将夫, 梅谷俊治, 松井知己, 山本幹雄

    情報処理学会論文誌   51 ( 8 )   1443 - 1451   2010.8

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    フレーズベース統計的機械翻訳では,連続する単語列(フレーズ)を翻訳の最小単位とした確率的規則に基づいて翻訳候補の順位付けを行い,最も確率の高い候補を出力とする.しかし,入力文のフレーズ区切りや翻訳前後の訳語関係(フレーズ対応)の組合せ数は膨大である.そのため,従来の統計的機械翻訳システムは,翻訳候補およびフレーズ区切り・対応に対して大胆な近似を行うことで探索空間を狭めており,厳密な確率の最大化をしていない.本稿では,フレーズ対応・区切りに関する厳密な確率最大化を行う問題を,フレーズベース翻訳において広く用いられているすべての素性を考慮可能な形式で整数線形計画問題として定式化し,それを翻訳候補のリランキングに応用する手法を提案・実装する.評価実験の結果,提案手法は有意に翻訳精度を改善することが示されると同時に,フレーズベース翻訳における探索の課題は,フレーズ対応ではなく翻訳候補文についてより多くの候補を評価することにあるという示唆が得られた.

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  • An Approximation Algorithm for the Unconstrained Traveling Tournament Problem

    Shinji Imahori, Tomomi Matsui, Ryuhei Miyashiro

    Proceedings of the 20th International Symposium on Algorithms and Computation (ISAAC 2009), LNCS 5878   508 - 512   2010.8

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  • スポーツスケジューリング

    宮代 隆平, 松井 知己, 今堀 慎治

    数学セミナー   49 ( 7 )   60 - 64   2010.7

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  • Polynomial time approximate or perfect samplers for discretized Dirichlet distribution

    Tomomi Matsui, Mitsuo Motoki, Naoyuki Kamatani, Shuji Kijima

    JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS   27 ( 1 )   91 - 123   2010.6

  • 古典的オーヴァーハングパズルをLP で解く

    松井知己

    オペレーションズ・リサーチ   55 ( 1 )   45--47 - 47   2010.1

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  • Cheating Strategies for the Gale-Shapley Algorithm with Complete Preference Lists

    KOBAYASHI HIROTATSU, MATSUI TOMOMI

    2009 ( 6 )   1 - 8   2009.7

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  • A note on generalized rank aggregation

    Hadas Shachnai, Lisa Zhang, Tomomi Matsui

    INFORMATION PROCESSING LETTERS   109 ( 13 )   647 - 651   2009.6

  • 新入生のための数学ブートキャンプ 後編

    松井知己

    数学セミナー   48 ( 5 )   42 - 47   2009.5

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  • Perfectness and imperfectness of unit disk graphs on triangular lattice points

    Y. Miyamoto, T. Matsui

    DISCRETE MATHEMATICS   309 ( 9 )   2733 - 2744   2009.5

  • Approximation algorithms for the single allocation problem in hub-and-spoke networks and related metric labeling problems

    Masaru Iwasa, Hiroo Saito, Tomomi Matsui

    DISCRETE APPLIED MATHEMATICS   157 ( 9 )   2078 - 2088   2009.5

  • An approximation algorithm for multidimensional assignment problems minimizing the sum of squared errors

    Yusuke Kuroki, Tomomi Matsui

    DISCRETE APPLIED MATHEMATICS   157 ( 9 )   2124 - 2135   2009.5

  • 新入生のための数学ブートキャンプ 前編

    松井知己

    数学セミナー   48 ( 4 )   50 - 55   2009.4

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  • Successful Manipulation in Stable Marriage Model with Complete Preference Lists

    Hirotatsu Kobayashi, Tomomi Matsui

    IEICE TRANSACTIONS ON INFORMATION AND SYSTEMS   E92D ( 2 )   116 - 119   2009.2

  • A study of the quadratic semi-assignment polytope

    Hiroo Saito, Tetsuya Fujie, Tomomi Matsui, Shiro Matuura

    DISCRETE OPTIMIZATION   6 ( 1 )   37 - 50   2009.2

  • An Improved Approximation Algorithm for the Traveling Tournament Problem

    Daisuke Yamaguchi, Shinji Imahori, Ryuhei Miyashiro, Tomomi Matsui

    ALGORITHMS AND COMPUTATION, PROCEEDINGS   5878   679 - +   2009

  • 解けないパズルをLP で解く ―ペグソリティアとパゴダ関数と線形計画-

    松井知己

    オペレーションズ・リサーチ   53 ( 11 )   643 - 648   2008.11

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  • Randomized approximation scheme and perfect sampler for closed Jackson networks with multiple servers

    Shuji Kijima, Tomomi Matsui

    ANNALS OF OPERATIONS RESEARCH   162 ( 1 )   35 - 55   2008.9

  • Exact algorithms for the master ring problem

    Hadas Shachnai, Lisa Zhang, Tomomi Matsui

    NETWORKS   52 ( 2 )   98 - 107   2008.9

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  • フルートの運指最適化と逆最適化を用いたパラメータチューニング

    澤井賢一, 黒木裕介, 松井知己

    オペレーションズ・リサーチ   53 ( 1 )   39 - 46   2008.1

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  • Polynomial time perfect sampler for discretized Dirichlet distribution

    Tomomi Matsui, Shuji Kijima

    GRAMMAR OF TECHNOLOGY DEVELOPMENT   179 - 199   2008

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  • APPROXIMATION ALGORITHM AND PERFECT SAMPLER FOR CLOSED JACKSON NETWORKS WITH SINGLE SERVERS

    S. Kijima, T. Matsui

    SIAM JOURNAL ON COMPUTING   38 ( 4 )   1484 - 1503   2008

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  • Constructive Algorithms for the Constant Distance Traveling Tournament Problem

    Nobutomo Fujiwara, Shinji Imahori, Tomomi Matsui, Ryuhei Miyashiro

    Lecture Notes in Computer Science   135 - 146   2007.12

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  • Dependent Rounding Technique (従属丸め技法) : 最小カット問題の整数性

    松井 知己

    オペレーションズ・リサーチ : 経営の科学 = [O]perations research as a management science [r]esearch   52 ( 9 )   519 - 521   2007.9

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  • クラス編成問題 素敵な出会いを演出します

    松井知己

    数学セミナー   550 ( 7 )   39 - 43   2007.7

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  • マルコフ連鎖の完璧シミュレーション

    松井知己, 来嶋秀治

    シミュレーション   26 ( 2 )   101 - 106   2007.6

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  • The home-away assignment problems and break minimization/maximization problems in sports scheduling

    Ayami Suzuka, Ryuhei Miyashiro, Akiko Yoshise, Tomomi Matsui

    Pacific Journal of Optimization   113 - 133   2007.1

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  • The home-away assignment problems and break minimization/maximization problems in sports scheduling

    Ayami Suzuka, Ryuhei Miyashiro, Akiko Yoshise, Tomomi Matsui

    Pacific Journal of Optimization   3 ( 1 )   113 - 133   2007.1

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  • Constructive algorithms for the constant distance traveling tournament problem

    Nobutomo Fujiwara, Shinji Imahori, Tomomi Matsui, Ryuhei Miyashiro

    PRACTICE AND THEORY OF AUTOMATED TIMETABLING VI   3867   135 - +   2007

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  • Modeling and Optimization of Flute Fingerings

    SAWAI Ken'ichi, KUROKI Yusuke, MATSUI Tomomi, AIHARA Kazuyuki

    IPSJ SIG Notes   2006 ( 133 )   13 - 18   2006.12

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    This paper describes an optimization method of flute fingerings and parameter tuning. Our optimization method uses a shortest path problem of a directed graph generated by an objective passage. The vertices are the probable fingerings of the tones of the passage, and the arcs are the pairs of fingerings of the consecutive tones. The distance is defined as suitably designed difficulty in using the fingerings. Besides, this method has some parameters in calculation of distance and outputs different fingerings with the same passage by changing the parameter values. Furthermore, we propose a method of tuning the parameter values based on inverse optimization so as to, for example, get the accustomed fingerings of a certain passage as output.

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    Other Link: http://id.nii.ac.jp/1001/00055822/

  • Constructive algorithms for the constant distance traveling tournament problem

    Nobutomo Fujiwara, Shinji Imahori, Tomomi Matsui, Ryuhei Miyashiro

    Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)   3867 LNCS   135 - 146   2006.12

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  • Approximation Algorithms for the Single Allocation Problem in Hub-and-Spoke Networks

    Masaru Iwasa, Hiroo Saito, Tomomi Matsui

    Electronic Notes in Discrete Mathematics   27   51 - 52   2006.10

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  • Randomized Approximation Algorithm for a Geometrical Multidimensional Assignment Problem

    Yusuke Kuroki, Tomomi Matsui

    Electronic Notes in Discrete Mathematics   27   63 - 64   2006.10

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  • 1-C-9 フルートの運指のモデル化とその最適化に関する研究(離散最適化(2))

    澤井 賢一, 黒木 裕介, 松井 知己

    日本オペレーションズ・リサーチ学会秋季研究発表会アブストラクト集   2006   68 - 69   2006.9

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  • ここまで解ける整数計画

    宮代 隆平, 松井 知己

    システム/情報/制御   50 ( 9 )   363 - 368   2006.9

  • Algorithms for computing geometric measures of melodic similarity

    Greg Aloupis, Thomas Fevens, Stefan Langerman, Tomomi Matsui, Antonio Mesa, Yurai Nuñez, David Rappaport, Godfried Toussaint

    Computer Music Journal   30 ( 3 )   67 - 76   2006.9

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  • Polynomial time perfect sampling algorithm for two-rowed contingency tables

    Shuji Kijima, Tomomi Matsui

    RANDOM STRUCTURES & ALGORITHMS   29 ( 2 )   243 - 256   2006.9

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  • Semidefinite programming based approaches to the break minimization problem

    R Miyashiro, T Matsui

    COMPUTERS & OPERATIONS RESEARCH   33 ( 7 )   1975 - 1982   2006.7

  • Dependent randomized rounding to the home-away assignment problem in sports scheduling

    Ayami Suzuka, Ryuhei Miyashiro, Akiko Yoshise, Tomomi Matsui

    IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES   E89A ( 5 )   1407 - 1416   2006.5

  • 1-A-3 対戦日程計画におけるCarry-Over Effect最小化問題(離散最適化(1))

    宮代 隆平, 松井 知己

    日本オペレーションズ・リサーチ学会春季研究発表会アブストラクト集   2006   14 - 15   2006.3

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  • DS-1-3 MCMC METHOD FOR CLOSED JACKSON NETWORKS

    Kijima Shuji, Matsui Tomomi

    Proceedings of the IEICE General Conference   2006 ( 1 )   "S - 13"-"S-14"   2006.3

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  • スーパーコンピューティングコンテスト2005

    松井知己

    数学セミナー   45 ( 1 )   58 - 61   2006.1

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  • A general construction method for mixed-level supersaturated design

    S Yamada, M Matsui, T Matsui, DKJ Lin, T Takahashi

    COMPUTATIONAL STATISTICS & DATA ANALYSIS   50 ( 1 )   254 - 265   2006.1

  • Approximation algorithms for minimum span channel assignment problems

    Yuichiro Miyamoto, Tomomi Matsui

    ALGORITHMIC ASPECTS IN INFORMATION AND MANAGEMENT, PROCEEDINGS   4041   334 - 342   2006

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  • Perfectness and imperfectness of the kth power of lattice graphs

    Yuichiro Miyamoto, Tomomi Matsui

    Lecture Notes in Computer Science   3521   233 - 242   2005.9

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  • 1-D-13 Sampling from Logarithmic Separable Concave Distribution on Simplex

    KIJIMA Shuji, MATSUI Tomomi

    2005   106 - 107   2005.9

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  • 離散化Dirichlet分布に従うパーフェクトサンプリング(セッション4, 日本計算機統計学会第18回大会報告)

    松井 知己, 来嶋 秀治

    計算機統計学   17 ( 2 )   162 - 162   2005.8

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  • Polynomial Time Perfect Sampler for Closed Jackson Networks with Single Servers

    Shuji KIJIMA, Tomomi MATSUI

    Lecture Notes in Operations Research   227 - 240   2005.8

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  • Polynomial Time Perfect Sampler for Closed Jackson Networks with Single Servers

    Shuji KIJIMA, Tomomi MATSUI

    Lecture Notes in Operations Research   ( 5 )   227 - 240   2005.8

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  • Perfectness and Imperfectness of the kth Power of Lattice Graphs

    Yuichiro MIYAMOTO, Tomomi MATSUI

    Lecture Notes in Computer Science   233 - 242   2005.6

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  • Semidefinite Programming Based Approaches to Home-away Assignment Problems in Sports Scheduling

    Ayami SUZUKA, Ryuhei MIYASHIRO, Akiko YOSHISE, Tomomi MATSUI

    Lecture Notes in Computer Science   95 - 103   2005.6

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  • Semidefinite Programming Based Approaches to Home-away Assignment Problems in Sports Scheduling

    Ayami SUZUKA, Ryuhei MIYASHIRO, Akiko YOSHISE, Tomomi MATSUI

    Lecture Notes in Computer Science   ( 3521 )   95 - 103   2005.6

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  • Rapidly Mixing Chain and Perfect Sampler for Logarithmic Separable Concave Distributions on Simplex

    Shuji KIJIMA, Tomomi MATSUI

    Proceedings of the 2005 International Conference on the Analysis of Algorithms   AD   369 - 380   2005.6

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  • Rapidly Mixing Chain and Perfect Sampler for Logarithmic Separable Concave Distributions on Simplex

    Shuji KIJIMA, Tomomi MATSUI

    Proceedings of the 2005 International Conference on the Analysis of Algorithms   369 - 380   2005.6

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  • Perfectness and Imperfectness of the kth Power of Lattice Graphs

    Yuichiro MIYAMOTO, Tomomi MATSUI

    Lecture Notes in Computer Science   ( 3521 )   233 - 242   2005.6

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  • 完璧にサンプリングしよう!(3)

    来嶋秀治, 松井知己

    オペレーションズ・リサーチ   50 ( 5 )   329 - 334   2005.5

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  • A polynomial-time algorithm to find an equitable home-away assignment

    R Miyashiro, T Matsui

    OPERATIONS RESEARCH LETTERS   33 ( 3 )   235 - 241   2005.5

  • 完璧にサンプリングしよう! : 第二話 天と地の狭間で

    来嶋 秀治, 松井 知己

    オペレーションズ・リサーチ : 経営の科学 = [O]perations research as a management science [r]esearch   50 ( 4 )   264 - 269   2005.4

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  • Perfectness and Multicoloring of Unit Disk Graphs on Triangular Lattice Points (Theoretical Computer Science and its Applications)

    Miyamoto Yuichiro, Matsui Tomomi

    RIMS Kokyuroku   1426   159 - 165   2005.4

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    Other Link: http://hdl.handle.net/2433/47274

  • 完璧にサンプリングしよう!(2)

    来嶋秀治, 松井知己

    オペレーションズ・リサーチ   50 ( 4 )   264 - 269   2005.4

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  • 完璧にサンプリングしよう!(1)

    来嶋秀治, 松井知己

    オペレーションズ・リサーチ   50 ( 3 )   169 - 174   2005.3

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  • スポーツスケジューリング―未解決問題を中心に―

    宮代隆平, 松井知己

    オペレーションズ・リサーチ   50 ( 2 )   119 - 124   2005.2

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  • スポーツスケジューリング ―未解決問題を中心に―

    宮代 隆平, 松井 知己

    オペレーションズ・リサーチ   50 ( 2 )   10 - 14   2005.2

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  • Multicoloring Unit Disk Graphs on Triangular Lattice Points

    Yuichiro MIYAMOTO, Tomomi MATSUI

    Proceedings of the Sixteenth Annual ACM-SIAM Symposium on Discrete Algorithms   895 - 896   2005.1

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  • Multicoloring Unit Disk Graphs on Triangular Lattice Points

    Yuichiro MIYAMOTO, Tomomi MATSUI

    Proceedings of the Sixteenth Annual ACM-SIAM Symposium on Discrete Algorithms   895 - 896   2005.1

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  • Multicoloring Unit Disk Graphs on Triangular Lattice Points

    Yuichiro Miyamoto, Tomomi Matsui

    PROCEEDINGS OF THE SIXTEENTH ANNUAL ACM-SIAM SYMPOSIUM ON DISCRETE ALGORITHMS   895 - 896   2005

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  • Approximate/perfect samplers for closed Jackson networks

    S Kijima, T Matsui

    PROCEEDINGS OF THE 2005 WINTER SIMULATION CONFERENCE, VOLS 1-4   2005   862 - 868   2005

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  • Semidefinite programming based approaches to home-away assignment problems in sports scheduling

    A Suzuka, R Miyashiro, A Yoshise, T Matsui

    ALGORITHMIC APPLICATIONS IN MANAGEMENT, PROCEEDINGS   3521   95 - 103   2005

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  • Efficient algorithms for the electric power transaction problem

    M Kiyomi, T Uno, T Matsui

    INTERNET AND NETWORK ECONOMICS, PROCEEDINGS   3828   602 - 611   2005

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  • Perfect Sampler for Closed Jackson Networks

    KIJIMA Shuji, MATSUI Tomomi

    IEICE technical report. Theoretical foundations of Computing   104 ( 318 )   55 - 59   2004.10

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    In this paper, we propose a perfect (exact) sampler for closed Jackson Networks. Our algorithm is a sampling with Markov chain, and realize the sampling from the target distribution exactly based on monotone Coupling from the Past (monotone CFTP). We propose a new Markov chain whose unique distribution is the product form solution for a closed Jackson Network, and show the chain is monotone and rapidly mixing. The expected running time of our algorithm is O(L^3ln(KL)) where L is the number of nodes in the network and K is the number of customers.

