• Search Research Projects
  • Search Researchers
  • How to Use
  1. Back to previous page

Mathematical Analysis of Search Problems on Finite Graphs

Research Project

Project/Area Number 23510177
Research Category

Grant-in-Aid for Scientific Research (C)

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

Principal Investigator

KIKUTA Kensaku  兵庫県立大学, 経営学部, 教授 (30126487)

Co-Investigator(Kenkyū-buntansha) KINIWA Jun  兵庫県立大学, 経済学部, 教授 (90177882)
Project Period (FY) 2011 – 2013
Project Status Completed (Fiscal Year 2013)
Budget Amount *help
¥5,200,000 (Direct Cost: ¥4,000,000、Indirect Cost: ¥1,200,000)
Fiscal Year 2013: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2012: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
Fiscal Year 2011: ¥1,950,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥450,000)
Keywords探索理論 / 最適戦略 / ゼロ和ゲーム / システム工学 / ネットワーク / 数理工学 / モデル化 / ゲーム理論
Research Abstract

In a search problem on a finite graph, we calculated the value of the game and found the optimal strategies by mathematical analysis in the case where the initial position of the searcher has not been identified. In addition, by thinking in a comprehensive manner search problems on a graph, we applied the core of a cooperative game, considering the redistribution of savings of search costs through consolidation. We started a new analysis of a search problem with a non-additive cost. On the other hand, we formulated as a two-person zero-sum game with multi-steps a reconnaissance problem between the terrorist and the transport ship with an application to fault-finding in a distributed system. Transport ship is equipped with a reconnaissance boat to discover and remove the mines, and it must determine when to issue a reconnaissance boat so that the cost is smaller. We considered two cases, depending on how and when the terrorist sets the mine.

Report

(4 results)
  • 2013 Annual Research Report   Final Research Report ( PDF )
  • 2012 Research-status Report
  • 2011 Research-status Report
  • Research Products

    (38 results)

All 2014 2013 2012 2011 Other

All Journal Article (12 results) (of which Peer Reviewed: 8 results) Presentation (23 results) (of which Invited: 3 results) Book (2 results) Remarks (1 results)

  • [Journal Article] Search games on networks with travelling and search costs and with arbitrary searcher starting points2013

    • Author(s)
      V. Baston and K. Kikuta
    • Journal Title

      Networks

      Volume: Vol. 62 Pages: 216-226

    • Related Report
      2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] Effective search for a naval mine with application to distributed failure detection2013

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

      Search Theory : A Game Theoretic Perspective, S. Alpern, R. Fokkink, L. Gsieniec, R. Lindelauf and V. S. Subrahmanian(eds.), (Springer)

      Pages: 119-134

    • Related Report
      2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] Open problems on search games2013

    • Author(s)
      R. Fokkink, L. Geupel and K. Kikuta
    • Journal Title

      Search Theory : A Game Theoretic Perspective, S. Alpern, R. Fokkink, L. Gsieniec, R. Lindelauf and V. S. Subrahmanian(eds.), (Springer)

      Pages: 75-81

    • Related Report
      2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] A search game with unknown examination costs and travel times2013

    • Author(s)
      K. Kikuta
    • Journal Title

      Asia-Pacific Journal of Operations Research

      Volume: 31 Issue: 03 Pages: 1450013-1450013

    • DOI

      10.1142/s0217595914500134

    • Related Report
      2013 Annual Research Report 2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] On an operations research game related to a search problem on a linear graph2013

    • Author(s)
      菊田健作
    • Journal Title

      京都大学数理解析研究所講究録

      Volume: 1864 Pages: 90-99

    • Related Report
      2013 Annual Research Report 2013 Final Research Report
  • [Journal Article] Marginal worth vectors for TU games2013

    • Author(s)
      菊田健作
    • Journal Title

      京都大学数理解析研究所講究録

      Volume: 1857 Pages: 30-40

    • Related Report
      2013 Annual Research Report 2013 Final Research Report
  • [Journal Article] Search games on networks with travelling and search costs and with arbitrary searcher starting points.2013

    • Author(s)
      Vic Baston and Kensaku Kikuta
    • Journal Title

      Networks

      Volume: 62 Issue: 1 Pages: 216-226

    • DOI

      10.1002/net.21504

    • Related Report
      2013 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Effective search for a naval mine with application to distributed failure detection2013

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

      Search Theory: A Game Theoretic Perspective, S.Alpern, R.Fokkink, L.Gsieniec, R.Lindelauf and V.S.Subrahmanian(eds.), Springer,

      Volume: Search Theory, Springer Pages: 119-134

    • DOI

      10.1007/978-1-4614-6825-7_8

    • ISBN
      9781461468240, 9781461468257
    • Related Report
      2013 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Open problems on search games2013

    • Author(s)
      R.Fokkink, L.Geupel and K.Kikuta
    • Journal Title

      Search Theory: A Game Theoretic Perspective, S.Alpern, R.Fokkink, L.Gsieniec, R.Lindelauf and V.S.Subrahmanian(eds.),Springer

