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Deep Studies on Allocation Problems with Discrete Structures

Research Project

Project/Area Number 24300003
Research Category

Grant-in-Aid for Scientific Research (B)

Allocation TypePartial Multi-year Fund
Section一般
Research Field Fundamental theory of informatics
Research InstitutionKeio University

Principal Investigator

Tamura Akihisa  慶應義塾大学, 理工学部(矢上), 教授 (50217189)

Co-Investigator(Kenkyū-buntansha) 太田 克弘  慶應義塾大学, 理工学部(矢上), 教授 (40213722)
小田 芳彰  慶應義塾大学, 理工学部(矢上), 准教授 (90325043)
南 美穂子  慶應義塾大学, 理工学部(矢上), 教授 (70277268)
Research Collaborator Fleiner Tamas  
Project Period (FY) 2012-04-01 – 2017-03-31
Project Status Completed (Fiscal Year 2016)
Budget Amount *help
¥5,850,000 (Direct Cost: ¥4,500,000、Indirect Cost: ¥1,350,000)
Fiscal Year 2015: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2014: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
Fiscal Year 2013: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2012: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Keywords離散最適化 / 離散構造 / 離散凸解析 / 資源配分問題 / マッチング / 戦略的頑健性 / アルゴリズム / 配属問題 / 国際情報交換 / 国際研究者交流 / ハンガリー / 安定結婚 / 安定マッチング / 安定割当
Outline of Final Research Achievements

Discrete allocation problems (i.e., allocation of students to departments, allocation of residents to hospitals) are important practical problems. The aim of the project is to generalize the stable matching model by using discrete structures such as graphs and discrete convex analysis, and to analyze developed models.
We develop a new mechanism for a discrete allocation problem with distributional constraints, and propose and analyze new generalizations of the stable matching model to directed networks, and so on. These results are summarized as six papers published in academic journals, two submitted papers, and two papers during preparations.

Report

(6 results)
  • 2016 Annual Research Report   Final Research Report ( PDF )
  • 2015 Research-status Report
  • 2014 Research-status Report
  • 2013 Research-status Report
  • 2012 Research-status Report
  • Research Products

    (29 results)

All 2017 2016 2015 2014 2013 2012 Other

All Int'l Joint Research (6 results) Journal Article (6 results) (of which Peer Reviewed: 6 results,  Acknowledgement Compliant: 4 results,  Open Access: 2 results) Presentation (16 results) (of which Int'l Joint Research: 5 results,  Invited: 3 results) Book (1 results)

  • [Int'l Joint Research] Stanford University(米国)

    • Related Report
      2016 Annual Research Report
  • [Int'l Joint Research] University of Oxford(United Kingdom)

    • Related Report
      2016 Annual Research Report
  • [Int'l Joint Research] Budapest Univ. of Technology & Economics(ハンガリー)

    • Related Report
      2016 Annual Research Report
  • [Int'l Joint Research] Budapest Univ. of Technology & Exnomics/Eotvos Lorand University(Hungary)

    • Related Report
      2015 Research-status Report
  • [Int'l Joint Research] University of Oxford(英国)

    • Related Report
      2015 Research-status Report
  • [Int'l Joint Research] Stanford University(米国)

    • Related Report
      2015 Research-status Report
  • [Journal Article] Designing Matching Mechanisms under General Distributional Constraints2017

    • Author(s)
      Goto, M., Kojima F., Kurata R., Tamura A. and Yokoo, M.
    • Journal Title

      American Economic Journal: Microeconomics

      Volume: 印刷中

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Stability in supply chain networks: An approach by discrete convex analysis2015

    • Author(s)
      Ikebe, Y. T and Tamura, A.
    • Journal Title

      Journal of the Operations Research Society of Japan

      Volume: 58 Pages: 271-290

    • NAID

      130005096753

    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Stability and competitive equilibria in multi-unit trading networks with discrete concave utility functions2015

    • Author(s)
      Ikebe Y. T, Sekiguchi, Y., Shioura, A. and Tamura, A.
    • Journal Title

      Japan Journal of Industrial and Applied Mathematics

      Volume: 32 Issue: 2 Pages: 373-410

    • DOI

      10.1007/s13160-015-0175-7

    • NAID

      210000181655

    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Gross Substitutes Condition and Discrete Concavity for Multi-Unit Valuations: A Survey2015

    • Author(s)
      Akiyoshi, Shioura and Akihisa Tamura
    • Journal Title

      Journal of the Operations Research Society of Japan

      Volume: 58 Pages: 61-103

    • NAID

      130005067217

    • Related Report
      2014 Research-status Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Stability in supply chain networks: An approach by discrete convex analysis2015

    • Author(s)
      Yoshiko T, Ikebe and Akihisa Tamura
    • Journal Title

      Journal of the Operations Research Society of Japan

      Volume: 58

    • NAID

      130005096753

    • Related Report
      2014 Research-status Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Matching with partially ordered contracts2012

    • Author(s)
      Farooq R,Fleiner T Fleiner,Akihisa Tamura
    • Journal Title

      Japan Jornal of Industrial and Applied Mathematics

      Volume: 29 Issue: 3 Pages: 401-417

    • DOI

      10.1007/s13160-012-0073-1

    • NAID

      10031126874

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Presentation] Trading Networks with Bilateral Contracts2017

    • Author(s)
      Alex Teytelboym, Tamas Fleiner, Zsuzsanna Janko and Akihisa Tamura
    • Organizer
      MATCH-UP 2017
    • Place of Presentation
      Cambridge (USA)
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research
  • [Presentation] グループ制約付き学生配属問題に対する支援アルゴリズム2016