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  • Perfect Sampler for Closed Jackson Networks

    KIJIMA Shuji, MATSUI Tomomi

    IPSJ SIG Notes   2004 ( 101 )   55 - 59   2004.10

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    In this paper, we propose a perfect (exact) sampler for closed Jackson Networks. Our algorithm is a sampling with Markov chain, and realize the sampling from the target distribution exactly based on monotone Coupling from the Past (monotone CFTP). We propose a new Markov chain whose unique distribution is the product form solution for a closed Jackson Network, and show the chain is monotone and rapidly mixing. The expected running time of our algorithm is O(L^3In(KL)) where L is the number of nodes in the network and K is the number of customers.

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    Other Link: http://id.nii.ac.jp/1001/00031830/

  • Random generation of 2x2x center dot center dot center dot x2xJ contingency tables

    T Matsui, Y Matsui, Y Ono

    THEORETICAL COMPUTER SCIENCE   326 ( 1-3 )   117 - 135   2004.10

  • 電力取り引きにおける約定量決定問題の高速解法(組合せ最適化(5))

    清見 礼, 宇野 毅明, 松井 知己

    日本オペレーションズ・リサーチ学会秋季研究発表会アブストラクト集   2004   220 - 221   2004.9

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  • Polynomial Time Perfect Sampling Algorithm for Two-Rowed Contingency Tables

    Shuji KIJIMA, Tomomi MATSUI

    Mathematics and Computer Science III   175 - 186   2004.9

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  • Polynomial Time Perfect Sampling Algorithm for Two-Rowed Contingency Tables

    Shuji KIJIMA, Tomomi MATSUI

    Mathematics and Computer Science III   175 - 186   2004.9

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  • The Break Minimization Problem is Solvable in Polynomial Time When the Optimal Value is Less Than the Number of Teams

    Ryuhei MIYASHIRO, Tomomi MATSUI

    The 5th International Conference on the Practice and Theory of Automated Timetabling   535 - 538   2004.8

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  • The Break Minimization Problem is Solvable in Polynomial Time When the Optimal Value is Less Than the Number of Teams

    Ryuhei MIYASHIRO, Tomomi MATSUI

    The 5th International Conference on the Practice and Theory of Automated Timetabling   535 - 538   2004.8

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  • 平衡状態を探す:マルコフ連鎖/CFTP

    来嶋秀治, 松井知己

    数学セミナー   43 ( 8 )   42 - 46   2004.8

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  • Linear Time Approximation Algorithm for Multicoloring Lattice Graphs with Diagonals

    MIYAMOTO Yuichiro, MATSUI Tomomi

    IPSJ SIG Notes   2004 ( 34 )   35 - 40   2004.3

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    Let P be a subset of 2-dimensional integer lattice points P = {1, 2, …, m}x{l, 2, …, n} 〓 Z^2. We consider the graph Gp with vertex set P satisfying that two vertices in P are adjacent if and only if Euclidean distance between the pair is less than or equal to √<2>. Given a non-negative vertex weight vector w ∈ Z^p_+, a multicoloring of (Gp, w) is an ssignment of colors to P such that each vertex v ∈ P admits w(v) colors and every adjacent pair of two vertices does not share a common color. We show the NP-completeness of the problem to determine the existence of a multicoloring of (Gp, w) with strictly less than (4/3)ω colors where ω denotes the weight of a maximum weight clique. We also propose an O(mn) time approximation algorithm for multicoloring (Gp,w). Our algorithm finds a multicoloring with at most (4/3)ω+4 colors Our algorithm based on the property that when n = 3, we can find a multicoloring of (Gp, w) with ω colors easily, since an undirected graph associated with (Gp, w) becomes a perfect graph.

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  • Weighted Lattice Graph with Diagonals に対するマルチカラーリングの線形時間近似解法(グラフ・ネットワーク)

    宮本 裕一郎, 松井 知己

    日本オペレーションズ・リサーチ学会春季研究発表会アブストラクト集   2004   4 - 5   2004.3

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  • 離散化Dirichlet分布に従うPerfect Sampler(マルコフモデル)

    松井 知己, 来嶋 秀治

    日本オペレーションズ・リサーチ学会春季研究発表会アブストラクト集   2004   192 - 193   2004.3

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  • The Break Minimization Problem

    MIYASHIRO Ryohei, MATSUI Tomomi

    2004   176 - 177   2004.3

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  • Approximate Counting Scheme for m×n Contingency Tables

    KIJIMA Shuji, MATSUI Tomomi

    IEICE transactions on information and systems   E87-D ( 2 )   308 - 314   2004.2

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    In this paper, we propose a new counting scheme for m×n contingency tables. Our scheme is a modification of Dyer and Greenhill's scheme for two rowed contingency tables [5]. We can estimate not only the sizes of error, but also the sizes of the bias of the number of tables obtained by our scheme, on the assumption that we have an approximate sampler.

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  • Approximate Counting Scheme for mxn Contingency Tables

    Shuji KIJIMA, Tomomi MATSUI

    IEICE Transactions on Information and Systems   308 - 314   2004.2

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  • Linear time approximation algorithm for multicoloring lattice graphs with diagonals

    Yuichiro Miyamoto, Tomomi Matsui

    Journal of the Operations Research Society of Japan   47 ( 2 )   123 - 128   2004

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    DOI: 10.15807/jorsj.47.123

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  • A Cutting Plane Approach to Hub Network Design Problems

    SAITO Hiroo, FUJIE Tetsuya, MATSUI Tomomi

    2003   294 - 295   2003.9

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  • 2行分割表の多項式時間 Perfect Sampling

    来嶋 秀治, 松井 知己

    日本統計学会講演報告集   71   3 - 4   2003.9

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  • Computing the Similarity of two Melodies

    Greg Aloupis

    Proceedings of 15th Canadian Conference on Computational Geometry   113 - 116   2003.8

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  • Computing the Similarity of two Melodies

    Greg Aloupis

    Proceedings of 15th Canadian Conference on Computational Geometry   113 - 116   2003.8

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  • オークションの設計理論とOR (2)

    松井知己

    オペレーションズ・リサーチ   48 ( 8 )   574 - 579   2003.8

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  • A Rapidly Mixing Approximate Sampler of Dirichlet Distribution

    Tomomi MATSUI, Mitsuo MOTOKI, Naoyuki, KAMATANI

    Japan-Korea Joint Workshop on Algorithms and Computation   61 - 72   2003.7

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  • Sampling Algorithm for Two-rowed Contingency Tables

    Shuji KIJIMA, Tomomi MATSUI

    Japan-Korea Joint Workshop on Algorithms and Computation   73 - 85   2003.7

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  • オークションの設計理論とOR(1)

    松井知己

    オペレーションズ・リサーチ   48 ( 7 )   516 - 521   2003.7

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  • Sampling Algorithm for Two-rowed Contingency Tables

    Shuji KIJIMA, Tomomi MATSUI

    Japan-Korea Joint Workshop on Algorithms and Computation   73 - 85   2003.7

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  • Polyhedral Approach to the Hub Network Design Problem

    Hiro-o SAITO, Tetsuya FUJIE, Tomomi MATSUI

    Japan-Korea Joint Workshop on Algorithms and Computation   22 - 25   2003.7

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  • A Rapidly Mixing Approximate Sampler of Dirichlet Distribution

    Tomomi MATSUI, Mitsuo MOTOKI, Naoyuki, KAMATANI

    Japan-Korea Joint Workshop on Algorithms and Computation   61 - 72   2003.7

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  • Polyhedral Approach to the Hub Network Design Problem

    Hiro-o SAITO, Tetsuya FUJIE, Tomomi MATSUI

    Japan-Korea Joint Workshop on Algorithms and Computation   22 - 25   2003.7

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  • New approximation algorithms for MAX 2SAT and MAX DICUT

    S Matuura, T Matsui

    JOURNAL OF THE OPERATIONS RESEARCH SOCIETY OF JAPAN   46 ( 2 )   178 - 188   2003.6

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  • Characterizing Feasible Pattern Sets with a Minimum Number of Breaks

    Ryuhei MIYASHIRO, Hideya IWASAKI, Tomomi MATSUI

    Lecture Notes in Computer Science   78 - 99   2003.5

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  • 2×n分割表のPerfect Sampling(マルコフ連鎖)

    来嶋 秀治, 松井 知己

    日本オペレーションズ・リサーチ学会春季研究発表会アブストラクト集   2003   78 - 79   2003.3

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  • オークションの設計理論と数理計画

    MATSUI TOMOMI, WATANABE TAKAHIRO

    日本オペレーションズ・リサーチ学会シンポジウム   49th   7 - 12   2003.3

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  • Polynomial time approximate sampler for discretized Dirichlet distribution

    T Matsui, M Motoki, N Kamatani

    ALGORITHMS AND COMPUTATION, PROCEEDINGS   2906 ( 2906 )   676 - 685   2003

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  • A-2 2行分割表の多項式時間Perfect Sampling(コンペティション(1))(2003年度統計関連学会連合大会記録(日本統計学会第71回大会))

    来嶋 秀治, 松井 知己

    日本統計学会誌   33 ( 3 )   383 - 383   2003

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  • Characterizing feasible pattern sets with a minimum number of breaks

    R Miyashiro, H Iwasaki, T Matsui

    PRACTICE AND THEORY OF AUTOMATED TIMETABLING IV   2740   78 - 99   2003

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  • Characterizing feasible pattern sets with a minimum number of breaks

    R Miyashiro, H Iwasaki, T Matsui

    PRACTICE AND THEORY OF AUTOMATED TIMETABLING IV   2740   78 - 99   2003

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  • Approximate Counting Scheme for m×n Contingency tables

    Shuji KIJIMA, Tomomi MATSUI

    The Japan Conference on Discrete and Computational Geometry Proceedings   59 - 60   2002.12

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  • Approximate Counting Scheme for m×n Contingency tables

    Shuji KIJIMA, Tomomi MATSUI

    The Japan Conference on Discrete and Computational Geometry Proceedings   59 - 60   2002.12

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  • Path coupling 法を用いた : 多元分割表生成のためのマルコフ連鎖設計

    松井 知己, 松井 泰子, 小野 陽子

    日本統計学会講演報告集   70   163 - 164   2002.9

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  • Characterizing Feasible Pattern Sets with a Minimum Number of Breaks

    Ryuhei MIYASHIRO, Hideya IWASAKI, Tomomi MATSUI

    Proceedings of the 4th International Conference on the Practice and Theory of Automated Timetabling   311 - 313   2002.8

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  • Characterizing Feasible Pattern Sets with a Minimum Number of Breaks

    Ryuhei MIYASHIRO, Hideya IWASAKI, Tomomi MATSUI

    Proceedings of the 4th International Conference on the Practice and Theory of Automated Timetabling   311 - 313   2002.8

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  • Optimality of mixed-level supersaturated designs

    S Yamada, T Matsui

    JOURNAL OF STATISTICAL PLANNING AND INFERENCE   104 ( 2 )   459 - 468   2002.6

  • Notes on equitable round-robin tournaments

    Ryuhei MIYASHIRO, Tomomi MATSUI

    IEICE Transactions on Fundamentals of Electronics   E85-A ( 5 )   1006 - 1010   2002.5

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  • Notes on equitable round-robin tournaments

    Ryuhei MIYASHIRO, Tomomi MATSUI

    IEICE Transactions on Fundamentals of Electronics   1006 - 1010   2002.5

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  • A linear relaxation for hub network design problems

    H Saito, S Matuura, T Matsui

    IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES   E85A ( 5 )   1000 - 1005   2002.5

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  • 第6章「整数計画法」

    久保幹雄, 田村明久, 松井知己編, 松井知己

    応用数理計画ハンドブック   240 - 294   2002.4

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  • Approximation algorithm for generating B^m × J contingency tables

    MATSUI Tomomi, MATSUI Yasuko, ONO Yoko

    2002   198 - 199   2002.3

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  • Notes on equitable round-robin tournaments

    Ryuhei Miyashiro, Tomomi Matsui

    IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences   E85-A ( 5 )   1006 - 1010   2002.1

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  • A linear relaxation for hub network design problems

    Hiro O. Saito, Shiro Matuura, Tomomi Matsui

    IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences   E85-A ( 5 )   1000 - 1005   2002.1

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  • Finding a Common Weight Vector of DEA Based on Bargaining Game(DEA(1))

    SUGIYAMA Manabu, MATSUI Tomomi

    2001   16 - 17   2001.9

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  • 必要不可欠財オークションによる複数財の資源配分

    MATSUI TOMOKI, WATANABE TAKAHIRO

    日本オペレーションズ・リサーチ学会秋季研究発表会アブストラクト集   2001   146 - 147   2001.9

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  • 携帯電話はどうしてつながるのか--携帯電話ネットワークの頂点彩色問題

    松井知己

    数学セミナー   40 ( 9 )   56 - 59   2001.9

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  • 0.863 Approximation Algorithm for MAX DICUT

    Shiro MATUURA, Tomomi MATSUI

    Lecture Notes in Computer Science   138 - 146   2001.8

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  • 0.863 Approximation Algorithm for MAX DICUT

    Shiro MATUURA, Tomomi MATSUI

    Lecture Notes in Computer Science   ( 2129 )   138 - 146   2001.8

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  • NP-completeness for calculating power indices of weighted majority games

    Y Matsui, T Matsui

    THEORETICAL COMPUTER SCIENCE   263 ( 1-2 )   305 - 310   2001.7

  • Sealed Bid Multi-object Auctions with Necessary Bundles and Its Application to Spectrum Auctions

    Tomomi MATSUI, Takahiro WATANABE

    Lecture Notes in Artificial Intelligence   78 - 92   2001.7

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  • Sealed Bid Multi-object Auctions with Necessary Bundles and Its Application to Spectrum Auctions

    Tomomi MATSUI, Takahiro WATANABE

    Lecture Notes in Artificial Intelligence   ( 2132 )   78 - 92   2001.7

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  • Digital Halftoning : Optimization via Network Flow Algorithm

    ASANO Tetsuo, KATOH Naoki, MATSUI Tomomi, NAGAMOCHI Hiroshi, OBOKATA Koji, TOKUYAMA Takeshi

    IEICE technical report. Theoretical foundations of Computing   101 ( 133 )   41 - 48   2001.6

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    Digital halftoning is an important technique for printers to convert a continuous-tone image to a binary image which looks similar to the input image. In this paper we formulate it as a combinatorial optimization problem to minimize the total error. We show that the problem can be solved in polynomial time by taking an appropriate family of regions to evaluate the errors despite the negative result that it is NP-hard for a general family of regions. A key idea is to apply an algorithm for minimum-cost network flow based on the theory relating geometric feature to computational complexity.

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  • Linear Relaxation for Hub Location Problems

    Hiro-o SAITO, Shiro MATUURA, Tomomi MATSUI

    Proceedings of the 6th KOREA-JAPAN Joint Workshop on Algorithms and Computation   15 - 20   2001.6

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  • Digital Halftoning: Its Computational Complexity and Approximation Algorithms Based on Network Flow

    Tetsuo ASANO, o

    Proceedings of the 6th KOREA-JAPAN Joint Workshop on Algorithms and Computation   21 - 28   2001.6

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  • Linear Relaxation for Hub Location Problems

    Hiro-o SAITO, Shiro MATUURA, Tomomi MATSUI

    Proceedings of the 6th KOREA-JAPAN Joint Workshop on Algorithms and Computation   15 - 20   2001.6

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  • Note on Equitable Round-Robin Tournaments

    Ryuhei MIYASHIRO, Tomomi MATSUI

    Proceedings of the 6th KOREA-JAPAN Joint Workshop on Algorithms and Computation   135 - 140   2001.6

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  • Digital Halftoning: Its Computational Complexity and Approximation Algorithms Based on Network Flow

    Tetsuo ASANO

    Proceedings of the 6th KOREA-JAPAN Joint Workshop on Algorithms and Computation   21 - 28   2001.6

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  • MAX DICUT問題の近似解法 (計算理論とアルゴリズムの新展開)

    松浦 史郎, 松井 知己

    数理解析研究所講究録   1205   131 - 135   2001.5

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    Other Link: http://hdl.handle.net/2433/41013

  • 決め方を決める難かしさ(下)

    松井知己

    数学セミナー   40 ( 3 )   52 - 55   2001.3

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  • Arrow の一般可能性定理の証明の解説

    松井知己

    オペレーションズ・リサーチ   46 ( 2 )   93 - 97   2001.2

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  • 決め方を決める難かしさ(上)

    松井知己

    数学セミナー   40 ( 2 )   50 - 54   2001.2

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  • Sealed bid multi-object auctions with necessary bundles and its application to spectrum auctions

    Tomomi Matsui, Takahiro Watanabe

    Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)   2132   78 - 92   2001.1

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  • Integer programming based algorithms for peg solitaire problems

    Masashi Kiyomi, Tomomi Matsui

    Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)   2063 ( 2063 )   229 - 240   2001

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    Language:English   Publisher:Springer Verlag  

    DOI: 10.1007/3-540-45579-5_15

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  • Inactivation of the checkpoint kinase Cds1 is dependent on cyclin B-Cdc2 kinase activation at the meiotic G2/M-phase transition in Xenopus oocytes

    T. Gotoh, K. Ohsumi, T. Matsui, H. Takisawa, T. Kishimoto

    Journal of Cell Science   114 ( 18 )   3397 - 3406   2001

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  • ホームページ「最適化ソフトウェアとテスト問題集」(特別部会セッション : 数理計画)

    松井 知己

    日本オペレーションズ・リサーチ学会秋季研究発表会アブストラクト集   2000   256 - 257   2000.9

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  • Farkasの補題と双対定理の初等的証明(数理計画)

    松井 知己, 並木 誠

    日本オペレーションズ・リサーチ学会秋季研究発表会アブストラクト集   2000   18 - 19   2000.9

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  • Farkas の補題の初等的証明

    松井知己, 並木誠

    オペレーションズ・リサーチ   45 ( 8 )   528 - 530   2000.8

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  • Optimal Rounding of Sequences and Matrices

    Tetsuo ASANO, Tomomi MATSUI, Takeshi TOKUYAMA

    Nordic Journal of Computing   7 ( 3 )   241 - 256   2000.7

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  • Optimal Rounding of Sequences and Matrices

    Tetsuo ASANO, Tomomi MATSUI, Takeshi TOKUYAMA

    Nordic Journal of Computing   241 - 256   2000.7

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  • 「整数計画法」他16項目.