      Volume: Search Theory, Springer Pages: 75-81

    • DOI

      10.1007/978-1-4614-6825-7_5

    • ISBN
      9781461468240, 9781461468257
    • Related Report
      2013 Annual Research Report
  • [Journal Article] グラフ上の探索問題の合成について2012

    • Author(s)
      菊田健作
    • Journal Title

      京都大学数理解析研究所講究録

      Volume: 1802 Pages: 153-158

    • Related Report
      2013 Final Research Report 2012 Research-status Report
  • [Journal Article] Price stabilization in networks - what is an appropriate model ?2011

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

      X. Defago, F. Petit, and V. Villain (eds.) : SSS 2011

      Volume: LNCS 6976 Pages: 283-295

    • Related Report
      2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] Price stabilization in networks --- what is an appropriate model ?2011

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

      Lecture Notes in Computer Science,X.Defago, F.Petit, and V.Villain (eds.): SSS 2011

      Volume: LNCS 6976 Pages: 283-295

    • Related Report
      2011 Research-status Report
    • Peer Reviewed
  • [Presentation] A search game on a finite graph with arbitrary searcher starting points2014

    • Author(s)
      V. Baston and K. Kikuta
    • Organizer
      26TH EUROPIAN CONFERENCE ON OPERATIONAL RESEARCH, EURO/INFORMS (International Federation of Operational Research Societies)「Search Game II」
    • Place of Presentation
      ローマ大学、イタリア
    • Year and Date
      2014-07-03
    • Related Report
      2013 Final Research Report
    • Invited
  • [Presentation] 協力ゲームの解と意思決定2014

    • Author(s)
      菊田健作
    • Organizer
      愛知大学経営学会主催ワークショップ「数理的意思決定モデルの新たな展開と応用」
    • Place of Presentation
      愛知大学名古屋校舎厚生棟3階会議室(W31)
    • Year and Date
      2014-02-22
    • Related Report
      2013 Final Research Report
  • [Presentation] A search game on a finite graph with arbitrary searcher starting points2013

    • Author(s)
      菊田健作
    • Organizer
      数理解析研究所研究集会
    • Year and Date
      2013-11-13
    • Related Report
      2013 Final Research Report
  • [Presentation] 有限ネットワーク上の探索問題の数理的解析~所在が不明あるいは不確実なものを効率的に探す~2013

    • Author(s)
      菊田健作
    • Organizer
      兵庫県立大学シンポジウム― 経済再生に向けた産学公連携の新たな取り組み!! ―
    • Place of Presentation
      神戸市産業振興センター
    • Year and Date
      2013-09-24
    • Related Report
      2013 Final Research Report
  • [Presentation] ネットワーク上の探索問題2013

    • Author(s)
      菊田健作
    • Organizer
      日本オペレーションズ・リサーチ学会研究部会「不確実性システムにおける意思決定」研究部会
    • Year and Date
      2013-06-15
    • Related Report
      2013 Final Research Report
  • [Presentation] Marginal worth vectors for TU games2013

    • Author(s)
      菊田健作
    • Organizer
      「決定過程に関わる数理モデルの新たな展開と応用」京都大学数理解析研究所研究集会
    • Year and Date
      2013-02-18
    • Related Report
      2013 Final Research Report
  • [Presentation] A merger of search games on a finite graph2012

    • Author(s)
      菊田健作
    • Organizer
      ドイツ・オペレーションズ・リサーチ学会主催の国際会議 OR2012
    • Place of Presentation
      ハノーバー大学,ドイツ
    • Year and Date
      2012-09-06
    • Related Report
      2013 Final Research Report
    • Invited
  • [Presentation] Effective search for a naval mine with application to distributed failure detection2012

    • Author(s)
      J. Kiniwa, K. Kikuta and T. Hamada
    • Organizer
      Search and Rendezvous
    • Place of Presentation
      Lorentz Center, Leiden, Netherlands
    • Year and Date
      2012-05-01
    • Related Report
      2013 Final Research Report
  • [Presentation] ある探索問題について2011

    • Author(s)
      菊田健作
    • Organizer
      日本オペレーションズ・リサーチ学会研究部会「確率最適化モデルとその応用」第5回研究会、第6回 DP 部会研究会
    • Year and Date
      2011-09-06
    • Related Report
      2013 Final Research Report
  • [Presentation] A Search Problem on a Finite Network with Traveling and Examination Costs2011

    • Author(s)
      K. Kikuta
    • Organizer
      IFORS (International Federation of Operational Research Societies) 主催の国際会議 IFORS2011
    • Place of Presentation
      メルボルン・コンベンション・センター、オーストラリア
    • Year and Date
      2011-07-12
    • Related Report
      2013 Final Research Report
    • Invited
  • [Presentation] A Search Problem on a Finite Network with Traveling and Examination Costs2011

    • Author(s)
      Kensaku Kikuta
    • Organizer
      IFORS(International Federation of Operational Research Societies)2011
    • Place of Presentation
      メルボルン・コンベンション・センター(オーストラリア)
    • Related Report
      2011 Research-status Report
  • [Presentation] ある探索問題について2011

