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Mathematical Studies on Optimal Decisions for Search Problems on Finite Graphs

Research Project

Project/Area Number 17510131
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Social systems engineering/Safety system
Research InstitutionUniversity of Hyogo

Principal Investigator

KIKUTA Kensaku  University of Hyogo, School of Business Administration, Professor (30126487)

Co-Investigator(Kenkyū-buntansha) KINIWA Jun  University of Hyogo, School of Economics, Professor (90177882)
Project Period (FY) 2005 – 2007
Project Status Completed (Fiscal Year 2007)
Budget Amount *help
¥3,730,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥330,000)
Fiscal Year 2007: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2006: ¥1,100,000 (Direct Cost: ¥1,100,000)
Fiscal Year 2005: ¥1,200,000 (Direct Cost: ¥1,200,000)
KeywordsSearch Problem / Game Theory / Optimal Strategy / Two-Person Game / Analytical Method / Distributed System / Network / システム工学 / ランデブー探索 / 最小点被覆集合 / 自己安定近似アルゴリズム
Research Abstract

In this project, we studied mathematically four models related to and around search problems.
(1) Search problems with switching cost and examination cost,
(2) The quiet accumulation game on a finite graph,
(3) Rendezvous search on a graph,
(4) distributed system.
For the model (1), we have studied optimal strategies of the seeker when the underlying graph is complete, and the examination costs and switching costs are high or low. We gave a talk at the annual meeting of the Operations Research Society of Japan. For the model (2), a paper has been published in which the underlying graph is linear and we gave bounds for the game value, and we studied in detail when the number of nodes is small. For the model (3), we studied rendezvous search on a star graph, and a paper has been published. For (4), we gave a talk at an international meeting.

Report

(4 results)
  • 2007 Annual Research Report   Final Research Report Summary
  • 2006 Annual Research Report
  • 2005 Annual Research Report
  • Research Products

    (43 results)

All 2008 2007 2006 2005 Other

All Journal Article (25 results) (of which Peer Reviewed: 2 results) Presentation (18 results)

  • [Journal Article] 移動費用を考慮した探索問題における最適な探索順序の探求2008

    • Author(s)
      菊田 健作
    • Journal Title

      日本OR学会2008年春季研究発表会アブヌドヲクト集

      Pages: 70-71

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Journal Article] Rendezvous Search on a Star Graph with Examination Costs2007

    • Author(s)
      K.Kikuta and W.Ruckle
    • Journal Title

      European Journal of Operational Research 181

      Pages: 298-304

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
    • Peer Reviewed
  • [Journal Article] The Quiet Accumulation Game of a Linear Graph: A Special Case2007

    • Author(s)
      K.Kikuta and W.Ruckle
    • Journal Title

      I Game Theory and Applications 12

      Pages: 59-77

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Journal Article] 直線上あるいは空間での探索ゲーム2007

    • Author(s)
      菊田 健作
    • Journal Title

      数理解析研究所講究録 1548

      Pages: 71-76

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Annual Research Report 2007 Final Research Report Summary
  • [Journal Article] Rendezvous Search on a Star Graph with Examination Costs.2007

    • Author(s)
      K. Kikuta, W. Ruckle
    • Journal Title

      European Journal of Operational Research 181

      Pages: 298-304

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Journal Article] The Quiet Accumulation Game of a Linear Graph : A Special Case2007

    • Author(s)
      K. Kikuta, W. RuckIe
    • Journal Title

      Game Theory and Applications(Nova Science Publishers) Chapter12

      Pages: 59-77

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Journal Article] Search Game of Line and Space(in Japanese)2007

    • Author(s)
      K. Kikuta
    • Journal Title

      RIMS Kokyuroku 1548

      Pages: 71-76

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Journal Article] Rendezvous Search on a Star Graph with Examination Costs2007

    • Author(s)
      K. Kikuta and W. Ruckle
    • Journal Title

      European Journal of Operational Research 181

      Pages: 298-304

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] The Quiet Accumulation Game of a Linear Graph: A Special Case2007

    • Author(s)
      K. Kikuta and W. Ruckle
    • Journal Title

      Game Theory and Applications 12

      Pages: 59-77

    • Related Report
      2007 Annual Research Report
  • [Journal Article] Rendezvous search on a star graph with examination costs2007

    • Author(s)
      菊田健作, W. Ruckle
    • Journal Title

      European Journal of Operational Research 181

      Pages: 298-304

    • Related Report
      2006 Annual Research Report
  • [Journal Article] A Rendezvous Search on a Linear Graph2006