    OR用語辞典   2000.4

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  • 半正定値計画を用いた最大カット問題の.878近似解法

    松井知己

    オペレーションズ・リサーチ   45 ( 2 )   140 - 145   2000.2

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  • 1993年Jリーグの再スケジューリング

    宮代隆平, 松井知己

    オペレーションズ・リサーチ   45 ( 1 )   81 - 83   2000.1

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  • Approximation algorithms for maximum independent set problems and fractional coloring problems on unit disk graphs

    T Matsui

    DISCRETE AND COMPUTATIONAL GEOMETRY   1763   194 - 200   2000

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  • 最長片道きっぷの厳密解を求める

    宮代隆平, 葛西 隆也, 松井 知己

    OR学会2000年秋季研究発表会アブストラクト集   24 - 25   2000

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  • On the complexities of the optimal rounding problems of sequences and matrices

    T Asano, T Matsui, T Tokuyama

    ALGORITHM THEORY - SWAT 2000   1851 ( 1851 )   476 - 489   2000

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  • Computational Complexity of Digital Halftoning (Algorithm Engineering as a New Paradigm)

    Asano Tetsuo, Tokuyama Takeshi, Matsui Tomomi

    RIMS Kokyuroku   1120   140 - 150   1999.12

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  • 相補スラック定理から入ってみたら

    松井知己

    オペレーションズ・リサーチ   44 ( 10 )   p.667   1999.10

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  • 2×n 型双行列ゲームの Nash 均衡点を求める図解法

    松井知己

    オペレーションズ・リサーチ   44 ( 10 )   665 - 666   1999.10

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  • Repairing a Flaw in Contour Maps

    Tomomi MATSUI

    Proceedings of the Third KOREA-JAPAN Joint Workshop on Algorithms and Computation   20 - 25   1999.7

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  • Repairing a Flaw in Contour Maps

    Tomomi MATSUI

    Proceedings of the Third KOREA-JAPAN Joint Workshop on Algorithms and Computation   20 - 25   1999.7

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  • Approximation algorithm for maximum independent set problems on unit disk graphs

    MATSUI Tomomi

    1999   142 - 143   1999.3

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  • Approximation algorithms for maximum independent set problems on unit disk graphs

    MATSUI Tomomi

    IPSJ SIG Notes   1999 ( 26 )   1 - 6   1999.3

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    Unit disk graphs are the intersection graphs of equal sized circles in the plane. In this paper, we consider the maximum independent set problem on the unit disk graph. When the given unit disk graph is defined on a slab whose width isk, we propose an algorithm for finding a maximum independent set in O(n^4[2k/3]) time where n denotes the nuber of vertices. We also propose a (1-1/r)-approximation algorithm for the maximum independent set problems on a(general) unit disk graph whose time complexity is bounded by O(rn^4[2(r-1)/3]).

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  • スポーツのスケジューリング

    松井知己

    オペレーションズ・リサーチ   44 ( 3 )   141 - 146   1999.3

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  • チャネル割当問題の解法

    宮本裕一郎, 松井知己

    数理モデル化と応用   SIG2 ( 1 )   23 - 32   1999.2

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  • A fast bipartite network flow algorithm for selective assembly

    Satoru Iwata, Tomomi Matsui, S. Thomas McCormick

    Operations Research Letters   22 ( 4-5 )   137 - 143   1998.12

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  • Algorithms for channel assignment problems

    MIYAMOTO Yuichiro, MATSUI Tomomi

    IPSJ SIG Notes   1998 ( 67 )   13 - 18   1998.7

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    In this paper, we present algorithms for channel(frequency)assignment problems. We formulate channel assignment problems as combinatorial optimization problems. We propose an exact method, an approximation algorithm and heuristic algorithms. We also report the results of computational experiences. We formulated the problem as an integer linear programming problem and solved by a package software. We present a 5-approximation algorithm for particular graphs which are similar to real instances. We propose two construction methods and two improvement methods and present heuristic algorithms each of which is a combination of a construction method and improvement methods.

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  • A Note on the Nucleolus of Assignment Games

    Tomomi MATSUI

    Proceedings of the International Conference on Nonlinear Analysis and Convex Analysis   253 - 260   1998.7

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  • A Note on the Nucleolus of Assignment Games

    Tomomi MATSUI

    Proceedings of the International Conference on Nonlinear Analysis and Convex Analysis   253 - 260   1998.7

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  • 重み付き多数決ゲームでの投票力指数計算のNP完全性(ゲーム・理論)

    松井 泰子, 松井 知己

    日本オペレーションズ・リサーチ学会春季研究発表会アブストラクト集   1998   98 - 99   1998.5

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  • A fast bipartite network flow algorithm for selective assembly

    S Iwata, T Matsui, ST McCormick

    OPERATIONS RESEARCH LETTERS   22 ( 4-5 )   137 - 143   1998.5

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  • Finding the Nucleolus of Assignment Games

    MATSUI Tomomi

    1997   34 - 35   1997.9

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  • A Flexible Algorithm for Generating All Spanning Trees in Undirected Graphs

    Tomomi MATSUI

    Algorithmica   530 - 544   1997.8

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  • A Flexible Algorithm for Generating All Spanning Trees in Undirected Graphs

    Tomomi MATSUI

    Algorithmica   18 ( 4 )   530 - 544   1997.8

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  • A Flexible Algorithm for Generating All the Spanning Trees in Undirected Graphs

    T. Matsui

    Algorithmica (New York)   18   530 - 544   1997.1

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  • NP-hardness of Linear Multiplicative Programming and Related Problems

    Tomomi MATSUI

    Journal of Global Optimization   113 - 119   1996.9

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  • NP-hardness of Linear Multiplicative Programming and Related Problems

    Tomomi MATSUI

    Journal of Global Optimization   9 ( 2 )   113 - 119   1996.9

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  • Finding All Maximal Common Independent Sets of Matroids

    Yasuko MATSUI, Tomomi MATSUI

    Proceedings of Korea-Japan Joint Workshop on Algorithms and Computation   54 - 58   1996.8

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  • Finding All Maximal Common Independent Sets of Matroids

    Yasuko MATSUI, Tomomi MATSUI

    Proceedings of Korea-Japan Joint Workshop on Algorithms and Computation   54 - 58   1996.8

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  • 月次配油計画とその解法(スケジューリング(4))

    榎本 卓司, 中塚 誠次, 伊藤 慎司, 松井 知己

    日本オペレーションズ・リサーチ学会春季研究発表会アブストラクト集   1996   308 - 309   1996.5

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  • An Enumeration Algorithm for the Edge Coloring Problem on Bipartite Graphs

    Yasuko MATSUI, Tomomi MATSUI

    Lecture Notes in Computer Science   1120   18 - 26   1996.5

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  • An Enumeration Algorithm for the Edge Coloring Problem on Bipartite Graphs

    Yasuko MATSUI, Tomomi MATSUI

    Lecture Notes in Computer Science   18 - 26   1996.5

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  • Is a Given Flow Uncontrollable?

    Tomomi MATSUI

    IEICE Trans. Fundamentals   E79-A ( 4 )   448 - 451   1996.4

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  • Is a Given Flow Uncontrollable?

    Tomomi MATSUI

    IEICE Trans. Fundamentals   448 - 451   1996.4

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  • K Best Bases of a Weighted Matroid

    MATSUI Tomomi, MATSUI Yasuko

    IPSJ SIG Notes   1996 ( 28 )   33 - 40   1996.3

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    In this paper, we propose an algorithm which generates the bases of matroids. The enumeration algorithm requires O(β(T+r^2)) time and O(r^3) space where β is the number of bases, r is the rank of a given matroid and O(T+r) is the time complexity of circuit oracle. In the last section, we describe a ranking algorithm which generates all the bases in order of nonincreasing order of weight. The algorithm requires O(n^2+K(T+r^2+logn)) time and O(Krn) space for finding K best bases. When the weight vector is integer valued, time complexity becomes O(K((T+r^2+logW)) time and the space complexity becomes O(logW+Krn) space by employing the radix heap structure where W is the maximum absolute value of weights.

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  • 偽金貨を探そう

    松井知己, 松井泰子

    オペレーションズ・リサーチ   41 ( 3 )   141 - 144   1996.3

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  • Is a given flow uncontrollable?

    Tomomi Matsui

    IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences   E79-A ( 4 )   448 - 451   1996.1

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  • Enumeration algorithm for the edge coloring problem on bipartite graphs

    Yasuko Matsui, Tomomi Matsui

    Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)   1120   18 - 26   1996.1

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  • 非巡回的有向グラフ上のs-tパスの列挙(組合せ最適化(5))

    松井 泰子, 松井 知己, 宇野 毅明

    日本オペレーションズ・リサーチ学会秋季研究発表会アブストラクト集   1995   250 - 251   1995.10

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  • 全張木を重さの軽い順に列挙する(組合せ最適化(5))

    松井 知己, 松井 泰子

    日本オペレーションズ・リサーチ学会秋季研究発表会アブストラクト集   1995   252 - 253   1995.10

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  • Handbooks in OR and MS 1

    206 - 358   1995.10

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  • 第4章「ネットワークフロー」

    伊理正夫, 今野浩, 刀根薫 監訳

    最適化ハンドブック   206 - 358   1995.10

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  • Ranking all the spanning trees

    MATSUI Tomomi

    Proceedings of the Society Conference of IEICE   1995   281 - 282   1995.9

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  • Finding All the s-t Paths in Acyclic Graphs

    Yasuko MATSUI, Tomomi MATSUI, Takeaki UNO

    Lecture Notes in Operations Research   ( 1 )   259 - 266   1995.8

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  • Finding All the s-t Paths in Acyclic Graphs

    Yasuko MATSUI, Tomomi MATSUI, Takeaki UNO

    Lecture Notes in Operations Research   259 - 266   1995.8

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  • NP-completeness of Non-adjacency Relations on Some 0-1 Polytopes

    Tomomi MATSUI

    Lecture Notes in Operations Research   ( 1 )   249 - 258   1995.8

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  • NP-completeness of Non-adjacency Relations on Some 0-1 Polytopes

    Tomomi MATSUI

    Lecture Notes in Operations Research   249 - 258   1995.8

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  • 選択組立におけるマッチング算法(組合せ最適化(2))

    岩田 覚, 松井 知己

    日本オペレーションズ・リサーチ学会春季研究発表会アブストラクト集   1995   138 - 139   1995.3

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  • 組合せ最適化研究部会(COSTA)部会報告(ペーパーフェア)

    松井 知己

    日本オペレーションズ・リサーチ学会春季研究発表会アブストラクト集   1995   300 - 301   1995.3

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  • AN ALGORITHM FOR FRACTIONAL ASSIGNMENT PROBLEMS

    M SHIGENO, Y SARUWATARI, T MATSUI

    DISCRETE APPLIED MATHEMATICS   56 ( 2-3 )   333 - 343   1995.1

  • ADJACENCY ON COMBINATORIAL POLYHEDRA

    T MATSUI, S TAMURA

    DISCRETE APPLIED MATHEMATICS   56 ( 2-3 )   311 - 321   1995.1

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  • 0-1 多面体における端点の隣接性判定問題について(組み合わせ最適化(3))

    松井 知己

    日本オペレーションズ・リサーチ学会秋季研究発表会アブストラクト集   1994   126 - 127   1994.10

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  • DEAモデルに基づく新たな経営効率性分析法の提案

    山田善靖, 松井知己, 杉山学

    Journal of Operations Research Society of Japan   37 ( 2 )   158 - 168   1994.6

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    DOI: 10.15807/jorsj.37.158

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  • ALGORITHMS FOR FINDING A KTH BEST VALUED ASSIGNMENT

    T MATSUI, A TAMURA, Y IKEBE

    DISCRETE APPLIED MATHEMATICS   50 ( 3 )   283 - 296   1994.5

  • 2部グラフの辺彩色の列挙解法

    吉田泰子, 松井知己

    電気学会誌C部門誌   114-C ( 4 )   444 - 449   1994.4

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    DOI: 10.1541/ieejeiss1987.114.4_444

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  • 組合せ最適化における最近の動向について

    松井知己

    電気学会論文誌B部門誌   114-B ( 4 )   327 - 330   1994.4

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    DOI: 10.1541/ieejpes1990.114.4_327

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  • FINDING ALL THE PERFECT MATCHINGS IN BIPARTITE GRAPHS

    K FUKUDA, T MATSUI

    APPLIED MATHEMATICS LETTERS   7 ( 1 )   15 - 18   1994.1

  • Adjacency of the best and second best valued solutions in combinatorial optimization problems

    Yoshiko Ikebe, Tomomi Matsui, Akihisa Tamura

    Discrete Applied Mathematics   47 ( 3 )   227 - 232   1993.12

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  • Adjacency of the Best and Second Valued Best Solutions in Combinatorial Optimization Problems

    Yoshiko IKEBE, Tomomi MATSUI, Akihisa TAMURA

    Discrete Applied Mathematics   227 - 232   1993.12

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  • ADJACENCY OF THE BEST AND 2ND BEST VALUED SOLUTIONS IN COMBINATORIAL OPTIMIZATION PROBLEMS

    Y IKEBE, T MATSUI, A TAMURA

    DISCRETE APPLIED MATHEMATICS   47 ( 3 )   227 - 232   1993.12

  • A NOTE ON K-BEST SOLUTIONS TO THE CHINESE POSTMAN PROBLEM

    Yasufumi Saruwatari, Tomomi Matsui

    SIAM JOURNAL ON OPTIMIZATION   3 ( 4 )   726 - 733   1993.11

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  • A Note on K Best Solutions to the Chinese Postman Problem

    Yasufumi SARUWATARI, Tomomi MATSUI

    SIAM Journal on Optimization   726 - 733   1993.11

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  • 平面的グラフ上の最小木問題の線形時間解法(グラフ・ネットワーク)

    松井 知己

    日本オペレーションズ・リサーチ学会秋季研究発表会アブストラクト集   1993   154 - 155   1993.10

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  • 2部グラフの辺彩色の列挙(グラフ・ネットワーク)

    吉田 泰子, 松井 知己

    日本オペレーションズ・リサーチ学会秋季研究発表会アブストラクト集   1993   160 - 161   1993.10

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  • 多施設巡回路決定問題について(グラフ・ネットワーク)

    和田 恭, 松井 知己

    日本オペレーションズ・リサーチ学会春季研究発表会アブストラクト集   1993   196 - 197   1993.3

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  • 無向グラフにおける全張木の高速列挙解法(組合せ最適化)

    松井 知己

    日本オペレーションズ・リサーチ学会春季研究発表会アブストラクト集   1993   212 - 213   1993.3

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  • 組み合わせ最適化(組合せ最適化)

    松井 知己

    日本オペレーションズ・リサーチ学会秋季研究発表会アブストラクト集   1992   22 - 23   1992.9

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  • 分散型の目的関数をもつ割当問題の一解法(数理計画)

    繁野 麻衣子, 猿渡 康文, 松井 知己

    日本オペレーションズ・リサーチ学会秋季研究発表会アブストラクト集   1992   108 - 109   1992.9

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  • DEAとInverse DEAを用いたDMU活動の特異性分析(意思決定とDEA(1))

    山田 善靖, 杉山 学, 松井 知己

    日本オペレーションズ・リサーチ学会秋季研究発表会アブストラクト集   1992   136 - 137   1992.9

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  • 0-1分数計画問題に対するDinkelbachの解法の解析(組合せ最適化(4))

    松井 知己, 猿渡 康文, 繁野 麻衣子

    日本オペレーションズ・リサーチ学会秋季研究発表会アブストラクト集   1992   228 - 229   1992.9

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  • DEAモデルに基づく下包絡分析の提案(経営・金融)

    山田 善靖, 松井 知己, 杉山 学, 山口 真保子

    日本オペレーションズ・リサーチ学会春季研究発表会アブストラクト集   1992   242 - 243   1992.5

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  • Finding all minimum‐cost perfect matchings in Bipartite graphs

    Komei Fukuda, Tomomi Matsui

    Networks   22 ( 5 )   461 - 468   1992

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  • 重み付単体分割点問題について : 独立タスク割付問題への適用(数理計画)

    松井 知己, 小林 明央, 山田 善靖

    日本オペレーションズ・リサーチ学会秋季研究発表会アブストラクト集   1991   48 - 49   1991.10

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  • 連続分数ナップサック問題のO(n)解法(組合せ理論)

    松井 知己, 小島 徹男, 山田 善靖

    日本オペレーションズ・リサーチ学会秋季研究発表会アブストラクト集   1991   54 - 55   1991.10

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  • Nonparametric Estimation of Bivariate Distribution from Quantile-Response Data

    MIYAKAWA Masami, MATSUI Tomomi, TAKANO Hiroyuki

    Ouyou toukeigaku   20 ( 1 )   1 - 10   1991.7

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    Publisher:Japanese Society of Applied Statistics  

    DOI: 10.5023/jappstat.20.1

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  • The K-th best Chinese postman problem.