    • Author(s)
      菊田健作
    • Organizer
      日本オペレーションズ・リサーチ学会研究部会「確率最適化モデルとその応用」第5回研究会、第6回DP部会研究会
    • Place of Presentation
      千葉大学西千葉キャンパス(千葉県)
    • Related Report
      2011 Research-status Report
  • [Presentation] グラフ上の探索問題の合成について2011

    • Author(s)
      菊田健作
    • Organizer
      京都大学数理解析研究所研究集会「不確実・不確定環境下における数理的意思決定とその周辺」
    • Place of Presentation
      京都大学数理解析研究所(京都府)
    • Related Report
      2011 Research-status Report
  • [Presentation] A search game on a finite graph with arbitrary searcher starting points

    • Author(s)
      V.Baston and K.Kikuta
    • Organizer
      26TH EUROPIAN CONFERENCE ON OPERATIONAL RESEARCH, EURO/INFORMS (International Federation of Operational Research Societies)
    • Place of Presentation
      Sapienza University of Rome, Rome, Italy
    • Related Report
      2013 Annual Research Report
  • [Presentation] 探索者が初期位置を選ぶことができるようなグラフ上の探索問題

    • Author(s)
      菊田 健作
    • Organizer
      RIMS研究集会「不確実性の下での数理的意思決定の理論と応用」
    • Place of Presentation
      京都大学数理解析研究所
    • Related Report
      2013 Annual Research Report
  • [Presentation] 最適化問題への協力ゲームの関わり

    • Author(s)
      菊田健作
    • Organizer
      日本オペレーションズ・リサーチ学会研究部会「不確実性環境下での意思決定科学」研究会
    • Place of Presentation
      甲南大学岡本キャンパス 兵庫県
    • Related Report
      2012 Research-status Report
  • [Presentation] Effective search for a naval mine with application to distributed failure detection

    • Author(s)
      J.Kiniwa, K.Kikuta and T.Hamada
    • Organizer
      Workshop:Search and Rendezvous,
    • Place of Presentation
      Lorentz Center, Leiden, Netherlands オランダ
    • Related Report
      2012 Research-status Report
  • [Presentation] A merger of search games on a finite graph

    • Author(s)
      菊田健作
    • Organizer
      ドイツ・オペレーションズ・リサーチ学会主催の国際会議OR2012
    • Place of Presentation
      ハノーバー大学,ドイツ
    • Related Report
      2012 Research-status Report
  • [Presentation] 分散システム故障回復への応用を考慮した効率的機雷探索

    • Author(s)
      木庭淳、菊田健作
    • Organizer
      2012年日本オペレーションズ・リサーチ学会秋季研究発表会
    • Place of Presentation
      ウインクあいち 愛知県
    • Related Report
      2012 Research-status Report
  • [Presentation] リニアグラフ上の探索問題の合成について

    • Author(s)
      菊田健作
    • Organizer
      京都大学数理解析研究所研究集会「確率的環境下における意思決定解析」
    • Place of Presentation
      京都大学数理解析研究所 京都府
    • Related Report
      2012 Research-status Report
  • [Presentation] グラフ上の探索問題と協力による節約

    • Author(s)
      菊田健作
    • Organizer
      2013年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
      東京大学本郷キャンパス 東京都
    • Related Report
      2012 Research-status Report
  • [Presentation] Marginal worth vectors for TU-games

    • Author(s)
      菊田健作
    • Organizer
      京都大学数理解析研究所研究集会「決定過程に関わる数理モデルの新たな展開と応用」
    • Place of Presentation
      京都大学数理解析研究所 京都府
    • Related Report
      2012 Research-status Report
  • [Presentation] 協力ゲームのシャプレー値の変形

    • Author(s)
      菊田健作
    • Organizer
      日本オペレーションズ・リサーチ学会研究部会「確率最適化モデルとその応用」研究会
    • Place of Presentation
      芝浦工業大学SIT総合研究所佃イノベーションスクエア 東京都
    • Related Report
      2012 Research-status Report
  • [Book] 文科系のゲーム理論2012

    • Author(s)
      菊田健作
    • Total Pages
      172
    • Publisher
      牧野書店
    • Related Report
      2013 Final Research Report
  • [Book] 文科系のゲーム理論入門2012

    • Author(s)
      菊田健作
    • Total Pages
      172
    • Publisher
      牧野書店
    • Related Report
      2011 Research-status Report
  • [Remarks] ホームページ等 Kikuta, K. and Fokkink, R. A note on the high-low search problem

    • URL

      http://www.lorentzcenter.nl/lc/web/2012/506/presentations/index.php3?wsid=506&type=presentations&venue=Oort

    • Related Report
      2013 Final Research Report

URL: 

Published: 2011-08-05   Modified: 2019-07-29  

Information User Guide FAQ News Terms of Use Attribution of KAKENHI

Powered by NII kakenhi