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Studies on heuristic algorithms for cutting and packing problems

Research Project

Project/Area Number 18700005
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeSingle-year Grants
Research Field Fundamental theory of informatics
Research InstitutionThe University of Tokyo

Principal Investigator

IMAHORI Shinji  The University of Tokyo, 大学院・情報理工学系研究科, 助教 (90396789)

Project Period (FY) 2006 – 2008
Project Status Completed (Fiscal Year 2008)
Budget Amount *help
¥3,770,000 (Direct Cost: ¥3,500,000、Indirect Cost: ¥270,000)
Fiscal Year 2008: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2007: ¥1,100,000 (Direct Cost: ¥1,100,000)
Fiscal Year 2006: ¥1,500,000 (Direct Cost: ¥1,500,000)
Keywords組合せ最適化 / アルゴリズム / 配置問題 / 近似解法 / 長方形詰込み / 多角形詰込み
Research Abstract

本研究では,代表的な組合せ最適化問題であり,実社会においてもさまざまな応用をもつ配置問題に対して,実用性の高い近似解法の設計手法について研究することを目的とした.本研究で具体的に取り扱った問題は,長方形配置問題,多角形配置問題,および配置問題と同時に現れるカッターパス計算問題であり,これらの問題に対し,発見的解法やメタ戦略アルゴリズムの設計を行い,その計算効率と近似精度に関する理論的解析と,計算機実験による実用性の評価を行った.その結果,本研究で提案した近似解法が,既存手法と比較してより高い実用性を有すること確認された

Report

(4 results)
  • 2008 Annual Research Report   Final Research Report ( PDF )
  • 2007 Annual Research Report
  • 2006 Annual Research Report
  • Research Products

    (24 results)

All 2010 2009 2008 2007 2006

All Journal Article (5 results) (of which Peer Reviewed: 2 results) Presentation (16 results) Book (3 results)

  • [Journal Article] The Best-Fit Heuristic for the Rectangular Strip Packing Problem: An Efficient Implementation and the Worst-Case Approximation Ratio2010

    • Author(s)
      S. Imahori, M. Yagiura
    • Journal Title

      Computers and Operations Research 37

      Pages: 325-333

    • Related Report
      2008 Final Research Report
  • [Journal Article] The Best-Fit Heuristic for the Rectangular Strip Packing Problem : An Efficient Implementation and the Worst-Case Approximation Ratio2010

    • Author(s)
      Shinji Imahori, Mutsunori Yagiura
    • Journal Title

      Computers and Operations Research 37(印刷中(掲載確定))

      Pages: 325-333

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Solving the Irregular Strip Packing Problem via Guided Local Search for Overlap Minimization2009

    • Author(s)
      S. Umetani, M. Yagiura, S. Imahori, T. Imamichi, K. Nonobe, T. Ibaraki
    • Journal Title

      International Transactions in Operational Research 16

      Pages: 661-683

    • Related Report
      2008 Final Research Report
  • [Journal Article] Solving the Irregular Strip Packing Problem via Guided Local Search for Overlap Minimization2009

    • Author(s)
      S.Umetani, M.Yagiura, S.Imahori, T.Imamichi, K.Nonobe, T.Ibaraki
    • Journal Title

      International Transactions in Operational Research 16

      Pages: 661-683

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Generation of Cutter Paths for Hard Material in Wire EDM2008

    • Author(s)
      S. Imahori, M. Kushiya, T. Nakashima, K. Sugihara
    • Journal Title

      Journal of Materials Processing Technology 206

      Pages: 453-461

    • Related Report
      2008 Final Research Report
  • [Presentation] New Implementation of the Best-Fit Heuristic for Rectangle Paching and Tight Analysis on Approximation Ratio2009

    • Author(s)
      Shinji Imahori, Mutsunori Yagiura
    • Organizer
      6th ESICHP Meeting
    • Place of Presentation
      Valencia(スペイン)
    • Year and Date
      2009-03-26
    • Related Report
      2008 Annual Research Report
  • [Presentation] New Implementation of the Best-Fit Heuristic for Rectangle Packing and Tight Analysis on Approximation Ratio2009

    • Author(s)
      S. Imahori, M. Yagiura
    • Organizer
      6th ESICUP Meeting
    • Place of Presentation
      Valencia, Spain
    • Related Report
      2008 Final Research Report
  • [Presentation] Improved best-fit heuristics for rectangular strip packing and bin packing problems2008

    • Author(s)
      今堀慎治
    • Organizer
      International Symposium on Combinatorial Optimization 2008
    • Place of Presentation
      コベントリー・イギリス
    • Year and Date
      2008-03-18
    • Related Report
      2007 Annual Research Report
  • [Presentation] Improved Best-Fit Heuristics for Rectangular Strip Packing and Bin Packing Problems2008