    SARUWATARI Yasufumi, MATSUI Tomomi

    1991   258 - 259   1991.5

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  • Auction Algorithm for Minimum Arborescence Problems

    MATSUI Tomomi, SHIBATA Kazutaka

    1991   254 - 255   1991.5

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  • ON THE FINITENESS OF THE CRISSCROSS METHOD

    K FUKUDA, T MATSUI

    EUROPEAN JOURNAL OF OPERATIONAL RESEARCH   52 ( 1 )   119 - 124   1991.5

  • Parametric simplex algorithms for solving a special class of nonconvex minimization problems

    Hiroshi Konno, Yasutoshi Yajima, Tomomi Matsui

    Journal of Global Optimization   1 ( 1 )   65 - 81   1991.3

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    Language:English   Publisher:Kluwer Academic Publishers  

    DOI: 10.1007/BF00120666

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  • Parametric Simplex Algorithms for Solving a Special Class of Nonconvex Minimization Problems

    Hiroshi KONNO, Yasutoshi YAJIMA, Tomomi MATSUI

    Journal of Global Optimization   1 ( 1 )   65 - 81   1991.1

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  • Parametric Simplex Algorithms for Solving a Special Class of Nonconvex Minimization Problems

    Hiroshi KONNO, Yasutoshi YAJIMA, Tomomi MATSUI

    Journal of Global Optimization   65 - 81   1991.1

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  • Edge Cover Lower Bounds for Steiner Subgraph Problems

    MATSUI Tomomi, YABE Ken-ichi

    1990   200 - 201   1990.5

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    Language:English   Publisher:The Operations Research Society of Japan  

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  • Parametric Simplex method for Solving a Special Class of Nonconvex Minimization Problems

    KONNO Hiroshi, YAJIMA Yasutoshi, MATSUI Tomomi

    1990   160 - 161   1990.5

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  • Adjacency of the Best and Second Best Valued Solutions in Combinatorial Optimization Problems

    IKEBE Yoshiko, MATSUI Tomomi, TAMURA Akihisa

    1990   234 - 235   1990.5

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  • Algorithms for Finding a Kth Best Valued Assignment

    IKEBE Yoshiko, MATSUI Tomomi, TAMURA Akihisa

    1990   232 - 233   1990.5

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  • 1986年度秋季研究発表会および第17回シンポジウムルポ

    木嶋 恭一, 吉瀬 章子, 松井 知己, 栗田 治, 白川 浩

    オペレーションズ・リサーチ : 経営の科学   32 ( 1 )   40 - 43   1987.1

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Presentations

  • Optimal Piano Fingering Based on Inverse Optimization

    International Conference on OPERATIONS RESEARCH (Zurich 2011)  2011 

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  • Approximation Algorithms for Data Association Problem Arising from Multitarget Tracking

    17th Computing: the Australasian Theory Symposium (CATS'11)  2011 

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  • Minimum Cost Home-Away Assignment of Double Round-Robin Tournament

    3rd International Conference on Mathematics in Sport Proceedings Papers  2011 

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  • Inverse assignment problem for timetabling in tutoring school

    The 19th Triennial Conference of the International Federation of Operational Research Societies (IFORS2011)  2011 

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  • Single Allocation Problem in Hub-and-Spoke Networks on 2D Plane

    The 19th Triennial Conference of the International Federation of Operational Research Societies(IFORS2011)  2011 

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  • Algorithm for Single Allocation Problem on Hub-and-Spoke Networks in 2-Dimensional Plane

    22th International Symposium on Algorithms and Computation (ISAAC 2011)  2011 

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  • Hiding an Image into Different Images

    International Conference on OPERATIONS RESEARCH (Zurich 2011)  2011 

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  • Touch Typing Trainer System

    International Conference on OPERATIONS RESEARCH (Zurich 2011)  2011 

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  • Single Allocation Problem in Hub-and-Spoke Networks on 2D Plane

    The 19th Triennial Conference of the International Federation of Operational Research Societies(IFORS2011)  2011 

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  • Inverse assignment problem for timetabling in tutoring school

    Symposium on Scheduling 2011 (ISS2011)  2011 

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  • Minimum Cost Home-Away Assignment of Double Round-robin Tournament

    International Conference on OPERATIONS RESEARCH (Zurich 2011)  2011 

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  • Optimal Piano Fingering Based on Inverse Optimization

    International Conference on OPERATIONS RESEARCH (Zurich 2011)  2011 

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  • Lower Bounds for Bruss' Odds Problem with Multiple Stoppings

    日本オペレーションズリサーチ学会2012年春季研究発表会  2012 

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  • Approximation Algorithms for Data Association Problem Arising from Multitarget Tracking

    17th Computing: the Australasian Theory Symposium (CATS'11)  2011 

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  • Minimum Cost Home-Away Assignment of Double Round-Robin Tournament

    3rd International Conference on Mathematics in Sport Proceedings Papers  2011 

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  • Inverse assignment problem for timetabling in tutoring school

    The 19th Triennial Conference of the International Federation of Operational Research Societies (IFORS2011)  2011 

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  • Algorithmic Aspects of Equilibria of Stable Marriage Model with Complete Preference Lists

    Workshop on Combinatorial Geometry and Algorithms  2010 

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  • Linear Relaxation Method for Domino Portrait Generation

    International Conference on OPERATIONS RESEARCH (MUNICH 2010)  2010 

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  • Computational Experiments of Perfect Sampling Algorithms for Two-way Contingency Tables

    International Conference on OPERATIONS RESEARCH (MUNICH 2010)  2010 

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  • Algorithmic Aspects of Equilibria of Stable Marriage Model with Complete Preference Lists

    International Conference on OPERATIONS RESEARCH (MUNICH 2010)  2010 

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  • Algorithm for Single Allocation Problem on Hub-and-Spoke Networks in 2-Dimensional Plane

    22th International Symposium on Algorithms and Computation (ISAAC 2011)  2011 

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  • Computational Experiments on Perfect Sampling of Contingency Tables

    The 3rd Annual Meeting of the Asian Association for Algorithms and Computation (AAAC2010)  2010 

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  • Algorithms for Domino Portrait Generation

    The 3rd Annual Meeting of the Asian Association for Algorithms and Computation (AAAC2010)  2010 

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  • An Approximation Algorithm for the Unconstrained Traveling Tournament Problem

    he International Series of Conferences on the Practice and Theory of Automated Timetabling (PATAT2010)  2010 

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  • Touch Typing Trainer System

    International Conference on OPERATIONS RESEARCH (Zurich 2011)  2011 

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  • 画像を再構築するスライディングブロックパズルの自動生成

    エンタテインメントコンピューティング2011  2011 

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  • 最適化モデルを用いたモザイクアート作成法の提案

    2011年度冬のLAシンポジウム  2012 

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  • 拡張型画像割符技術の最適化モデル

    2011年度冬のLAシンポジウム  2012 

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  • スライディングブロックパズルを用いた画像再構築

    日本オペレーションズリサーチ学会2011年秋季研究発表会  2011 

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  • 閉BCMPネットワークに対するMCMC法

    待ち行列シンポジウム「ユビキタスネットワーク社会における情報通信サービスの設計・評価法」  2007 

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  • Approximation Algorithm for Multidimensional Assignment Problem Minimizing the Sum of Squared Errors

    科学研究費「計算代数統計学の展開」基盤研究 (A) 18200019(研究代表者: 竹村彰通)による研究集会『統計的離散モデリング』  2007 

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  • 多次元割当問題の近似解法

    研究集会「最適化:モデリングとアルゴリズム」  2007 

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  • On Rank Aggregation of Multiple Orderings in Network Design

    International Network Optimization Conference (INOC)  2007 

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  • Approximation algorithm for multidimensional assignment problem minimizing the sum of squared errors

    2007 

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  • Minimizing Carry-Over Effects Value in a Round-Robin Tournament

    22nd European Conference on Operational Research  2007 

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  • On a Strategic Issue in Gale-Shapley Algorithm

    The First AAAC Annual Meeting (Asian Association for Algorithms and Computation)  2008 

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  • Successful Manipulation in Stable Marriage Model with Complete Preference Lists

    Matching Under Preferences, Satelite workshop of ICALP 2008  2008 

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  • An Approximation Algorithm for the Traveling Tournament Problem

    Proceedings of The 7th International Conference on the Practice and Theory of Automated Timetabling  2008 

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  • 自律移動ロボットの最適タスク計算

    電子情報通信学会 2009年ソサイエティ大会  2008 

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  • Successful Manipulation in Stable Marriage Model with Complete Preference Lists

    Matching Under Preferences, Satelite workshop of ICALP 2008  2008 

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  • An Approximation Algorithm for the Traveling Tournament Problem

    Proceedings of The 7th International Conference on the Practice and Theory of Automated Timetabling  2008 

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  • 完全選好リストを持つ安定結婚問題における戦略的操作可能性について

    研究集会「最適化:モデリングとアルゴリズム」  2008 

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  • 数理ゲームの必勝法とイカサマの技

    イベント企画:組合せパズルの数理とコンピュテーション, 第9回情報科学技術フォーラム(FIT2010)  2010 

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  • Algorithmic Aspects of Equilibria of Stable Marriage Model with Complete Preference Lists

    Workshop on Combinatorial Geometry and Algorithms  2010 

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  • Computational Experiments on Perfect Sampling of Contingency Tables

    The 3rd Annual Meeting of the Asian Association for Algorithms and Computation (AAAC2010)  2010 

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  • Algorithms for Domino Portrait Generation

    The 3rd Annual Meeting of the Asian Association for Algorithms and Computation  2010 

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  • 木における消防士問題に対する近似アルゴリズムの改良

    電子情報通信学会コンピュテーション研究会  2010 

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  • An Approximation Algorithm for the Unconstrained Traveling Tournament Problem

    he International Series of Conferences on the Practice and Theory of Automated Timetabling (PATAT2010)  2010 

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  • Randomized Approximation Scheme for Estimating Critical Path Length of Stochastic PERT Network

    The 8th International Conference on Optimization: Techniques and Apptications (ICOTA8)  2010 

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  • 完全選好リストを持つ安定結婚問題における戦略的行動について

    2009冬のLAシンポジウム  2010 

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  • ゲームとルールを決める数学

    第9回日本情報オリンピック春季トレーニング合宿(IOI代表選考会)  2010 

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  • 完全選好リストを持つ安定結婚問題における戦略的行動について

    GODIVA (Geographical Data and Information --Visualization and Analysis--)地理情報の解析と視覚化  2010 

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  • Caluculating Power Indices of Weighted Majority Games

    Combinatorial and Global Optimization  1998 

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  • 重み付き多数決ゲームでの投票力指数計算のNP完全性

    日本OR学会大会予稿集,日本OR学会  1998 

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  • 投票ゲームにおける投票力指数の計算について

    情報処理学会アルゴリズム研究部会シンポジウム  1998 

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  • 重み付き多数決ゲームにおける投票力指数の計算について

    日本OR学会数理計画法特設研究部会  1998 

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  • チャンネル割当問題の解法

    数理モデル化と問題解決研究会予稿集,情報処理学会  1998 

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  • A note on the nucleolus of assignment games

    International Conference on Nonlinear Analysis and Convex Analysis (NACA98)  1998 

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  • Complexity results for calculating power indices of weighted majority games

    International Conference on Nonlinear Analysis and Convex Analysis (NACA98)  1998 

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  • A note on mixed level super saturated designs

    1998 

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  • An Approximation Algorithm for Independent Set Problems on Unit Disk Graphs

    Japan Conference on Discrete and Computational Geometry '98  1998 

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  • Optimality of mixed level supersaturated designs

    Taipei International Statietical Symposium  1998 

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  • ネットワーク最適化入門

    現代政治経済研究所(永田部会)研究会  1999 

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  • スポーツのスケジューリング

    平成11年度特定領域研究(B)「アルゴリズム工学」A02班第2回会議  1999 

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  • 重み付き多数決ゲームにおける投票力指数の計算について

    筑波大学社会工学系ファカルティセミナー  1999 

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  • Repairing a Flaw in Contour Maps

    Third KOREA-JAPAN Joint Workshop on Algorithms and Computation  1999 

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  • Complexity results for calculating power indices of weighted majority games

    International Conference on Nonlinear Analysis and Convex Analysis (NACA98)  1998 

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  • Optimality of mixed level supersaturated designs

    The 4th ICSA International Statistical Conference  1998 

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  • Caluculating Power Indices of Weighted Majority Games

    Combinatorial and Global Optimization  1998 

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  • A note on the nucleolus of assignment games

    International Conference on Nonlinear Analysis and Convex Analysis (NACA98)  1998 

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  • An Approximation Algorithm for Independent Set Problems on Unit Disk Graphs

    アルゴリズム研究会予稿集,情報処理学会  1999 

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  • スポーツのスケジューリング

    文教大学情報学部経営情報学科  1999 

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  • Algorithms for Channel Assignment Problem

    17th International Symposium on Mathematical Programming (ISMP)  2000 

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  • A Note on Asymmetric Power Index for Voting Games

    2000 

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  • Approximation Algorithms for Maximum Independent Set Problems on Unit Disk Graphs

    17th International Symposium on Mathematical Programming (ISMP)  2000 

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  • Integer Programming Based Algorithms for Peg Solitaire Problems

    2nd International Conference on Computers and Games (CG2000)  2000 

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  • スポーツのスケジューリング

    平成11年度特定領域研究(B)「アルゴリズム工学」全体会議  2000 

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  • Digital Halftoning: Formulation as a Combinatorial Optimization Problem and Approximation Algorithms Based on Network Flow

    Workshop on Algorithm Engineering as a New Paradigm  2000 

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  • Integer Programming Based Algorithms for Peg Solitaire Problems

    Workshop on Algorithm Engineering as a New Paradigm  2000 

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  • On the Complexity of the Optimal Rounding Problems

    7th Scandinavian Workshop on Algorithm Theory (SWAT)  2000 

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  • Algorithm for Channel Assignment Problem

    The Institute for Operations Research and the Management Sciences -- The Korean Operationas Research and Management Science Society (INFORMS-KORMS)  2000 

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  • A Minimum Taxrate Core Allocation of Bin Packing Game

    First World Congress of the Game Theory Society (GAMES 2000)  2000 

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  • .935-Approximation Algorithm for MAX 2SAT and Its Derandomization

    第81回アルゴリズム研究会  2001 

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  • 複数財オークションについて

    マルチエージェントと協調計算ワークショップ論文集,日本ソフトウェア科学会  2001 

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  • Finding Common Weight Vector of DEA Based on Bargaining Game

    東京工業大学VALDESゲーム理論セミナー  2001 

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  • Random generation of B^m X J contingency tables

    International Conference on Statistics,  2001 

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  • 複数財オークションについて

    MACC2001(特別セッション:ゲーム理論/意思決定/経済学的アプローチに基づくマルチエージェント)  2001 

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  • 複数財オークションの最近の話題とリソースプランニングへの応用可能性

    OR学会統合オペレーションG3研究会  2001 

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  • A Minimum Taxrate Core Allocation of Bin Packing Game

    First World Congress of the Game Theory Society (GAMES 2000)  2000 

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  • On the Complexity of the Optimal Rounding Problems

    7th Scandinavian Workshop on Algorithm Theory (SWAT)  2000 

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  • Multi-object Auctions with Necessary Bundles

    筑波大学セミナー  2001 

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  • Algorithm for Channel Assignment Problem

    The Institute for Operations Research and the Management Sciences -- The Korean Operationas Research and Management Science Society (INFORMS-KORMS)  2000 

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  • An Approximation Algorithm for Independent Set Problems on Unit Disk Graphs

    1999 

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  • Repairing a Flaw in Contour Maps

    Third KOREA-JAPAN Joint Workshop on Algorithms and Computation  1999 

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  • スポーツスケジューリング問題

    スケジューリングシンポジウム予稿集,スケジューリング学会  2000 

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  • A Positive Semidefinite Relaxation of Linear Ordering Problems

    The 1st Japanese-Hungarian Symposium on Discrete mathematics and Its Applications  1999 

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  • A Positive Semidefinite Relaxation of Linear Ordering Problems

    The 1st Japanese-Hungarian Symposium on Discrete mathematics and Its Applications  1999 

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  • Deegan-Packel 指数の特性

    日本OR学会大会予稿集,日本OR学会  1999 

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  • スポーツスケジューリング問題 -- 1993年Jリーグを再スケジュールする --

    研究集会「最適化:モデリングとアルゴリズム」  1999 

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  • Deegan-Packel 指数の特性

    日本OR学会  1999 

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  • An Approximation Algorithm for Independent Set Problems on Unit Disk Graphs

    日本OR学会大会予稿集,日本OR学会  1999 

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  • Integer Programming Based Algorithms for Peg Solitaire Problems

    2nd International Conference on Computers and Games (CG2000)  2000 

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  • Farkas の補題と双対定理の初等的証明

    日本オペレーションズ・リサーチ学会  2000 

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  • グラフ理論と最適化理論の交流は21世紀に何を創造できるか?