    • Author(s)
      赤堀峻, 関口陽介, 田村明久
    • Organizer
      日本オペレーションズリサーチ学会春季研究発表会
    • Place of Presentation
      慶應義塾大学(神奈川県・横浜市)
    • Year and Date
      2016-03-27
    • Related Report
      2015 Research-status Report
  • [Presentation] 複雑な制約を持つ学科分けー慶應義塾大学理工学部を例としてー2016

    • Author(s)
      赤堀峻, 関口陽介, 田村明久
    • Organizer
      山本芳嗣先生ご退職記念シンポジウム「最適化:新たな価値創造のためのモデリングとアルゴリズム」
    • Place of Presentation
      筑波大学(茨城県・つくば市)
    • Year and Date
      2016-03-04
    • Related Report
      2015 Research-status Report
    • Invited
  • [Presentation] Multi-unit trading networks with discrete concave utility functions2015

    • Author(s)
      Y.T Ikebe, Y. Sekiguchi, A. Shioura and A. Tamura
    • Organizer
      22nd International Symposium on Mathematical Programming
    • Place of Presentation
      Pittsburgh(USA)
    • Year and Date
      2015-07-16
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research
  • [Presentation] Designing matching mechanisms under general distributional constraints2015

    • Author(s)
      M. Goto, F. Kojima, R. Kurata, A. Tamura and M. Yokoo
    • Organizer
      16th ACM Conference on Economics and Computation
    • Place of Presentation
      Portland(USA)
    • Year and Date
      2015-06-17
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research
  • [Presentation] Multi-unit trading networks with discrete concave utility functions2015

    • Author(s)
      Y.T Ikebe, Y. Sekiguchi, A. Shioura and A. Tamura
    • Organizer
      The 9th Hungarian-Japanese Symposium on Discrete Mathematics and Its Applications
    • Place of Presentation
      西新プラザ(福岡県・福岡市)
    • Year and Date
      2015-06-03
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research
  • [Presentation] Stability in Cyclic supply chains2015

    • Author(s)
      T. Fleiner, Z. Janko, A. Tamura and A. Teytelboym
    • Organizer
      The 9th Hungarian-Japanese Symposium on Discrete Mathematics and Its Applications
    • Place of Presentation
      西新プラザ(福岡県・福岡市)
    • Year and Date
      2015-06-03
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research
  • [Presentation] 歪M#凹関数を用いた取引ネットワークモデル2015

    • Author(s)
      池辺淑子, 関口陽介, 塩浦昭義, 田村明久
    • Organizer
      日本オペレーションズリサーチ学会春季研究発表会
    • Place of Presentation
      東京理科大学(東京都・新宿区)
    • Year and Date
      2015-03-27
    • Related Report
      2014 Research-status Report
  • [Presentation] Designing matching mechanisms under constraints: An approach from discrete convex analysis2014

    • Author(s)
      F. Kojima, A. Tamura , M. Yokoo
    • Organizer
      The Seventh International Symposium on Algorithmic Game Theory
    • Place of Presentation
      Patras (Greece)
    • Year and Date
      2014-09-30
    • Related Report
      2014 Research-status Report
  • [Presentation] Stability and competitive equilibrium in extended trading networks with discrete concave utility functions2014

    • Author(s)
      Y.T. Ikebe, Y. Sekiguchi, A. Shioura, A. Tamura
    • Organizer
      The Second International Workshop on Market Design Technologies for Substainable Development
    • Place of Presentation
      Keio University (Kanagawa・Yokohama)
    • Year and Date
      2014-08-17
    • Related Report
      2014 Research-status Report
    • Invited
  • [Presentation] アルゴリズムの評価:安定結婚問題を通して2014

    • Author(s)
      田村明久
    • Organizer
      日本オペレーションズリサーチ学会研究部会SOTA
    • Place of Presentation
      筑波大学(茨城県・つくば市)
    • Year and Date
      2014-05-31
    • Related Report
      2014 Research-status Report
    • Invited
  • [Presentation] Stability of generalized network flows2014

    • Author(s)
      T. Fleiner, Z. Janko* and A. Tamura
    • Organizer
      The Third Matrahaza Workshop of the Egervary Research Group
    • Place of Presentation
      Budapest, Hungary
    • Related Report
      2013 Research-status Report
  • [Presentation] サプライチェーンの安定性2013

    • Author(s)
      池辺淑子, 田村明久
    • Organizer
      日本オペレーションズリサーチ学会春季研究発表会
    • Place of Presentation
      東京大学
    • Year and Date
      2013-03-06
    • Related Report
      2012 Research-status Report
  • [Presentation] Stability in supply chain networks: An approach by discrete convex analysis2013

    • Author(s)
      Y.T. Ikebe and A. Tamura*
    • Organizer
      The 8th Japanese-Hungarian Symposium on Discrete Mathematics and Its Applications
    • Place of Presentation
      Veszprem, Hungary
    • Related Report
      2013 Research-status Report
  • [Presentation] Stability of generalized network flows2013

    • Author(s)
      T. Fleiner, Z. Janko* and A. Tamura
    • Organizer
      The 8th Japanese-Hungarian Symposium on Discrete Mathematics and Its Applications
    • Place of Presentation
      Veszprem, Hungary
    • Related Report
      2013 Research-status Report
  • [Presentation] Matching with partially ordered contracts2012

    • Author(s)
      A. Tamura
    • Organizer
      The Second International Workshop on Matching Under Preferences
    • Place of Presentation
      Corvinus University of Budapest, Hungary
    • Year and Date
      2012-07-20
    • Related Report
      2012 Research-status Report
  • [Book] モデリングー広い視野を求めてー(第13章担当)2015

    • Author(s)
      田村明久
    • Publisher
      近代科学社
    • Related Report
      2014 Research-status Report

URL: 

Published: 2012-04-24   Modified: 2022-02-16  

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