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Mathematical programming approaches to robust optimization problems

Research Project

Project/Area Number 24650004
Research Category

Grant-in-Aid for Challenging Exploratory Research

Allocation TypeMulti-year Fund
Research Field Fundamental theory of informatics
Research InstitutionNagoya University

Principal Investigator

Yagiura Mutsunori  名古屋大学, 情報科学研究科, 教授 (10263120)

Research Collaborator WU Wei  名古屋大学, 大学院情報科学研究科, 博士課程後期課程
MARTELLO Silvano  University of Bologna, Professor
IORI Manuel  University of Modena and Reggio Emilia, Associate Professor
FURINI Fabio  Université Paris Dauphine, Assistant Professor
Project Period (FY) 2012-04-01 – 2016-03-31
Project Status Completed (Fiscal Year 2015)
Budget Amount *help
¥3,900,000 (Direct Cost: ¥3,000,000、Indirect Cost: ¥900,000)
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: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Keywords組合せ最適化 / ロバスト最適化 / 厳密解法 / 発見的解法 / 発見的手法
Outline of Final Research Achievements

Many real-world problems can be formulated as combinatorial optimization problems. Although most of them are know to be NP-hard, there exist many algorithms that obtain good quality solutions in reasonable computation time. However, most of such optimization methods are based on the assumption that input data are known a priori and are fixed. On the other hand, input data are often ambiguous and uncertain. We developed several exact and heuristic algorithms to obtain solutions that are robust to such uncertainty, for a representative combinatorial optimization problem called the 0-1 knapsack problem, and we confirmed that the proposed algorithms output good solutions in reasonable computation time.

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

    (11 results)

All 2015 2014 2013 2012 Other

All Int'l Joint Research (2 results) Journal Article (2 results) (of which Int'l Joint Research: 1 results,  Peer Reviewed: 2 results,  Acknowledgement Compliant: 1 results) Presentation (7 results) (of which Invited: 1 results)

  • [Int'l Joint Research] ボローニャ大学/University of Modena and Reggio Emilia(イタリア)

    • Related Report
      2015 Annual Research Report
  • [Int'l Joint Research] Universite Paris Dauphine(フランス)

    • Related Report
      2015 Annual Research Report
  • [Journal Article] Heuristic and Exact Algorithms for the Interval Min-Max Regret Knapsack Problem2015

    • Author(s)
      F. Furini, M. Iori, S. Martello and M. Yagiura
    • Journal Title

      INFORMS Journal on Computing

      Volume: 27 Issue: 2 Pages: 392-405

    • DOI

      10.1287/ijoc.2014.0632

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Enumerating Bottom-Left Stable Positions for Rectangle Placements with Overlap2014

    • Author(s)
      S. Imahori, Y. Chien, Y. Tanaka and M. Yagiura
    • Journal Title

      Journal of the Operations Research Society of Japan

      Volume: 57 Pages: 45-61

    • NAID

      110009815932

    • Related Report
      2014 Research-status Report
    • Peer Reviewed
  • [Presentation] An efficient method for checking overlaps and construction algorithms for the bitmap shape packing problem2014

    • Author(s)
      S. Fukatsu, Y. Hu, H. Hashimoto, S. Imahori and M. Yagiura
    • Organizer
      IEEE International Conference on Industrial Engineering and Engineering Management
    • Place of Presentation
      Selangor, Malaysia
    • Year and Date
      2014-12-09 – 2014-12-12
    • Related Report
      2014 Research-status Report
  • [Presentation] Algorithms for the min-max regret generalized assignment problem with interval data2014

    • Author(s)
      W. Wu, M. Iori, S. Martello and M. Yagiura
    • Organizer
      IEEE International Conference on Industrial Engineering and Engineering Management
    • Place of Presentation
      Selangor, Malaysia
    • Year and Date
      2014-12-09 – 2014-12-12
    • Related Report
      2014 Research-status Report
  • [Presentation] 実践的問題解決のためのメタヒューリスティクス2014

    • Author(s)
      柳浦睦憲
    • Organizer
      日本オペレーションズ・リサーチ学会 第72回シンポジウム
    • Place of Presentation
      札幌
    • Year and Date
      2014-08-27
    • Related Report
      2014 Research-status Report
    • Invited
  • [Presentation] Heuristic and exact algorithms for the interval min-max regret generalized assignment problem2014

    • Author(s)
      W. Wu and M. Yagiura
    • Organizer
      日本オペレーションズ・リサーチ学会2014年春期研究発表会
    • Place of Presentation
      大阪
    • Related Report
      2013 Research-status Report
  • [Presentation] Min-max criteria on the generalized assignment problem2013

    • Author(s)
      呉偉,柳浦睦憲
    • Organizer
      都市のORワークショップ
    • Place of Presentation
      名古屋
    • Related Report
      2013 Research-status Report
  • [Presentation] Heuristic and exact algorithms for the interval min-max regret knapsack problem2012

    • Author(s)
      F. Furini, M. Iori, S. Martello, M. Yagiura
    • Organizer
      ECCO 2012 - 25th Conference of European Chapter on Combinatorial Optimization
    • Place of Presentation
      Turkey
    • Related Report
      2012 Research-status Report
  • [Presentation] Heuristic and exact algorithms for the interval min-max regret generalized assignment problem

    • Author(s)
      呉偉,柳浦睦憲
    • Organizer
      愛知OR研究交流会
    • Place of Presentation
      名古屋市
    • Related Report
      2012 Research-status Report

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

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