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Reasonable modeling and algorithm developments of stable matching problems

Research Project

Project/Area Number 24500013
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Research Field Fundamental theory of informatics
Research InstitutionKyoto University

Principal Investigator

MIYAZAKI Shuichi  京都大学, 学術情報メディアセンター, 准教授 (00303884)

Project Period (FY) 2012-04-01 – 2016-03-31
Project Status Completed (Fiscal Year 2015)
Budget Amount *help
¥5,200,000 (Direct Cost: ¥4,000,000、Indirect Cost: ¥1,200,000)
Fiscal Year 2015: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2014: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2013: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2012: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Keywordsアルゴリズム理論 / 安定マッチング / 近似アルゴリズム / 安定結婚問題 / 研修医配属問題 / オンラインアルゴリズム / 計算困難性 / 近似困難性 / 電力供給マッチング / 近似度 / 同順位リスト / 不完全リスト / Gale-Shapleyアルゴリズム / NP完全 / アドバイス複雑度 / 耐戦略性 / NP困難性 / 貪欲アルゴリズム / NP困難 / APX困難
Outline of Final Research Achievements

The stable matching problem is a problem of finding a matching having a property called the "stability". It is widely used in several centralized matching systems, such as hospitals-residents matching, college admission, and laboratory assignment. In this research, we considered several models of stable matching problem with practical conditions, and developed algorithms, showed approximability, and proved intractability for each such model. The models include the student-project allocation problem, the stable marriage problem with ties and incomplete preference lists, and the hospitals/residents problem with lower quotas.

Report

(5 results)
  • 2015 Annual Research Report   Final Research Report ( PDF )
  • 2014 Research-status Report
  • 2013 Research-status Report
  • 2012 Research-status Report

Research Products

(21 results)

All 2016 2015 2014 2013 2012 Other

All Int'l Joint Research (1 results) Journal Article (6 results) (of which Peer Reviewed: 6 results,  Acknowledgement Compliant: 3 results,  Open Access: 1 results) Presentation (10 results) (of which Int'l Joint Research: 2 results,  Invited: 2 results) Book (2 results) Remarks (2 results)

  • [Int'l Joint Research] Chalmers University of Technology(Sweden)

    • Related Report
      2015 Annual Research Report
  • [Journal Article] The Hospitals/Residents Problem with Lower Quotas2016

    • Author(s)
      Koki Hamada, Kazuo Iwama, Shuichi Miyazaki
    • Journal Title

      Algorithmica

      Volume: 74(1) Pages: 440-465

    • DOI

      10.1007/s00453-014-9951-z

    • NAID

      120006338070

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Finding Witnesses for Stability in the Hospitals/Residents Problem2015

    • Author(s)
      Minseon Lee, Shuichi Miyazaki, and Kazuo Iwama
    • Journal Title

      Journal of Information Processing

      Volume: Vol. 23, No. 2 Issue: 2 Pages: 202-209

    • DOI

      10.2197/ipsjjip.23.202

    • NAID

      130004952417

    • ISSN
      1882-6652
    • Related Report
      2014 Research-status Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] On the advice complexity of online bipartite matching and online stable marriage2014

    • Author(s)
      Shuichi Miyazaki
    • Journal Title

      Information Processing Letters

      Volume: Vol.114, Issue 12 Pages: 714-717

    • DOI

      10.1016/j.ipl.2014.06.013

    • NAID

      120006338059

    • Related Report
      2014 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] A 25/17-Approximation Algorithm for the Stable Marriage Problem with One-Sided Ties2014

    • Author(s)
      Kazuo Iwama, Shuichi Miyazaki, and Hiroki Yanagisawa
    • Journal Title

      Algorithmica

      Volume: Volume 68, Issue 3 Pages: 758-775

    • DOI

      10.1007/s00453-012-9699-2

    • NAID

      120006338068

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] Improving Man-Optimal Stable Matchings by Minimum Change of Preference Lists2013

    • Author(s)
      Takao Inoshita, Robert W. Irving, Kazuo Iwama, Shuichi Miyazaki, Takashi Nagase
    • Journal Title

      Algorithms

      Volume: Vol. 6, Issue 2 Pages: 371-382

    • DOI

      10.3390/a6020371

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] Improved approximation bounds for the Student-Project Allocation problem with preferences over projects2012

    • Author(s)
      Kazuo Iwama, Shuichi Miyazaki, Hiroki Yanagisawa
    • Journal Title

      Journal of Discrete Algorithms

      Volume: 13 Pages: 59-66

    • DOI

      10.1016/j.jda.2012.02.001

    • NAID

      120006338072

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Presentation] 整数計画を用いたシュタイナー木詰め込み問題の解法とその実験的評価2015