    • Author(s)
      菊田 健作
    • Journal Title

      数理解析研究所講究録 1477

      Pages: 20-27

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Journal Article] Star Graph上のランデブー探索2006

    • Author(s)
      菊田 健作
    • Journal Title

      日本OR学会2006年秋季研究発表会アブストラクト集

      Pages: 228-229

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Journal Article] An efficient and self-stabilizing link formation algorithm2006

    • Author(s)
      木庭 淳、菊田 健作
    • Journal Title

      日本OR学会2006年秋季研究発表会アブストラクト集

      Pages: 112-113

    • NAID

      110004823537

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Journal Article] A Rendezvous Search on a Linear Graph2006

    • Author(s)
      K. Kikuta
    • Journal Title

      RIMS Kokyuroku 1477

      Pages: 20-27

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Journal Article] Rendezvous Search on a Star Graph(in Japanese)2006

    • Author(s)
      K. Kikuta
    • Journal Title

      Abstracts of The 2006 Fall National Conference of Operations Research Society of Japan

      Pages: 228-229

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Journal Article] An Efficient and Self-Stabilizing Link Formation Algorithm2006

    • Author(s)
      J. Kiniwa, K. Kikuta
    • Journal Title

      Abstracts of : The 2006 Fall National Conference of Operations Research Society of Japan

      Pages: 112-113

    • NAID

      110004823537

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Journal Article] Star Graph上のランデブー探索2006

    • Author(s)
      菊田健作
    • Journal Title

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

      Pages: 228-229

    • Related Report
      2006 Annual Research Report
  • [Journal Article] Brief announcement : An efficient and self-stabilizing link formation algorithm2006

    • Author(s)
      Jun Kiniwa, Kensaku Kikuta
    • Journal Title

      A.K. Datta and M. Gradinariu (Eds.) : SSS 2006 LNCS 4280

      Pages: 580-581

    • Related Report
      2006 Annual Research Report
  • [Journal Article] An efficient and self-stabilizing link formation algorithm2006

    • Author(s)
      Jun Kiniwa, Kensaku Kikuta
    • Journal Title

      電子情報通信学会技術研究報告 Vol.106,No.258

    • NAID

      110004823537

    • Related Report
      2006 Annual Research Report
  • [Journal Article] Rendezvous Search with Examination Cost on a Finite Graph2005

    • Author(s)
      菊田 健作
    • Journal Title

      数理解析研究所講究録 1457

      Pages: 78-85

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Journal Article] Search Problems with Examination Cost2005

    • Author(s)
      W.Ruckle, 菊田 健作
    • Journal Title

      日本OR学会2005年秋季研究発表会アブストラクト集

      Pages: 4-5

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Journal Article] Rendezvous Search with Examination Cost on a Finite Graph2005

    • Author(s)
      W. Ruckle, K.Kikuta
    • Journal Title

      RIMS Kokyuroku 1457

      Pages: 78-85

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Journal Article] Search Problems with Examination Cost(in Japanese)2005

    • Author(s)
      W. Ruckle, K. Kikuta
    • Journal Title

      Abstracts of : The 2005 Fall National Conference of Operations Research Society of Japan

      Pages: 4-5

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Journal Article] Search Problems with Examination Cost2005

    • Author(s)
      W.Ruckle, 菊田健作
    • Journal Title

      日本オペレーションズ・リサーチ学会2005年度秋季研究発表会アブストラクト集

      Pages: 4-5

    • Related Report
      2005 Annual Research Report
  • [Journal Article] Approximation of self-stabilizing vertex cover less than 22005

    • Author(s)
      Jun Kiniwa
    • Journal Title

      proceedings of the 7^<th> International Symposium on Self-Stabilizing Systems LNCS:3764

      Pages: 171-182

    • NAID

      110003503011

    • Related Report
      2005 Annual Research Report
  • [Presentation] 移動費用を考慮した探索問題における最適な探索順序の探求2008

    • Author(s)
      菊田 健作
    • Organizer
      2008年度日本OR学会春季研究発表会
    • Place of Presentation
      京都コンピュータ学院京都駅前校
    • Year and Date
      2008-03-25
    • Related Report
      2007 Annual Research Report
  • [Presentation] 簡単なグラフ上のランデブー探索問題2007

    • Author(s)
      菊田 健作
    • Organizer
      研究集会「不確実な状況における意思決定の理論と応用」
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2007-11-13
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Annual Research Report 2007 Final Research Report Summary
  • [Presentation] 順序付けと探索の問題2007