    情報学シンポジウム グラフ理論と最適化  2000 

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  • Approximation Algorithms for Maximum Independent Set Problems on Unit Disk Graphs

    17th International Symposium on Mathematical Programming (ISMP)  2000 

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  • Algorithms for Channel Assignment Problem

    17th International Symposium on Mathematical Programming (ISMP)  2000 

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  • A Note on Asymmetric Power Index for Voting Games

    日本OR学会大会予稿集,日本OR学会  2000 

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  • Farkas の補題と双対定理の初等的証明

    日本OR学会大会予稿集,日本OR学会  2000 

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  • ホームページ「最適化ソフトウェアとテスト問題集」

    日本OR学会大会予稿集,日本OR学会  2000 

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  • 最長片道切符の厳密解を求める

    日本OR学会大会予稿集,日本OR学会  2000 

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  • Digital Halftoning: Formulation as a Combinatorial Optimization Problem and Approximation Algorithms Based on Network Flow

    Workshop on Algorithm Engineering as a New Paradigm  2000 

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  • Integer Programming Based Algorithms for Peg Solitaire Problems

    Workshop on Algorithm Engineering as a New Paradigm  2000 

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  • Note on Equitable Round-Robin Tournaments

    2001 

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  • Sealed Bid Multi-object Auctions with Necessary Bundles and Its Application to Spectrum Auctions

    2001 

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  • 0.863 Approximation Algorithm for MAX DICUT

    4th International Workshop on Approximation Algorithms for Combinatorial Optimization Problems  2001 

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  • Finding Common Weight Vector of DEA Based on Bargaining Game

    2001 

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  • Random generation of B^m X J contingency tables

    2001 

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  • Linear Relaxation for Hub Network Design Problems

    2001 

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  • .935-Approximation Algorithm for MAX 2SAT and Its Derandomization

    2001 

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  • 投票ゲームに対する非対称投票力指数の提案

    日本OR学会組合せ最適化研究部会(COOR)平成12年度第4回  2001 

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  • Multi-object Auctions with Necessary Bundles

    2001 

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  • MAX DICUT 問題の近似解法

    研究集会: 計算理論とアルゴリズムの新展開(LAシンポジウム)  2001 

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  • A home-away table feasibility problem

    The Second Japanese-Sino Optimization Meeting (JSOM 2002)  2002 

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  • Path coupling法を用いた多元分割表生成のためのマルコフ連鎖設計

    2002年日本統計学会秋季大会(明星大学)  2002 

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  • Multi-item auctions with necessary bundles

    2001 

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  • Linear Relaxation for Hub Location Problems

    2001 

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  • m×n分割表の近似数え上げスキームの提案

    日本計算機統計学会第16回シンポジウム予稿集,日本計算機統計学会  2002 

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  • Approximate counting scheme for m x n contingency tables

    The Japan Conference on Discrete and Computational Geometry/JCDCG 02  2002 

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  • A Note on the Nonsymmetric Banzhaf Indices for Voting Games

    Abstracts of Nonlinear and Analysis and Convex Analysis (NACA) 2001  2001 

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  • A Note on Asymmetric Power Index for Voting Games

    Abstracts of Nonlinear and Analysis and Convex Analysis (NACA) 2001  2001 

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  • How Much Can We Optimize Digital Halftoning Algorithmically?

    2001 

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  • Digital Halftoning: Its Computational Complexity and Approximation Algorithms Based on Network Flow

    Proceedings of the 6th KOREA-JAPAN Joint Workshop on Algorithms and Computation  2001 

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  • 0.863 Approximation Algorithm for MAX DICUT

    4th International Workshop on Approximation Algorithms for Combinatorial Optimization Problems  2001 

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  • 必要不可欠財オークションによる複数財の資源配分

    日本OR学会大会予稿集,日本OR学会  2001 

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  • Finding Common Weight Vector of DEA Based on Bargaining Game

    日本OR学会大会予稿集,日本OR学会  2001 

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  • Note on Equitable Round-Robin Tournaments

    日本OR学会大会予稿集,日本OR学会  2001 

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  • Sealed Bid Multi-object Auctions with Necessary Bundles and Its Application to Spectrum Auctions

    日本OR学会大会予稿集,日本OR学会  2001 

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  • Multi-object Auctions with Necessary Bundles

    第7回ディセントラライゼーション・コンファレンス  2001 

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  • Random generation of B^m X J contingency tables

    科研費シンポジウム  2001 

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  • Linear Relaxation for Hub Network Design Problems

    日本OR学会大会予稿集,日本OR学会  2001 

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  • Multi-object Auctions with Necessary Bundles

    東京工業大学VALDESゲーム理論セミナー  2001 

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  • スポーツのスケジューリング

    公開シンポジウム「アルゴリズム工学」  2001 

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  • Multi-item auctions with necessary bundles

    早稲田大学政経学部セミナー(現政研(船木部会)研究会)  2001 

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  • Linear Relaxation for Hub Location Problems

    Proceedings of the 6th KOREA-JAPAN Joint Workshop on Algorithms and Computation  2001 

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  • MAX DICUT 問題の近似解法

    科研費・特定領域研究(B)「アルゴリズム工学」 第7回テーマ研究会:グラフアルゴリズム  2001 

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  • Multi-item auctions with necessary bundles

    都立大学経済学部セミナー  2001 

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  • Digital Halftoning: Its Computational Complexity and Approximation Algorithms Based on Network Flow

    Proceedings of the 6th KOREA-JAPAN Joint Workshop on Algorithms and Computation  2001 

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  • A Note on the Nonsymmetric Banzhaf Indices for Voting Games

    Abstracts of Nonlinear and Analysis and Convex Analysis (NACA) 2001  2001 

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  • How Much Can We Optimize Digital Halftoning Algorithmically?

    電子情報通信学会  2001 

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  • Note on Equitable Round-Robin Tournaments

    Proceedings of the 6th KOREA-JAPAN Joint Workshop on Algorithms and Computation  2001 

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  • A Note on Asymmetric Power Index for Voting Games

    Abstracts of Nonlinear and Analysis and Convex Analysis (NACA) 2001  2001 

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  • Sealed Bid Multi-object Auctions with Necessary Bundles and Its Application to Spectrum Auctions

    4th Pacific Rim International Workshop on Multi-Agents  2001 

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  • Elementary inductive proofs for linear programming

    研究集会:計画数学とその関連分野  1988 

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  • 資源配分を考慮したプロジェクト・ネットワーク問題

    日本OR学会大会予稿集,日本OR学会  1985 

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  • The monotone Hirsch conjecture for matching polytopes

    日本オペレーションズ・リサーチ学会  1988 

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  • 枝の故障を考慮したフロー問題

    日本OR学会大会予稿集,日本OR学会  1987 

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  • A root-relaxation algorithm for the minimum-cost perfect matching problems

    International Symposium on Mathematical Programming  1988 

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  • The monotone Hirsch conjecture for matching polytopes

    日本OR学会大会予稿集,日本OR学会  1988 

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  • Finding all minimum cost perfect matchings in bipartite graphs

    CO89 Symposium on Combinatorial Optimization  1989 

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  • Finding all minimum cost perfect matchings in bipartite graphs

    12th British Combinatorial Conference  1989 

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  • Finding all minimum cost perfect matchings in bipartite graphs

    日本OR学会大会予稿集,日本OR学会  1989 

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  • Finding all minimum cost perfect matchings in bipartite graphs

    日本オペレーションズ・リサーチ学会  1989 

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  • The monotone Hirsch conjecture for matching polytopes

    1988 

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  • ある種の順序制約付きTSPと多項式時間オーダー解法について

    日本OR学会大会予稿集,日本OR学会  1988 

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  • A root-relaxation algorithm for the minimum-cost perfect matching problems

    International Symposium on Mathematical Programming  1988 

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  • Elementary inductive proofs for linear programming

    1988 

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  • Hiding an Image into Different Images

    International Conference on OPERATIONS RESEARCH (Zurich 2011)  2011 

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  • Inverse assignment problem for timetabling in tutoring school

    Symposium on Scheduling 2011 (ISS2011)  2011 

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  • Minimum Cost Home-Away Assignment of Double Round-robin Tournament

    International Conference on OPERATIONS RESEARCH (Zurich 2011)  2011 

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  • CFTPを用いた厳密サンプリング

    研究集会「スケールフリーネットワークとランダムグラフ」  2007 

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  • K-best bases of a weighted matroid

    1996 

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  • Finding all maximal common indenpendent sets of matroids

    KOREA-JAPAN Joint Workshop on Algorithms and Computation  1996 

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  • K-best bases of a weighted matroid

    アルゴリズム研究会予稿集,情報処理学会  1996 

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  • Finding all bases of matroids

    最適化:モデリングとアルゴリズム  1996 

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  • 無向グラフにおける全張木の高速列挙解法

    日本OR学会大会予稿集,日本OR学会  1993 

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  • 多施設巡回路決定問題について

    日本OR学会大会予稿集,日本OR学会  1993 

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  • 平面グラフ上の最小木問題の線形時間解法

    日本OR学会大会予稿集,日本OR学会  1993 

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  • "Polynomial Time Perfect Sampler for Closed Jackson Networks with Single Servers,"""

    The 5th International Symposium on Operations Research and Its Applications (ISORA2005)  2005 

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  • 最小ノルム点と問題とその周辺

    第5回RAMPシンポジウム  1993 

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  • Sampling from Logarithmic Separable Concave Distribution on Simplex

    日本オペレーションズリサーチ学会2005年秋季研究発表会  2005 

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  • An algorithm for finding all spanning trees in undirected graphs

    6th Franco-Japanese Days  1993 

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  • Sampling from multivariate discrete distribution on a simplex -- Markov chain approach --

    Randomness and Computation (RC2005)  2005 

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  • 2部グラフの辺彩色の列挙

    日本OR学会大会予稿集,日本OR学会  1993 

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  • SDP Approximations for a HAT Optimization in Sports Scheduling

    IFORS 2005 (The International Federation of Operational Research Societies)  2005 

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  • On the criss-cross method for linear complementarity problems

    1992 

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  • Approximate/perfect samplers for closed Jackson networks

    2005 Winter Simulation Conference (WSC '05)  2005 

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  • An algorithm for fractional assignment problems

    5th Franco-Japanese Days on Combinatorial Optimization  1992 

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  • The Break Minimization Problem

    2004 

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  • A linear time algorithm for a Hitchcock transportation problem with a fixed number of supply points

    1992 

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  • "閉ジャクソンネットワークに対する多項式時間近似スキームと完璧サンプリング法,"

    日本オペレーションズリサーチ学会 待行列研究部会  2005 

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  • The Kth best Chinese postman problem

    1992 

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  • Efficient Algorithms for the Electric Power Transaction Problem

    Internet and Network Economics: First International Workshop, WINE 2005  2005 

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  • Linear Time Approximation Algorithm for Multicoloring Lattice Graphs with Diagonals

    2004 

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  • The break minimization problem is solvable in polynomial time when the optimal value is less than the number of teams

    The 5th International Conference on the Practice and Theory of Automated Timetabling  2004 

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  • 非巡回的有向グラフ上のs-tパスの列挙

    日本OR学会大会予稿集,日本OR学会  1995 

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  • 全張木の重さの軽い順の列挙

    研究集会:最適化の数理における離散と連続構造  1995 

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  • Perfectness and Imperfectness of Unit Disk Graphs on Triangular Lattice Points

    2004年度冬のLAシンポジウム  2005 

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  • An algorithm for finding all the edge coloring in bipartite graphs

    Asia Pacific Operational Research (APORS94)  1994 

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  • リーグ戦の最適会場割当問題に対するSDP緩和を用いた手法

    研究集会「最適化:モデリングとアルゴリズム」  2005 

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  • 制御不能流判定問題のNP-完全性について

    日本OR学会大会予稿集,日本OR学会  1995 

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  • 非巡回的有向グラフ上のs-tパスの列挙

    日本オペレーションズ・リサーチ学会  1995 

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  • Multicoloring Unit Disk Graphs on Triangular Lattice Points

    Proceedings of the Sixteenth Annual ACM-SIAM Symposium on Discrete Algorithms (SODA05)  2005 

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  • 0-1多面体における端点の隣接性判定問題について

    日本OR学会大会予稿集,日本OR学会  1994 

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  • Numerical Experiences with SDP Approximations for an Optimal Home-Away-Table Problem

    SIAM 2005 Optimization Conference  2005 

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  • An algorithm for finding all spanning trees in undirected graphs

    6th Franco-Japanese Days  1993 

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  • Semidefinite Programming Approximation for Combinatorial Optimization and Sports Management

    SIAM 2005 Optimization Conference  2005 

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  • 0-1多面体における端点の隣接性

    離散システム研究部会  1994 

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  • リーグ戦の最適会場割当問題に対するSDP緩和を用いた手法

    日本オペレーションズリサーチ学会2005年春季研究発表会  2005 

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  • An algorithm for finding all the edge coloring in bipartite graphs

    Asia Pacific Operational Research (APORS94)  1994 

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  • 電力取り引きにおける約定量決定問題の高速解法

    情報処理学会第101回アルゴリズム研究会  2005 

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  • CFTP を用いた Perfect Sampling

    Randomness and Computation (RC2005)  2005 

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  • 最小ノルム点と問題とその周辺(招待講演)

    RAMPシンポジウム予稿集,日本OR学会  1993 

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  • Rapidly Mixing Chain and Perfect Sampler for Logarithmic Separable Concave Distributions on Simplex

    2005 International Conference on the Analysis of Algorithms  2005 

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  • CFTP を用いた Perfect Sampling (チュートリアル講演)

    Randomness and Computation, Lecture Notes in Tutorial Sessions,RC2005  2005 

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  • On the finiteness of the criss-cross method

    International Symposium on Mathematical Programming, Lausanne  1997 

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  • Finding the Nucleolus of Assignment Games

    1997 

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  • Fractional programming and valuated matroids

    Parametric Optimization and Related Topics V  1997 

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  • Finding the Nucleolus of Assignment Games

    International Conference on Applied Analysis and Optimization  1997 

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  • Caluculating the Shapley-Shubik Power Index of weighted voting game is NP-hard

    Combinatorial Optimization Workshop  1997 

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  • Channel assignment problems

    Combinatorial Optimization Workshop, Makuhari  1997 

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  • Finding the Nucleolus of Assignment Games

    日本OR学会大会予稿集,日本OR学会  1997 

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  • Caluculating the Shapley-Shubik Power Index of weighted voting game is NP-hard

    Combinatorial Optimization Workshop  1997 

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  • An algorithm for generating all the bases of equality systems

    Tomomi Matsui, International Symposium on Mathematical Programming  1997 

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  • On the finiteness of the criss-cross method

    International Symposium on Mathematical Programming, Lausanne  1997 

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  • An algorithm for generating all the bases of equality systems

    Tomomi Matsui, International Symposium on Mathematical Programming  1997 

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  • Optimality of mixed level supersaturated designs

    The 4th ICSA International Statistical Conference  1998 

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  • 重み付き多数決ゲームにおける投票力指数の計算について

    東京工業大学社会理工学研究科価値システム専攻セミナー  1998 

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  • 重み付き多数決ゲームにおける投票力指数の計算について(招待講演)

    RAMPシンポジウム予稿集,日本OR学会  1998 

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  • Optimality of mixed level supersaturated designs

    Taipei International Statietical Symposium  1998 

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  • 重み付き多数決ゲームにおける投票力指数の計算について

    第10回RAMPシンポジウム  1998 

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  • An Approximation Algorithm for Independent Set Problems on Unit Disk Graphs

    Japan Conference on Discrete and Computational Geometry '98  1998 

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  • MAX CUT の近似解法

    「数理モデルとその応用」ワークショップ  1998 

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  • 組合せ最適化の応用(組合せ最適化問題の近似解法)

    統計数理研究所公開講座(数理計画法)  1998 

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  • A note on mixed level super saturated designs

    日本OR学会大会予稿集,日本OR学会  1998 

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  • 閉ジャクソンネットワークに対する多項式時間近似解法

    待ち行列シンポジウム予稿集,日本OR学会  2005 

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  • Sampling from Logarithmic Separable Concave Distribution on Simplex

    2005 

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  • Efficient Algorithms for the Electric Power Transaction Problem

    Internet and Network Economics: First International Workshop, WINE 2005  2005 

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  • Approximate/perfect samplers for closed Jackson networks

    2005 Winter Simulation Conference (WSC '05)  2005 

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  • Polynomial Time Perfect Sampler for Discretized Dirichlet Distribution

    International Workshop on the Grammar of Technology Development Proceedings/IWGTD 05  2005 

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  • Rapidly Mixing Chain and Perfect Sampler for Logarithmic Separable Concave Distributions on Simplex

    2005 International Conference on the Analysis of Algorithms  2005 

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  • Sampling from multivariate discrete distribution on a simplex -- Markov chain approach --

    Randomness and Computation (RC2005)  2005 

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  • SDP Approximations for a HAT Optimization in Sports Scheduling

    IFORS 2005 (The International Federation of Operational Research Societies)  2005 

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  • "Polynomial Time Perfect Sampler for Closed Jackson Networks with Single Servers,"""

    The 5th International Symposium on Operations Research and Its Applications (ISORA2005)  2005 

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  • Semidefinite Programming Approximation for Combinatorial Optimization and Sports Management

    SIAM 2005 Optimization Conference  2005 

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  • Perfect Sampler for Closed Jackson Networks

    Mittagsseminar  2006 

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  • Approximation algorithms for minimum span channel assignment problems

    Proceedings of the 2nd International Conference on Algorithmic Aspects in Information and Management  2006 

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  • Minimizing Carry-Over Effects in a Round-Robin Tournament

    INFORMS International Hong Kong 2006 meeting  2006 

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  • The Traveling Tournament Problem with a Constant Distance Matrix

    INFORMS International Hong Kong 2006 meeting  2006 

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  • スポーツのスケジューリングにおける会場割当問題

    電子情報通信学会 2006年総合大会  2006 

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  • 閉ジャクソンネットワークに対するMCMC法

    電子情報通信学会 2006年総合大会  2006 

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  • スポーツスケジューリング:トーナメント表作成問題における組合せ論

    日本数学会  2006 

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  • 対戦日程計画におけるCarry-Over Effect最小化問題

    日本オペレーションズリサーチ学会2006年春季研究発表会  2006 

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  • Approximation Algorithms for the Single Allocation Problem in Hub-and-Spoke Networks

    Optimal Discrete Structures and Algorithms  2006 

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  • Combinatorial Optimization in Sports Scheduling