    • Author(s)
      大月 仁志, 森本 尚之, 宮崎 修一, 岡部 寿男
    • Organizer
      平成27年度情報処理学会関西支部支部大会
    • Place of Presentation
      大阪大学中之島センター,大阪府大阪市
    • Year and Date
      2015-09-28
    • Related Report
      2015 Annual Research Report
  • [Presentation] 割当制約つき複数ナップサック問題に対する近似アルゴリズムの実験的評価2015

    • Author(s)
      藤井 海斗, 森本 尚之, 宮崎 修一, 岡部 寿男
    • Organizer
      平成27年度情報処理学会関西支部支部大会
    • Place of Presentation
      大阪大学中之島センター,大阪府大阪市
    • Year and Date
      2015-09-28
    • Related Report
      2015 Annual Research Report
  • [Presentation] A Tight Approximation Bound for the Stable Marriage Problem with Restricted Ties2015

    • Author(s)
      Chien-Chung Huang, Kazuo Iwama, Shuichi Miyazaki, Hiroki Yanagisawa
    • Organizer
      18th International Workshop on Approximation Algorithms for Combinatorial Optimization Problems (APPROX 2015)
    • Place of Presentation
      Princeton University, Princeton, USA
    • Year and Date
      2015-08-24
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Approximability of Two Variants of Multiple Knapsack Problems2015

    • Author(s)
      Shuichi Miyazaki, Naoyuki Morimoto and Yasuo Okabe
    • Organizer
      9th International Conference on Algorithms and Complexity (CIAC 2015)
    • Place of Presentation
      Paris-Dauphine University, Paris, France
    • Year and Date
      2015-05-20
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 近似アルゴリズムと安定マッチング2014

    • Author(s)
      宮崎修一
    • Organizer
      京都大学経済研究所 ミクロ・ゲーム理論研究会
    • Place of Presentation
      京都大学経済研究所(京都府京都市)
    • Year and Date
      2014-04-03
    • Related Report
      2014 Research-status Report
  • [Presentation] 希望リスト変更による男性最良安定マッチングの改善2013

    • Author(s)
      井下貴雄, Robert W. Irving, 宮崎修一, 岩間一雄, 永瀬高志,
    • Organizer
      電子情報通信学会2013年総合大会
    • Place of Presentation
      岐阜大学
    • Related Report
      2012 Research-status Report
  • [Presentation] Improving Man-Optimal Stable Matchings by Minimum Change of Preference Lists

    • Author(s)
      Takao Inoshita, Robert W. Irving, Kazuo Iwama, Shuichi Miyazaki, Takashi Nagase
    • Organizer
      6th Asian Association for Algorithms and Computation (AAAC)
    • Place of Presentation
      宮城県松島市
    • Related Report
      2013 Research-status Report
  • [Presentation] 安定マッチング問題に対するアルゴリズム論的アプローチ

    • Author(s)
      宮崎修一
    • Organizer
      Summer Workshop on Economic Theory (SWET 2013)
    • Place of Presentation
      北海道札幌市
    • Related Report
      2013 Research-status Report
    • Invited
  • [Presentation] Finding Witnesses for Stability in the Hospitals/Residents Problem

    • Author(s)
      Minseon Lee, Shuichi Miyazaki, and Kazuo Iwama
    • Organizer
      平成25年度情報処理学会関西支部支部大会
    • Place of Presentation
      大阪府大阪市
    • Related Report
      2013 Research-status Report
  • [Presentation] 安定マッチング問題に対する近似アルゴリズム

    • Author(s)
      宮崎修一
    • Organizer
      第25回RAMPシンポジウム
    • Place of Presentation
      鹿児島県鹿児島市
    • Related Report
      2013 Research-status Report
    • Invited
  • [Book] グラフ理論入門 ~基本とアルゴリズム~2015

    • Author(s)
      宮崎修一
    • Total Pages
      112
    • Publisher
      森北出版株式会社
    • Related Report
      2015 Annual Research Report
  • [Book] Handbook of Graph Theory, Combinatorial Optimization, and Algorithms (17章のStable Marriage Problemを担当)2015

    • Author(s)
      Shuichi Miyazaki
    • Total Pages
      1226
    • Publisher
      CRC Press
    • Related Report
      2015 Annual Research Report
  • [Remarks] 業績リスト

    • URL

      http://www.lab2.kuis.kyoto-u.ac.jp/~shuichi/paper.html

    • Related Report
      2015 Annual Research Report 2014 Research-status Report
  • [Remarks]

    • URL

      http://www.lab2.kuis.kyoto-u.ac.jp/~shuichi/paper.html

    • Related Report
      2012 Research-status Report

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Published: 2013-05-31   Modified: 2019-07-29  

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