    • Author(s)
      菊田 健作
    • Organizer
      日本OR学会「不確実性環境下での意思決定の理論と応用」研究部会
    • Place of Presentation
      大阪大学
    • Year and Date
      2007-11-10
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Annual Research Report 2007 Final Research Report Summary
  • [Presentation] 2種類の調査費用をもつ探索問題2007

    • Author(s)
      菊田 健作
    • Organizer
      第11回計画数学関係研究集会「数理的決定モデルの展開」
    • Place of Presentation
      金沢学院大学
    • Year and Date
      2007-10-12
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Annual Research Report 2007 Final Research Report Summary
  • [Presentation] The hiding in a disc game2007

    • Author(s)
      菊田 健作
    • Organizer
      22nd European Conference on Operational Resear ch
    • Place of Presentation
      University of Economics,Prague、チェコ
    • Year and Date
      2007-07-10
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] The hiding in a disc game2007

    • Author(s)
      菊田 健作
    • Organizer
      22nd European Conference on Operational Research
    • Place of Presentation
      University of Economics,Prague、チェコ
    • Year and Date
      2007-07-10
    • Related Report
      2007 Annual Research Report
  • [Presentation] The hiding in a disc game2007

    • Author(s)
      K. Kikuta
    • Organizer
      22nd European Conference on Operational Research
    • Place of Presentation
      University of Economics, Prague
    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] 全体合理性を満たした自己安定的リンク形成アルゴリズム2006

    • Author(s)
      木庭 淳
    • Organizer
      甲南大学知的情報通信研究所第1チーム、第6チーム、日本OR学会「情報ネットワーク性能評価」研究部会第3回合同シンポジウム
    • Place of Presentation
      甲南大学
    • Year and Date
      2006-12-27
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] ambushゲームとその周辺2006

    • Author(s)
      菊田 健作
    • Organizer
      愛知大学経営学会ワークショップ「オペレーションズ、リサーチの諸相と最近の展開」
    • Place of Presentation
      愛知大学
    • Year and Date
      2006-12-01
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] 調査費用を考慮した探索問題2006

    • Author(s)
      菊田 健作
    • Organizer
      日本OR学会「不確実性理論の経営科学への応用」研究部会
    • Place of Presentation
      千葉大学
    • Year and Date
      2006-10-28
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] Search problems with examination costs2006

    • Author(s)
      菊田 健作
    • Organizer
      12th International Symposium on Dynamic Games and Applications
    • Place of Presentation
      INRIA,Sophia Antipolis,France
    • Year and Date
      2006-07-05
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] ランデブー探索について2006

    • Author(s)
      菊田 健作
    • Organizer
      日本OR学会「意思決定とOR」研究部会および日本知能情報ファジィ学会北信越支部共催研究会
    • Place of Presentation
      呉羽ハイツ
    • Year and Date
      2006-03-28
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] 自己安定システムとその頂点被覆問題への応用2006

    • Author(s)
      木庭 淳
    • Organizer
      甲南大学知的情報通信研究所「ネットワークと情報処理」第2回シンポジウム
    • Place of Presentation
      甲南大学
    • Year and Date
      2006-01-07
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] Search problems with examination costs2006

    • Author(s)
      K. Kikuta
    • Organizer
      12th International Symposium on Dynamic Games and Applications
    • Place of Presentation
      INRIA, Sophia Antipolis, France
    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] Brief announcement : An efficient and self-stabilizing link formation algorithm2006

    • Author(s)
      Jun, Kiniwa, Kensaku, Kikuta
    • Organizer
      A.K. Datta and M. Gradinariu(Eds.)
    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] Search problems on a finite graph with examination cost2005

    • Author(s)
      菊田 健作
    • Organizer
      The International Federation of Operational Research Societies 176th Triennial Conference
    • Place of Presentation
      Honolulu,USA
    • Year and Date
      2005-07-15
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] Search problems on a finite graph with examination cost2005

    • Author(s)
      K. Kikuta
    • Organizer
      The International Federation of Operational 'Research Societies 17th Triennial Conference
    • Place of Presentation
      Honolulu, USA
    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] An efficient and self-stabilizing link formation algorithm

    • Author(s)
      木庭 淳
    • Organizer
      自己安定システムに関する第8回国際シンポジウム
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary

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Published: 2005-04-01   Modified: 2016-04-21  

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