    Asian Association for Sports Management  2006 

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  • Randomized Approximation Algorithm for a Geometrical Multidimensional Assignment Problem

    Optimal Discrete Structures and Algorithms  2006 

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  • Constructive algorithms for the constant distance traveling tournament problem

    The 6th international conference on the Practice And Theory of Automated Timetabling (PATAT 2006)  2006 

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  • Minimizing the carry-over effects value in a round-robin tournament

    The 6th international conference on the Practice And Theory of Automated Timetabling (PATAT 2006)  2006 

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  • Random Sampling via Markov Chain

    The International Workshop on Data-Mining and Statistical Science (DMSS2006)  2006 

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  • Approximation Algorithm for Multidimensional Assignment Problem Arising from Data Association Problem

    2006 

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  • Minimizing Carry-Over Effects in a Round-Robin Tournament

    INFORMS International Hong Kong 2006 meeting  2006 

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  • The Traveling Tournament Problem with a Constant Distance Matrix

    INFORMS International Hong Kong 2006 meeting  2006 

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  • Home-away Assignment Problems in Sports Scheduling

    INFORMS International Hong Kong 2006 meeting  2006 

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  • Randomized approximation scheme and perfect sampler for closed Jackson networks

    Second Madrid Conference on Queueing Theory  2006 

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  • Approximation algorithms for minimum span channel assignment problems

    Proceedings of the 2nd International Conference on Algorithmic Aspects in Information and Management  2006 

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  • Perfectness and Imperfectness of Unit Disk Graphs on Triangular Lattice Points

    2005 

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  • Numerical Experiences with SDP Approximations for an Optimal Home-Away-Table Problem

    Ayami Suzuka, Ryuhei Miyashiro, Akiko Yoshise  2005 

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  • フルートの運指のモデル化とその最適化に関する研究

    第68回音楽情報科学研究会  2006 

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  • 燃料消費削減のための航空路線設計

    ミニシンポジウム「新世代計算限界と地球環境問題」  2006 

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  • Polynomial Time Perfect Sampler for Discretized Dirichlet Distribution

    International Workshop on the Grammar of Technology Development Proceedings/IWGTD 05  2005 

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  • Multicoloring Unit Disk Graphs on Triangular Lattice Points

    Proceedings of the Sixteenth Annual ACM-SIAM Symposium on Discrete Algorithms (SODA05)  2005 

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  • Randomized Approximation Algorithm for a Geometrical Multidimensional Assignment Problem

    Optimal Discrete Structures and Algorithms  2006 

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  • Approximation Algorithms for the Single Allocation Problem in Hub-and-Spoke Networks

    Optimal Discrete Structures and Algorithms  2006 

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  • Combinatorial Optimization in Sports Scheduling

    Asian Association for Sports Management  2006 

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  • 多変量離散分布とマルコフ連鎖モンテカルロ法

    日本計算機統計学会  2006 

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  • Approximation Algorithm for Multidimensional Assignment Problem Arising from Data Association Problem

    日本オペレーションズリサーチ学会2006年秋季研究発表会  2006 

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  • フルートの運指のモデル化とその最適化に関する研究

    日本オペレーションズリサーチ学会2006年秋季研究発表会  2006 

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  • ハブ空港配置問題の近似解法

    日本オペレーションズリサーチ学会2006年秋季研究発表会  2006 

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  • Constructive algorithms for the constant distance traveling tournament problem

    The 6th international conference on the Practice And Theory of Automated Timetabling (PATAT 2006)  2006 

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  • Minimizing the carry-over effects value in a round-robin tournament

    The 6th international conference on the Practice And Theory of Automated Timetabling (PATAT 2006)  2006 

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  • Random Sampling via Markov Chain

    The International Workshop on Data-Mining and Statistical Science (DMSS2006)  2006 

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  • Approximation Algorithm for Multidimensional Assignment Problem Arising from Data Association Problem

    情報処理学会 アルゴリズム研究会 108 回  2006 

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  • Home-away Assignment Problems in Sports Scheduling

    INFORMS International Hong Kong 2006 meeting  2006 

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  • Randomized approximation scheme and perfect sampler for closed Jackson networks

    Second Madrid Conference on Queueing Theory  2006 

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  • スポーツスケジューリングの近年の展開

    「日本スポーツ産業学会 第15回大会号 --- スポーツのブランディングを考える ---」  2006 

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  • An Improved Approximation Algorithm for the Traveling Tournament Problem

    The 20th International Symposium on Algorithms and Computation (ISAAC 2009),  2009 

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  • Approximation Algorithm for Multi-Dimensional Assignment Problem Arising from Multitarget Tracking

    44th Annual ORSNZ Conference,  2009 

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  • Approximation Algorithm for Firefighter Problem on Trees

    44th Annual ORSNZ Conference  2009 

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  • On a Strategic Issue in Gale-Shapley Algorithm

    The First AAAC Annual Meeting (Asian Association for Algorithms and Computation)  2008 

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  • Bridge It と Connection の必勝法について

    組合せゲーム・パズル ミニプロジェクト  2009 

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  • 安定結婚問題における虚偽表明の可能性判定問題について

    日本OR学会 《ゲーム理論と市場設計》 研究部会  2009 

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  • Cheating Strategies for Gale-Shapley Algorithm

    第125回アルゴリズム研究会  2009 

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  • An Improved Approximation Algorithm for the Traveling Tournament Problem

    Proceedings of 12th Korea-Japan Joint Workshop on Algorithms and Computation (WAAC2009)  2009 

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  • Approximation Algorithm for Firefighter Problem on Trees

    44th Annual ORSNZ Conference  2009 

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  • Cheating Strategies for Gale-Shapley Algorithm with Complete Preference Lists

    日本オペレーションズリサーチ学会2009年春季研究発表会  2009 

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  • Approximation Algorithm for Multi-Dimensional Assignment Problem Arising from Multitarget Tracking

    44th Annual ORSNZ Conference,  2009 

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  • Cheating Strategies for Gale-Shapley Algorithm

    2009 

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  • An Improved Approximation Algorithm for the Traveling Tournament Problem

    Proceedings of 12th Korea-Japan Joint Workshop on Algorithms and Computation (WAAC2009)  2009 

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  • An Improved Approximation Algorithm for the Traveling Tournament Problem

    Proceedings of 12th Korea-Japan Joint Workshop on Algorithms and Computation (WAAC2009),  2009 

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  • An Improved Approximation Algorithm for the Traveling Tournament Problem

    The 20th International Symposium on Algorithms and Computation (ISAAC 2009),  2009 

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  • Computational Experiments of Perfect Sampling Algorithms for Two-way Contingency Tables

    International Conference on OPERATIONS RESEARCH (MUNICH 2010)  2010 

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  • Algorithmic Aspects of Equilibria of Stable Marriage Model with Complete Preference Lists

    International Conference on OPERATIONS RESEARCH (MUNICH 2010)  2010 

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  • Randomized Approximation Scheme for Estimating Critical Path Length of Stochastic PERT Network

    The 8th International Conference on Optimization: Techniques and Apptications (ICOTA8)  2010 

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  • Cheating Strategies for Gale-Shapley Algorithm with Complete Preference Lists

    2009 

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  • Linear Relaxation Method for Domino Portrait Generation

    International Conference on OPERATIONS RESEARCH (MUNICH 2010)  2010 

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  • ここまで解ける整数計画

    FIT2007 第6回情報科学技術フォーラム  2007 

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  • Perfect Sampler for Closed Jackson Networks

    Mittagsseminar  2006 

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  • スポーツスケジューリングにおける近年の展開

    大阪府立大学 第1回 情報数理談話会  2007 

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  • On Rank Aggregation of Multiple Orderings in Network Design

    International Network Optimization Conference (INOC)  2007 

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  • Approximation algorithm for multidimensional assignment problem minimizing the sum of squared errors

    Workshop on Advances in Optimization  2007 

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  • Minimizing Carry-Over Effects Value in a Round-Robin Tournament

    22nd European Conference on Operational Research  2007 

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  • Finding the Nucleolus of Assignment Games

    International Conference on Applied Analysis and Optimization  1997 

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  • Perfect Sampling Algorithm for Two-rowed Contingency Tables

    18th International Symposium on Mathematical Programming (ISMP2003)  2003 

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  • Computing the Similarity of two Melodies

    15th Canadian Conference on Computational Geometry (CCCG2003)  2003 

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  • A polyhedral approach to hub location problems

    18th International Symposium on Mathematical Programming (ISMP2003)  2003 

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  • Characterizing feasible pattern sets with a minimum number of breaks

    18th International Symposium on Mathematical Programming (ISMP2003)  2003 

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  • 2xn分割表の多項式時間 perfect sampling

    統計関連学会連合大会,統計関連学会連合  2003 

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  • Polynomial Time Approximate Sampler for Discretized Dirichlet Distribution

    14th International Symposium  2003 

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  • A cutting plane approach to hub network design problems

    日本OR学会大会予稿集,日本OR学会  2003 

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  • Home-Away table feasibility Problem

    日本オペレーションズリサーチ学会2003年秋季研究発表会,日本OR学会  2003 

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  • Polyhedral Approach to the Hub Network Design Problem

    Japan-Korea Joint Workshop on Algorithms and Computation (WAAC03)  2003 

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  • A Rapidly Mixing Approximate Sampler of Dirichlet Distribution

    Japan-Korea Joint Workshop on Algorithms and Computation (WAAC03)  2003 

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  • オークションの設計理論と数理計画(招待講演)

    日本OR学会第49回シンポジウム,日本OR学会  2003 

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  • Dirichlet 分布の rapidly mixing approximate sampler

    アルゴリズム研究会予稿集,情報処理学会  2003 

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  • mxn分割表の近似数え上げスキームの提案

    日本OR学会大会予稿集,日本OR学会  2003 

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  • 2xn分割表の perfect sampling

    本オペレーションズリサーチ学会2003年春季研究発表会, 慶應義塾大学理工学部(矢上キャンパス)  2003 

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  • Dirichlet 分布の rapidly mixing approximate sampler

    情報処理学会アルゴリズム研究部会  2003 

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  • Integer Programming Based Algorithms for Peg Solitaire Problems

    McGill Seminar on Algorithms  2003 

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  • 2次0-1整数計画問題に対する多面体的アプローチ -ハブネットワークデザイン問題の解法の提案-

    研究集会「最適化:モデリングとアルゴリズム」  2003 

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  • オークションの設計理論と数理計画

    日本オペレーションズリサーチ学会  2003 

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  • Sampling Algorithm for Two-rowed Contingency Tables'

    Japan-Korea Joint Workshop on Algorithms and Computation (WAAC03)  2003 

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  • Dirichlet 分布に従う多項式時間近似サンプリング法

    日本オペレーションズリサーチ学会2003年春季研究発表会  2003 

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  • MCMC法による2×n分割表数え上げ

    日本計算機統計学会第16回大会  2002 

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  • Approximation algorithm for generating $B^m \times J$ contingency tables

    第9回KIDS(京都大学数理解析研究所)  2002 

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  • MAX-2SAT問題の近似解法の実装

    研究集会「最適化:モデリングとアルゴリズム」  2002 

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  • Random generation of $B^m \times J$ contingency tables

    第一回西東京統計研究会  2002 

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  • Characterizing Feasible Pattern Sets with a Minimum Number of Breaks

    Proceedings of the 4th International Conference on the Practice and Theory of Automated Timetabling (PATAT2002)  2002 

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  • Path coupling法を用いた多元分割表生成のためのマルコフ連鎖設計

    日本統計学会秋季大会予稿集,日本統計学会  2002 

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  • Approximation algorithm for generating $B^m \times J$ contingency tables

    研究集会「最適化:モデリングとアルゴリズム」  2002 

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  • MCMC法による2×n分割表個数数え上げ

    研究集会「最適化:モデリングとアルゴリズム」  2002 

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  • Approximation algorithm for generating Bm×J contingency tables

    日本OR学会大会予稿集,日本OR学会  2002 

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  • Random generation of Bm×J contingency tables

    西東京統計研究会予稿集,西東京統計研究会  2002 

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  • Characterizing Feasible Pattern Sets with a Minimum Number of Breaks

    Proceedings of the 4th International Conference on the Practice and Theory of Automated Timetabling (PATAT2002)  2002 

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  • A home-away table feasibility problem

    The Second Japanese-Sino Optimization Meeting (JSOM 2002)  2002 

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  • Random generation of $B^m \times J$ contingency tables

    2002 

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  • Approximation algorithm for generating $B^m \times J$ contingency tables

    2002 

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  • MCMC法による2×n分割表数え上げ

    日本計算機統計学会大会予稿集,日本計算機統計学会  2002 

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  • Approximate counting scheme for m x n contingency tables

    The Japan Conference on Discrete and Computational Geometry/JCDCG 02  2002 

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  • Derandomization of Hyperplane Separation Technique with Skewed Distribution Function for MAX 2SAT and MAX DICUT

    冬のLAシンポジウム  2002 

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  • Approximation algorithm for generating Bm×J contingency tables

    2002 

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  • Random generation of Bm×J contingency tables

    2002 

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  • Derandomization of Hyperplane Separation Technique with Skewed Distribution Function for MAX 2SAT and MAX DICUT

    2002 

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  • An analysis of Dinkelbach's algorithm

    5th Franco-Japanese Days on Combinatorial Optimization  1992 

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  • Weighted Lattice Graphs with Diagonals に対するマルチカラーリングの線形時間近似解法

    日本オペレーションズリサーチ学会2004年春季研究発表会  2004 

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  • A study on adjacency of combinatorial polyhedra

    5th Franco-Japanese Days on Combinatorial Optimization  1992 

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  • ブレーク数最適化問題へのアプローチ

    研究集会「最適化:モデリングとアルゴリズム」  2004 

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  • 組合せ最適化(チュートリアル)

    日本OR学会大会予稿集,日本OR学会  1992 

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  • An algorithm for fractional assignment problems

    5th Franco-Japanese Days on Combinatorial Optimization  1992 

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  • Auction alogorithm for minimum arborescence problems

    1991 

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  • 離散化Dirichlet分布のパーフェクトサンプリング

    第94回アルゴリズム研究会  2004 

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  • A linear time algorithm for a Hitchcock transportation problem with a fixed number of supply points

    4th Franco-Japanese Days on Combinatorial Optimization  1991 

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  • 離散化 Dirichlet 分布に従うパーフェクトサンプリング

    日本計算機統計学会第大会予稿集,日本計算機統計学会  2004 

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  • The Kth best Chinese postman problem

    1991 

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  • Perfect sampling アルゴリズムの設計

    研究集会「最適化:モデリングとアルゴリズム」  2004 

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  • A linear time algorithm for a Hitchcock transportation problem with a fixed number of supply points

    1991 

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  • Linear Time Approximation Algorithm for Multicoloring Lattice Graphs with Diagonals

    研究集会「最適化:モデリングとアルゴリズム」  2004 

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  • 電力取引における約定量決定問題の高速解法

    日本OR学会大会予稿集,日本OR学会  2004 

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  • Multicoloring unit disk graphs on trianglar lattice points

    日本オペレーションズリサーチ学会2004年秋季研究発表会  2004 

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  • The Kth best Chinese postman problem

    4th Franco-Japanese Days on Combinatorial Optimization,  1991 

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  • スポーツスケジューリング問題の近年の展開

    日本OR学会関西支部『コンピュテーション研究部会』  2004 

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  • The Kth best Chinese postman problem

    日本OR学会大会予稿集,日本OR学会  1991 

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  • The break minimization problem is solvable in polynomial time when the optimal value is less than the number of teams

    The 5th International Conference on the Practice and Theory of Automated Timetabling  2004 

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  • A study on adjacency of combinatorial polyhedra

    5th Franco-Japanese Days on Combinatorial Optimization  1992 

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  • A linear time algorithm for a Hitchcock transportation problem with a fixed number of supply points

    最適化:モデルとアルゴリズム  1992 

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  • Polynomial Time Perfect Sampling Algorithm for Two-rowed Contingency Tables

    Third colloquium on mathematics and computer science  2004 

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  • An analysis of Dinkelbach's algorithm

    5th Franco-Japanese Days on Combinatorial Optimization  1992 

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  • DEAモデルに基づく下包絡分析の提案

    日本OR学会大会予稿集,日本OR学会  1992 

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  • The Break Minimization Problem

    日本OR学会大会予稿集,日本OR学会  2004 

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  • 3次元多面体の展開図について

    日本OR学会大会予稿集,日本OR学会  1992 

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  • Dirichlet 分布に従う perfect sampler

    日本OR学会大会予稿集,日本OR学会  2004 

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  • The Kth best Chinese postman problem

    最適化:モデルとアルゴリズム  1992 

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  • Multicoloring unit disk graphs on trianglar lattice points

    2004 

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  • On the criss-cross method for linear complementarity problems

    最適化:モデルとアルゴリズム  1992 

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  • Perfect sampler for closed Jackson network

    Joint Conference  2004 

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  • 分数型の目的関数を持つ割当問題の一解法

    日本OR学会大会予稿集,日本OR学会  1992 

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  • 対角線付き格子グラフに対するマルチカラーリングの線形時間近似解法

    第94回アルゴリズム研究会予稿集,情報処理学会  2004 

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  • The Break Minimization Problem

    日本オペレーションズリサーチ学会2004年春季研究発表会  2004 

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  • DEAとInverted DEAを用いたDMU活動の特異性分析

    日本OR学会大会予稿集,日本OR学会  1992 

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  • Weighted Lattice Graphs with Diagonals に対するマルチカラーリングの線形時間近似解法

    日本OR学会大会予稿集,日本OR学会  2004 

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  • 0-1分数計画に対する Dinkelbach の解法の解析

    日本OR学会大会予稿集,日本OR学会  1992 

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  • 離散化Dirichlet分布のパーフェクトサンプリング

    アルゴリズム研究会予稿集,情報処理学会  2004 

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  • Dirichlet 分布に従う perfect sampler

    日本オペレーションズリサーチ学会2004年春季研究発表会  2004 

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  • Edge covering lower bounds for Steiner subgraph problems

    日本OR学会大会予稿集,日本OR学会  1990 

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  • A polyhedral approach to hub location problems

    18th International Symposium on Mathematical Programming (ISMP2003)  2003 

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  • Parametric Simplex method for solving a special class of nonconvex minimization problems

    日本OR学会大会予稿集,日本OR学会  1990 

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  • Characterizing feasible pattern sets with a minimum number of breaks

    18th International Symposium on Mathematical Programming (ISMP2003)  2003 

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  • Algorithms for finding a Kth best valued assignments

    日本OR学会大会予稿集,日本OR学会  1990 

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  • Polyhedral Approach to the Hub Network Design Problem

    Japan-Korea Joint Workshop on Algorithms and Computation (WAAC03)  2003 

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  • Criss Cross 法の改良

    日本OR学会大会予稿集,日本OR学会  1990 

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  • A Rapidly Mixing Approximate Sampler of Dirichlet Distribution

    Japan-Korea Joint Workshop on Algorithms and Computation (WAAC03)  2003 

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  • Finding all minimum cost perfect matchings in bipartite graphs

    12th British Combinatorial Conference  1989 

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  • A cutting plane approach to hub network design problems

    2003 

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  • 2部グラフ上の最適完全マッチングを列挙するアルゴリズム

    アルゴリズム研究会予稿集,情報処理学会  1989 

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  • Home-Away table feasibility Problem

    2003 

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  • Finding all minimum cost perfect matchings in bipartite graphs

    1989 

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  • Perfect Sampling Algorithm for Two-rowed Contingency Tables

    18th International Symposium on Mathematical Programming (ISMP2003)  2003 

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  • Finding all minimum cost perfect matchings in bipartite graphs

    CO89 Symposium on Combinatorial Optimization  1989 

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  • Computing the Similarity of two Melodies

    15th Canadian Conference on Computational Geometry (CCCG2003)  2003 

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  • Polynomial Time Approximate Sampler for Discretized Dirichlet Distribution

    14th International Symposium  2003 

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  • m x n 分割表の近似数え上げスキームの提案

    冬のLAシンポジウム  2003 

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  • Parametric Simplex method for solving a special class of nonconvex minimization problems

    1990 

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  • Adjacency of the best and Second best valued solutions in combinatorial optimization problems

    日本OR学会大会予稿集,日本OR学会  1990 

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  • The Kth best Chinese postman problem

    4th Franco-Japanese Days on Combinatorial Optimization,  1991 

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  • Polynomial Time Perfect Sampling Algorithm for Two-rowed Contingency Tables

    Third colloquium on mathematics and computer science  2004 

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  • 連続分数ナップサック問題のO(n)時間解法

    日本OR学会大会予稿集,日本OR学会  1991 

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  • 電力取引における約定量決定問題の高速解法

    日本オペレーションズリサーチ学会2004年秋季研究発表会  2004 

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  • Auction alogorithm for minimum arborescence problems

    日本OR学会大会予稿集,日本OR学会  1991 

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  • A linear time algorithm for a Hitchcock transportation problem with a fixed number of supply points

    4th Franco-Japanese Days on Combinatorial Optimization  1991 

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  • 離散化 Dirichlet 分布に従うパーフェクトサンプリング法

    統計関連学会連合大会,統計関連学会連合  2004 

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  • Adjacency of the best and Second best valued solutions in combinatorial optimization problems

    1990 

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  • Multicoloring unit disk graphs on trianglar lattice points

    アルゴリズム研究会予稿集,情報処理学会  2004 

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  • Algorithms for finding a Kth best valued assignments

    1990 

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  • 混合整数計画の解法について''

    日本鉄鋼協会主催制御フォーラム  2004 

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  • 重み付き単体分割問題について

    日本OR学会大会予稿集,日本OR学会  1991 

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  • 離散化 Dirichlet 分布に従うパーフェクトサンプリング法

    2004年度統計関連学会連合大会  2004 

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  • Share Planning に基づく適正相続方法提案エキスパートシステムの開発

    日本経営工学会誌,日本経営工学会  1991 

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  • 閉ジャクソンネットワークに対するパーフェクトサンプリング法

    97回アルゴリズム研究会予稿集,情報処理学会  2004 

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  • Sampling Algorithm for Two-rowed Contingency Tables'

    Japan-Korea Joint Workshop on Algorithms and Computation (WAAC03)  2003 

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  • Edge covering lower bounds for Steiner subgraph problems

    1990 

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  • Perfect sampler for closed Jackson network

    Joint Conference  2004 

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  • Integer Programming Based Algorithms for Peg Solitaire Problems

    McGill Seminar on Algorithms  2003 

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  • A linear time algorithm for a Hitchcock transportation problem with a fixed number of supply points

    日本OR学会大会予稿集,日本OR学会  1991 

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  • Finding all the s-t paths in acyclic graphs

    International Symposium on Operations Research with Application in Engineering,Technology and Management (ISORA)  1995 

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  • 選択組立におけるマッチング算法

    日本OR学会大会予稿集,日本OR学会  1995 

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  • Finding all the s-t paths in acyclic graphs

    8th France-Japanese 4th France-Chinese conference: Computer and Science  1995 

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  • NP-completeness of non-adjacency relations of some 0-1 polytopes

    International Symposium on Operations Research with Application in Engineering,Technology and Management (ISORA)  1995 

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  • NP-completeness of non-adjacency relations of some 0-1 polytopes

    International Symposium on Operations Research with Application in Engineering,Technology and Management (ISORA)  1995 

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  • Finding all the s-t paths in acyclic graphs

    International Symposium on Operations Research with Application in Engineering,Technology and Management (ISORA)  1995 

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  • 制御不能流判定問題のNP-完全性について

    日本オペレーションズ・リサーチ学会  1995 

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  • Finding all the s-t paths in acyclic graphs

    8th France-Japanese 4th France-Chinese conference: Computer and Science  1995 

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  • 全張木を重さの軽い順に列挙する

    電子情報通信学会ソサイエティ大会講演論文集,電子情報通信学会  1995 

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  • 全張木を重さの軽い順に列挙する

    日本OR学会大会予稿集,日本OR学会  1995 

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  • Fractional programming and valuated matroids

    Parametric Optimization and Related Topics V  1997 

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  • 偽金貨を探せ

    公開講座「目で見る応用数理」  1997 

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  • Channel assignment problems

    Combinatorial Optimization Workshop, Makuhari  1997 

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  • Finding all bases of matroids

    1996 

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  • Finding all maximal common indenpendent sets of matroids

    KOREA-JAPAN Joint Workshop on Algorithms and Computation  1996 

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Industrial property rights

  • ヤード管理装置、ヤード管理方法、およびプログラム

    黒川 哲明, 松井 知己

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    Applicant:日本製鉄株式会社

    Application no:特願2018-196668  Date applied:2018.10

    Announcement no:特開2020-064497  Date announced:2020.4

    J-GLOBAL

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  • ヤード管理装置、ヤード管理方法、およびプログラム

    黒川 哲明, 松井 知己

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    Applicant:日本製鉄株式会社

    Application no:特願2018-196668  Date applied:2018.10

    Announcement no:特開2020-064497  Date announced:2020.4

    Patent/Registration no:特許第7192382号  Date registered:2022.12 

    J-GLOBAL

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  • 鋼材の山分け計画立案装置、鋼材の山分け計画立案方法、およびプログラム

    黒川 哲明, 松井 知己, ▲高▼橋 佑典

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    Applicant:新日鐵住金株式会社

    Application no:特願2015-160725  Date applied:2015.8

    Announcement no:特開2017-039556  Date announced:2017.2

    J-GLOBAL

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  • 鋼材の山分け計画立案装置およびプログラム

    黒川 哲明, 松井 知己, ▲高▼橋 佑典

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    Applicant:日本製鉄株式会社

    Application no:特願2015-160725  Date applied:2015.8

    Announcement no:特開2017-039556  Date announced:2017.2

    Patent/Registration no:特許第6515339号  Date registered:2019.4 

    J-GLOBAL

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  • 鋼材の山分け計画立案装置、鋼材の山分け計画立案方法、およびプログラム

    黒川 哲明, 松井 知己

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    Applicant:新日鐵住金株式会社

    Application no:特願2015-160726  Date applied:2015.8

    Announcement no:特開2017-040985  Date announced:2017.2

    J-GLOBAL

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  • 鋼材の山分け計画立案装置、鋼材の山分け計画立案方法、およびプログラム

    黒川 哲明, 松井 知己

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    Applicant:日本製鉄株式会社

    Application no:特願2015-160726  Date applied:2015.8

    Announcement no:特開2017-040985  Date announced:2017.2

    Patent/Registration no:特許第6540360号  Date registered:2019.6 

    J-GLOBAL

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Works

  • パーフェクトサンプリングを用いたマルコフ連鎖モンテカルロ法の構築

    2011.4

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  • マルコフ連鎖を用いた多項式時間パーフェクトサンプリング法の開発

    2007.4

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  • スポーツスケジューリング

    2006.4

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  • 列挙算法を用いた組合せ最適化問題の解法の開発

    2001.4

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  • 列挙算法の構築と解析

    1999.4

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  • 大域的最適化問題の列挙算法の構築

    1997.4

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  • 組合せ最適化問題における列挙算法の開発と実現

    1995.4

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  • 組合せ最適化問題に対する数え上げ手法を用いた効率的な解法の開発と実現

    1993.4

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Awards

  • 第23回 業績賞

    2022.3   日本オペレーションズ・リサーチ学会  

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  • 計測・制御・システム研究賞(第25回 2020年)

    2020.3   日本鉄鋼協会   頂点彩色問題帰着に基づくスラブヤード山分け問題解法技術の開発

    槻木澤 佑公, 黒川 哲明, 松井 知己, 高橋 佑典

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  • 技術賞

    2019.9   スケジューリング学会賞   2種類のバスからなるバススケジューリング問題の多項式時間解法

    西澤元, 松井知己

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  • 日本OR学会第1回研究賞

    2011  

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    Country:Japan

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  • 日本OR学会第29回事例研究賞

    2009  

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    Country:Japan

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  • 日本OR学会フェロー

    2007  

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    Country:Japan

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  • 日本OR学会第26回普及賞

    2001  

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    Country:Japan

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  • 手島記念研究賞博士論文賞

    1993  

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    Country:Japan

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Research Projects

  • 避難所と避難経路提案のための支援システムの開発

    Grant number:20K04973  2020.4 - 2025.3

    日本学術振興会  科学研究費助成事業  基盤研究(C)

    松井 泰子, 土屋 守正, 桑田 孝泰, 松本 哲志, 松井 知己

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    Grant amount:\4160000 ( Direct Cost: \3200000 、 Indirect Cost:\960000 )

    研究代表者らは,前年度から引き続き,「トーラス上での避難経路の提案」に取り組んでいる.
    研究代表者は,頂点重みをバランス化した安全集合の列挙問題も取り組んでいる.
    研究分担者の土屋守正氏と桑田孝泰氏は, 研究代表者とトーラス上でのグラフの幾何学的特性について議論している.研究分担者の松本哲志氏は2021年度後半は研究休暇で広島に赴任したため,実装準備は進行途中である.研究分担者の松井知己氏は,離散最適化の観点から防災に関連した組合せ最適化問題を調査中である.
    メンバーは,査読付き国際ジャーナルでの論文発表や,国内外での会議での発表を行い,活発に研究を継続している.

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  • Mechanism Design in Economies with Externalities: Theory and Experiments

    Grant number:26285045  2014.4 - 2019.3

    Japan Society for the Promotion of Science  Grants-in-Aid for Scientific Research  Grant-in-Aid for Scientific Research (B)

    Takehiko Yamato

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    Grant amount:\15730000 ( Direct Cost: \12100000 、 Indirect Cost:\3630000 )

    Regarding mechanism design in economies with externalities, we show whether the efficient grand coalition is formed depends crucially on bargaining and transaction costs when agents take farsighted behavior. In addition, in the case in which there are agents who feel responsible for achieving socially desirable allocations as observed in recent economic experiments, we identify the class of social choice rules by outcome mechanisms in which each agent reports an outcome only. Moreover, we observe in our experiments that for a mechanism to be formed and maintained repeatedly, it is important to introduce a voting process to select participants in the mechanism based on past information, but punishment rules on non-contributors may not work well.

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  • Research and Development of Decision Making Platform by New Optimization Model

    Grant number:26242027  2014.4 - 2019.3

    Japan Society for the Promotion of Science  Grants-in-Aid for Scientific Research  Grant-in-Aid for Scientific Research (A)

    MIZUNO SHINJI, kojima Masakazu

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    Grant amount:\39130000 ( Direct Cost: \30100000 、 Indirect Cost:\9030000 )

    In this research, we had the following results for three purposes. For the modeling of decision making problems, we constructed new models for portfolio optimization problems, storage problems in a container terminal, and variable selection problems for eliminating multicollinearity.
    For the development of algorithms, we had new results for the simplex method and LP-newton methods for linear programming problems, approximation algorithms for covering integer programming problems, and robust algorithms for symmetric cone programming problems.
    For the development of decision making platform, we implemented and evaluated computer programs for solving large scale scheduling problems with practical constraints, minimum maximal flow problems, and multi-period portfolio selection problems.

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  • An analysis of auction theory for multi-objects and real options incorporating game theory under strategic complementarities

    Grant number:21530169  2009 - 2011

    Japan Society for the Promotion of Science  Grants-in-Aid for Scientific Research  Grant-in-Aid for Scientific Research (C)

    WATANABE Takahiro, YAMASHITA Hideaki, MATSUI Tomomi

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    Grant amount:\4160000 ( Direct Cost: \3200000 、 Indirect Cost:\960000 )

    In this research, we obtained the following two results. First of all, we provide the sufficient conditions for a Markov perfect equilibrium in pure strategies to exist for a class of stochastic games with finite horizon, in which any stage game has strategic complementarities. Secondly, we investigated a game in which an incumbent and an entrant decide the timings of entries into a new market. The incumbent privately knows the information and has an incentive to delay the timing of the investment in order to hide the information strategically. We characterize the equilibria of this signaling game and give the conditions in which the social welfare is distorted.

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  • 組合せ最適化

    2009

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    Grant type:Competitive

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  • combinatorial optimization

    2009

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    Grant type:Competitive

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  • 安定結婚問題における虚偽の申告によって達成可能なマッチングの特徴付け

    2008

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    Grant type:Competitive

    安定結婚問題は,1962年に提案された,ゲーム理論における古典的な問題である。同数の男女をマッチングする際に安定したマッチングがGale Shaply アルゴリズムによって得られることが知られている。しかしながら、男性プロポーズ型 Gale Shapley アルゴリズムにおいては女性が虚偽の選好を申告することにより結果を操作することができる。本研究では、虚偽の申告により達成できるマッチングの判定についは,長年未解決の問題であった。本研究では、この判定問題が多項式時間で解けることを初めて示した。

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  • データフュージョン(データ統合)問題に対する多次元割当問題によるモデル化と近似解法の構築

    2007

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    Grant type:Competitive

    データフュージョンは、近年マーケティングの分野において注目されているデータの活用技術である。複数の企業で構築された顧客データを統合することで、より有効な情報を抽出するという手法である。本研究ではこの問題を、尤度が最大となるマッチングを求める多次元割当問題としてモデル化し、近似解法の提案を行う。

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  • 多センサシステムにおける多ターゲット同定問題の近似解法

    2007

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    Grant type:Competitive

    マルチセンサシステムを用いて、複数ターゲットを追跡する際には、複数ターゲットの同定が必要となる。この研究では、複数ターゲットの同定問題を、多次元正規分布に対する尤度最大化問題として定式化し、その近似解法を構築する。

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  • Markov chain Monte Carlo method based on perfect sampler

    Grant number:23651157  2006 - 2012

    Japan Society for the Promotion of Science  Grants-in-Aid for Scientific Research  Grant-in-Aid for Challenging Exploratory Research

    MATSUI Tomomi

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    Grant type:Competitive

    Markov chain Monte Carlo method based on perfect sampler
    We proposed an FPRAS (Fully Polynomial time Randomized Approximation Scheme) for calculating the expectation of the critical path length in a stochastic PERT (Program Evaluation and Review Technique) network. Our scheme uses a perfec

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  • Comparison among auction formats for preventing from manipulations and cheats in the view of theory and experimentation

    Grant number:18530139  2006 - 2008

    Japan Society for the Promotion of Science  Grants-in-Aid for Scientific Research  Grant-in-Aid for Scientific Research (C)

    WATANABE Takahiro

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    Grant amount:\4040000 ( Direct Cost: \3500000 、 Indirect Cost:\540000 )

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  • マルコフ連鎖モンテカルロ法を用いた、待ち行列ネットワークの近似解析法

    2006

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    Grant type:Competitive

    待ち行列ネットワークは、大規模コンピュータシステムの挙動を解析するうえで基本的なモデルである。待ち行列ネットワークにおける、待ち時間や待ち行列の長さを計算することで、コンピュータネットワーク内でのジョブの挙動を解析することが可能となる。本研究では、待ち行列ネットワークの基本となるパラメタの計算を行うマルコフ連鎖モンテカルロ法を提案する。提案手法では、パーフェクトサンプリング法を用いている。提案手法は、得られる解の精度を指定して実行することが可能な近似解法となっている。

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  • フルートの運指最適化と逆最適化を用いたパラメータチューニング

    2006

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    Grant type:Competitive

    フルートは、1つの音に対し運指が複数あり、テンポの速いパッセージを演奏する際は、替え指を用いることで演奏を容易にすることがある。本研究では、テンポの速いパッセージ演奏時に用いる運指を選択する問題を最適化問題として捉え、それを求める方法を提案している。簡単には、運指を頂点とし、連続する音に対応する運指間に枝を導入したグラフを構築し、枝上に運指の変え易さを表す長さを割り当て、最適な運指を求める問題を最短路問題として定式化している。更に本研究では、最適化から『学習理論』へと視点を変え、提案手法のユーザーを中級の奏者と具体的に限定し、奏者にとって好ましい運指を出力する『重み付け』を求めるパラメータチューニング法を提案している。提案する手法は、逆最適化と呼ばれる問題を解くことで、複数の尺度の重み付けを定めている。提案手法は、他の楽器の演奏にも応用が可能なものとなっている。

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  • 携帯電話ネットワークの周波数割当問題

    2006

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    Grant type:Competitive

    携帯電話ネットワークは、各基地局に周波数が割り当てられている。電話の混信を防ぐには、近くにある基地局の周波数は異なるものを用いる必要がある。携帯電話会社の使用できる周波数チャネルの数は限られているため、これを効率的に運用するには基地局への周波数チャネルの割当に十分に注意を払う必要がある。本研究では、携帯電話ネットワークの基地局への周波数チャネル割当を求める問題を、グラフの多重彩色問題としてモデル化し、これに対する近似解法を提案する。

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  • ハブスポーク型の航空機ネットワーク設計

    2006

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    Grant type:Competitive

    ハブスポーク型のネットワークは、航空機のネットワークや、宅配便の輸送ネットワーク等に採用されている構造である。ハブと呼ばれる少数の輸送基地間で大量輸送を行うことにより、コストや環境への負荷を低減することができる。このネットワークを効率的に運用するために、個々の輸送拠点(非ハブ)をどのハブに所属させるかを決定する必要がある。本研究では、この問題を組合せ最適化問題としてモデル化し、その解法を構築する。

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  • 整数計画法を用いたペグソリティア(ペグソリテール)の解法

    2006

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    Grant type:Competitive

    ペグソリティアは、穴の開いた盤とペグを用いて遊ぶ古典的なパズルである。盤上の穴にいくつかのペグを刺した状態から始め、ペグが隣合うペグを飛び越すことによって、飛び越されたペグが取り除かれる。指定された最終状態になるようにペグを移動し取り除くのが目的である。本研究では、与えられたペグソリティア問題を解く効率的な解法を構築する。各飛び越し操作に対して、その上限回数を求める問題を整数計画問題として定式化し、これを解いて得られた上限値を用いて、ゲーム木の探索の時間を削減する。ハッシュ関数を用いた盤面の記憶により、探索を更に早めることができる。

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  • 連続と離散の融合によるロバストアルゴリズム構築

    Grant number:16092204  2004 - 2007

    日本学術振興会  科学研究費助成事業  特定領域研究

    杉原 厚吉, 室田 一雄, 今井 浩, 松井 知己, 岩田 覚, 大石 泰章

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    Grant amount:\28900000 ( Direct Cost: \28900000 )

    従来は連続計算の分野と離散計算の分野に分かれてそれぞれ独立になされてきたアルゴリズム研究の知見を融合し,両者の手法の長所を補完し合うことによって,諸計算のロバスト性を確保するための計算原理を開拓することが本研究の目的であった.本年度もこの目的に沿って研究を行い,次のような成果を得た.幾何計算の分野では,2次元および3次元の球ボロノイ図のロバストな計算法を開発した.これは,位相構造をいつも正しく判定できる高精度計算を用いるもので,必要な精度をもとの入力データの2d+4倍に置き換えることに成功した.また,流れの中でのボートの最短経路を求めるロバスト解法を高次元と曲面上とへ拡張した.さらに長方形詰込み問題の実用的解法を構成するとともに,一般の形の図形詰込み結果に基づいてハードメタルを切り取るためのカッターパス生成法を構成した.離散凸解析の分野では,定パリティジャンプシステム上のM凸関数が,合成積やグラフによる変換によってM凸性を保存することを示した.量子計算の分野では,カット凸多面体とベル不等式の関係を明らかにし,量子状態を記述するより強力な不等式を得た.サンプリングの分野では,マルコフ連鎖を用いたモンテカルロ法のためのパーフェクトサンプリング方法を開発した.組合せ最適化の分野では,数理計画問題の符号情報のみから最適解の性質を調べる方法を開発した.制御計算の分野では,制御対象パラメータのとり得る区間の中で常に安定性が保証されるロバスト制御法を,ロバスト線形不等式を条件とする半正定値問題に帰着させて解く方法を与えた.構造設計の分野では,不確定な外力に対する構造物の解析法を開発した.これらの諸成果を通じて,「連続計算における知見と離散計算における知見の交流によって,計算の安定化をはかることができる」というロバストな計算を確保するための一つの原理の有効性を確認することができた.

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  • Enumeration and Sampling Based Algorithms for Combinatorial Optimization Problems

    Grant number:13680510  2001 - 2004

    Japan Society for the Promotion of Science  Grants-in-Aid for Scientific Research  Grant-in-Aid for Scientific Research (C)

    MATUURA Shiro, MATSUI Tomomi

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    Grant amount:\3300000 ( Direct Cost: \3300000 )

    The following results are obtained in this research project.
    1.Integer quadratic programming problems
    We proposed a 0.935-approximation algorithm for MAX 2SAT and a 0.863-approximation algorithm for MAX DICUT. The approximation ratios improve upon the recent results of Zwick, which are equal to 0.93109 and 0.8596439254 respectively. Also proposed are derandomizad versions of the same approximation ratios. We note that these approximation ratios are obtained by numerial computaiton rather than theoretical proof. The algorithms are based on the SDP relaxation proposed by Goemans and Williamson but do not use the 'rotation' technique proposed by Feign and Goemans. The improvements in the approximation ratios are obtained by the technique of 'hyperplane separation with skewed distribution function on the sphere'.
    2.Sports Scheduling
    The break minimization problem is to find a home-away assignment that minimizes the number of breaks for a given schedule of round-robin tournament. In a recent paper, Elf, Junger and Rinaldi conjectured that there exists a polynomial time algorithm to determine whether the optimal value of the given break minimization problem is less than the number of teams. We proved the conjecture affirmatively by showing that the determining problem is solvable in polynomial time. Our approach is to transform the determining problem to instances of 2SAT. We also showed that the break minimization problem can be formulated as MAX RES CUT and MAX 2SAT. We applied Goemans and Williamson's approximation algorithm for MAX 2SAT based on positive semidefinite programming relaxation. Our computational experiments show that the approximation algorithm finds good solutions in practical computational time.
    3.Sampling and counting problems
    we proposed a new counting scheme for m x n contingency tables. Our scheme is a modification of Dyer and Greenhill's scheme. We can estimate not only the sizes of error, but also the sizes of the bias of the number of tables obtained by our scheme, on the assumption that we have an approximate sampler. For sampling 2x2x...x2xJ contingency tables, we proposed two Markov chains. Stationary distributions of our chains are the uniform distribution and a conditional multinomial distribution We showed that our chains mix rapidly. For two-rowed contingency tables, we propose a polynomial time perfect (exact) sampling algorithm. Our algorithm is a Las Vegas type randomized algorithm and the expected running time is bounded by a polynomial of input size. The main idea of our algorithm is the monotone coupling from the past (monotone CFTP) algorithm proposed by Prop and Wilson.

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  • Exploitation of Applications of Discrete Convex Analysis

    Grant number:12450040  2000 - 2002

    Japan Society for the Promotion of Science  Grants-in-Aid for Scientific Research  Grant-in-Aid for Scientific Research (B)

    MUROTA Kazuo, TAMURA Akihisa, MATUURA Shiro, MATSUI Tomomi, FURIHATA Daisuke, SHIOURA Akiyoshi

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    Grant amount:\7600000 ( Direct Cost: \7600000 )

    The main aim of this research project is to exploit applications of the theory of discrete convex analysis proposed by the head investigator in the last decade. In this research project, we obtained various results described below. All of the results are presented at refereed international conferences and/ or accepted for publications in international scientific journals.
    (1) In the area of mathematical economics we obtained three results as applications of discrete convex analysis. First of all, we developed a theory for economic equilibrium models with indivisible goods ; in particular, we investigated sufficient conditions for the existence of competitive equilibrium in an exchange economy with indivisible goods. Secondly, we provide new characterizations of M-convex functions which play a central role in discrete convex analysis. These characterizations are based on well-known concepts in mathematical economics such as the gross substitutes condition and the single improvement condition. Thirdly, we developed an algorithm for computing a competitive equilibrium in an exchange economy with indivisible goods. This algorithm is based on M-convex submodular flow problem which is an optimization problem in discrete convex analysis.
    (2) We showed a proximity theorem for M-convex function minimization and developed fast algorithms.
    (3) We discussed combinatorial structure in engineering system from the viewpoint of discrete convex analysis. In particular, we investigated the delta matroid parity problem with the aim of determining the solvability of electrical circuits, and developed an efficient algorithm.
    (4) We verified applicability of the algorithms in discrete convex analysis to several problems in operations research. Based on this result, we developed efficient algorithms for the network design problem and the max cut problem.

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  • 列挙算法の構築と解析

    Grant number:11780323  1999 - 2000

    日本学術振興会  科学研究費助成事業  奨励研究(A)

    松井 知己

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    Grant amount:\2400000 ( Direct Cost: \2400000 )

    (1)オペレーションズ・リサーチや通信分野に出現する離散最適化問題について,列挙算法を用いた解法の開発を行う予定であった.オペレーションズ・リサーチの分野では,ハブ空港配置問題に対し,線形化と連続緩和を併用した緩和法の開発に成功した.この解法では,ハブ空港配置問題の目的関数の持つ非線形項を線形化するにあたって,サイズが3×3から5×5程度のヒッチコック型輸送問題の,双対多面体の端点列挙が必要となる事が判明した.この成果については,6月に韓国で開催される国際会議で発表を予定している.また通信分野では,携帯電話網の周波数割当問題に対し,以前発表された方法が,一般的な設定において,近似精度が保証される解法であることを証明した.この結果については,海外のオペレーションズ・リサーチの専門誌に投稿中である.
    (2)半正定値計画を用いた近似解法の開発を予定していた.これについては,最大有向カット問題に対して,性能の良い近似解法の開発に成功した.従来の近似解法において2分割半平面をランダムに発生させるのに対し,その発生確率分布を詳細に設計することにより,従来の近似比率が0.859であった所を0.862に改善を行った.現時点では,この解法が世界で最も良い近似比率を持つ解法となっている.

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  • Approximation Algorithms Based on Network Flow and Semidefinite Programming

    Grant number:10205222  1998 - 2000

    Japan Society for the Promotion of Science  Grants-in-Aid for Scientific Research  Grant-in-Aid for Scientific Research on Priority Areas (B)

    ASANO Takao, UNO Takeaki, MATSUI Tomomi, TSUKIYAMA Shuji

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    Grant amount:\7700000 ( Direct Cost: \7700000 )

    The objective of this research is to do research on approximation algorithms with high quality and high performance for combinatorial optimization problems based on network flow and semidefinite programming and contribute to the development of approximation algorithms from both theoretical and practical points of view. More specifically, we consider network problems and geometric problems including maximum satisfiability, maximum independent set, minimum set cover, VLSI physical design and so on, and obtain approximation algorithms with better performance based on network flow and semidefinite programming or on a newly proposed method. To achieve this objective, we have done the following researches.
    We made an investigation on important techniques developed for designing approximation algorithms which are of high qaulity and of high performance in the fields of computational geometry, graph-network algorithms, combinatorial optimization, parallel and distributed algorithms and so on. Especially based on the semidefinte programming and network-flow techniques, we made an investigation on discrete algorithms with high performance by exchanging ideas with leading researchers in the world. Through this investigation, we could propose approximation algorithms with high qaulity and high performance in the fields of VLSI design, information networks and real world applications. Specifically, for the maximum satisfiability problem, we proposed a new algorithm with the world best record in the performance. We also implemented the algorithms as well as algorithms previously proposed by other researchers with the helps of students and made computational experiments in order to evaluate the new algorithms not only from the theoretical point of view but also from the practical point of view. The results in this research were published in the world leading journals and symposia.

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  • 大域的最適化問題の列挙解法の構築

    Grant number:09780404  1997 - 1998

    日本学術振興会  科学研究費助成事業  奨励研究(A)

    松井 知巳

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    Grant amount:\2200000 ( Direct Cost: \2200000 )

    本研究では、下記の結果を得た。
    (1) スポーツのスケジューリングにおいて、公平な2重総当たりリーグ戦を作成する算法について研究を行った。通常の定式化では非常に大きな整数計画問題になるところを、問題の部分解を高速に列挙した後、その部分解の組合せ方を整数計画で定式化するという方法により、従来の結果より非常に高速に、良い解を得ることが出来た。この結果は現在発表予定である。
    (2) 過飽和実験計画法に対し、列挙法を用いてデザインの生成を行った。同時にデザインの良さ対する尺度の提案を行っている。この結果については論文を現在投稿中である。
    (3) 協力ゲームの一つである、重み付き多数決ゲームのシャプレー=シュービックインデックス、バンザフインデックス、ディーガン=パックルインデックスを求める列挙法の提案を行った。この結果は、すでに日本OR学会のRAMPシンポジウムで発表を行い、現在論文を投稿中である。

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  • 組合せ最適化問題における列挙算法の開発と実現

    Grant number:07750081  1995

    日本学術振興会  科学研究費助成事業  奨励研究(A)

    松井 知己

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    Grant amount:\1000000 ( Direct Cost: \1000000 )

    現在までの組合せ最適化問題の解法に関する研究においては、その速さが最も重要視されてきた。しかし、研究の充実と近年の計算機環境の進展に伴い、巨大な問題を扱うための記憶容量の問題がクローズアップされつつある。数え上げ手法を用いる際には特に、この記憶容量が問題となるという点で、現在までの研究では十分明らかにされていない点が数多く存在している。そのため、理論的、実験的な研究が必要とされる問題が多く残されている。
    本研究において、辺彩色問題に対する列挙算法を開発した。この解法の特徴は、記憶容量をほとんど必要としない点である。またNP完全であることが知られている集合分割問題について、その線形緩和問題の端点解列挙算法の変種として、パラメトリック単体法が構築できることを示した。さらにグラフの全張木の列挙算法において、用いる列挙木による必要記憶容量の違いについて計算機実験を行った。この実験により得られた知見から、効率的な全張木の列挙算法の設計に成功している。この算法は、全張木列挙問題だけではなく、マトロイドの基の列挙問題に拡張することが可能であることが判明した。マトロイドの基の列挙算法は、線形等式系の基底解の列挙算法などを特殊ケースとして含んでいる。現在は、線形等式系の基底解を、1つあたりその線形等式のランクの多項式時間で列挙を行う算法の開発に着手している。

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  • 組合わせ最適化問題に対する数え上げ手法を用いた効率的な解法の開発と実現

    Grant number:05750065  1993

    日本学術振興会  科学研究費助成事業  奨励研究(A)

    松井 知己

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    Grant amount:\1100000 ( Direct Cost: \1100000 )

    現在までの組合わせ最適化問題の解法に関する研究においては、その速やかさが最も重要視されてきた。しかし、研究の充実と近年の計算機環境の進展に伴い、巨大な問題を扱うための記憶容量の問題がクローズアップされつつある。数え上げ手法を用いる際には特に、この記憶容量が問題となるという点で、現在までの研究では十分明らかにされていない点が数多く存在している。そのため、理論的、実験的な研究が必要とされる問題が多く残されている。
    本研究において、Chinese Postman Problemに対するK-bestアプローチを用いた解法を開発した。また可能解の列挙解法においては、二部グラフ上のマッチングの高速列挙解法の構築に成功した。この解法の特徴は、記憶容量をほとんど必要としない点である。今後この解法を用いた、グラフ辺彩色問題の列挙解法の開発を予定している。

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  • 情報ネットワークをいかした新しい日本的経営管理の研究

    Grant number:04832038  1992

    日本学術振興会  科学研究費助成事業  一般研究(C)

    山田 善靖, 松井 知己, 難波 和明

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    Grant amount:\1900000 ( Direct Cost: \1900000 )

    本研究によって以下の4つの研究をおこなった。まず第1に感覚的な要素を含んだ問題の意思決定法として知られているAHPを集団での意思決定を支援するために用いる方法に改善し、二段階グループ意思決定法を構築し提案した。この方法は初めの段階でグループの特性を把握し、次の段階でグループメンバーの意思決定評価を把握し、この二つの結果を総合して、集団の意思決定の為の情報を得る方法である。第2には会議で意思決定をする場合の支援情報を提供する数理計画法としてグループDEA法を考案し、関連学会で発表した。第3に日本の集団意思決定と米国の集団意思決定がどのように異なるかを研究するために、日本の大学生とアメリカの大学生とに同じデーマで議論させその議論の進行状況を観察するとともにビデオに撮り分析した。この実験の結果日本の学生のほうが意思決定問題に直接的な議論が多かったが、アメリカの学生にほうが意思決定問題の背景あるいは意思決定ルールの議論が多いようであった。しかしこの実験は学生を対象としたこと、実験回数が少なかったこと、実験対象者が少なかったことなどの為に十分なものではなかったが、集団の特性と意思決定との関係を把握するための示唆は与えられた。今後この種の実験をさらに続け日米比較をより進めるつもりである。最後に集団意思決定とグループウエアとの関係について文献の調査を行うとともに国際会議に参加、発表によって日本の集団意思決定に対するグループウエアの革新可能性について研究した。

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