    • Author(s)
      S. Imahori, M. Yagiura
    • Organizer
      International Symposium on Combinatorial Optimization 2008
    • Place of Presentation
      Coventry, UK
    • Related Report
      2008 Final Research Report
  • [Presentation] A Local Search Algorithm based on Overlap Minimization for the Irregular Strip Packing Problem2007

    • Author(s)
      梅谷俊治
    • Organizer
      7th Metaheuristics International Conference
    • Place of Presentation
      モントリオール・カナダ
    • Year and Date
      2007-06-28
    • Related Report
      2007 Annual Research Report
  • [Presentation] Generation of Cutter Paths for Hard Material2007

    • Author(s)
      今堀慎治
    • Organizer
      The 5th Hungarian-Japanese Symposium on Discrete Mathematics and Its Applications
    • Place of Presentation
      仙台・日本
    • Year and Date
      2007-04-04
    • Related Report
      2007 Annual Research Report
  • [Presentation] 資源の有効利用-パッキング技法の貢献-2007

    • Author(s)
      今堀慎治, 梅谷俊治, 柳浦睦憲
    • Organizer
      ミニシンポジウム新世代計算限界と地球環境問題
    • Place of Presentation
      京都
    • Related Report
      2008 Final Research Report
  • [Presentation] Generation of Cutter Paths for Hard Material2007

    • Author(s)
      S. Imahori, M. Kushiya, T. Nakashima, K. Sugihara
    • Organizer
      The First Hanyang-Tokyo Geometric Workshop
    • Place of Presentation
      Seoul, Korea
    • Related Report
      2008 Final Research Report
  • [Presentation] 大規模な長方形詰込み問題に対する実用的解法2007

    • Author(s)
      今堀慎治, 柳浦睦憲
    • Organizer
      スケジューリング・シンポジウム2007
    • Place of Presentation
      京都
    • Related Report
      2008 Final Research Report
  • [Presentation] 長方形配置問題に対するbest-fit法の効率的な実現2007

    • Author(s)
      今堀慎治, 柳浦睦憲
    • Organizer
      情報処理学会第114回アルゴリズム研究会
    • Place of Presentation
      愛知
    • Related Report
      2008 Final Research Report
  • [Presentation] A Local Search Algorithm based on Overlap Minimization for the Irregular Strip Packing Problem2007

    • Author(s)
      Umetani, M. Yagiura, T. Imamichi, S. Imahori, K. Nonobe, T. Ibaraki
    • Organizer
      Proceedings of the 7th Metaheuristics International Conference (MIC2007)
    • Place of Presentation
      Montreal, Canada
    • Related Report
      2008 Final Research Report
  • [Presentation] Generation of Cutter Paths for Hard Material2007

    • Author(s)
      S. Imahori, M. Kushiya, T. Nakashima, K. Sugihara
    • Organizer
      Proceedings of the 5th Hungarian-Japanese Symposium on Discrete Mathematics and Its Applications (2007)
    • Place of Presentation
      宮城
    • Related Report
      2008 Final Research Report
  • [Presentation] Theoretical and Experimental Comparisons of Heuristic Algorithms for Rectangle Packing Problems2007

    • Author(s)
      S. Imahori, M. Yagiura
    • Organizer
      4th ESICUP Meeting
    • Place of Presentation
      Tokyo, Japan
    • Related Report
      2008 Final Research Report
  • [Presentation] Bottom Left Heuristics for Strip Packing Problem2007

    • Author(s)
      S. Imahori, M. Yagiura
    • Organizer
      Dagstuhl Seminar 07112 (Cutting, Packing, Layout and Space Allocation)
    • Place of Presentation
      Dagstuhl, Germany
    • Related Report
      2008 Final Research Report
  • [Presentation] A Guided Local Search Algorithm based on a Fast Neighborhood Search for the Irregular Strip Packing Problem2006

    • Author(s)
      S. Umetani, M. Yagiura, T. Imamichi, S. Imahori, K. Nonobe, T. Ibaraki
    • Organizer
      Proceedings of International Symposium on Scheduling 2006 (ISS2006)
    • Place of Presentation
      東京
    • Related Report
      2008 Final Research Report
  • [Presentation] Cutter-Path Generation for Hard Material2006

    • Author(s)
      S. Imahori, M. Kushiya, T. Nakashima, K. Sugihara
    • Organizer
      INFORMS 2006
    • Place of Presentation
      Hong Kong, China
    • Related Report
      2008 Final Research Report
  • [Book] Hybrid Metaheuristics for Packing Problems(in: C. Blum, M.J. Blesa Aguilera, A. Roli, M. Sampels (eds.), Hybrid Metaheuristics: An Emerging Approach to Optimization, Studies in Computational Intelligence (SCI)114)2008

    • Author(s)
      T. Ibaraki, S. Imahori, M. Yagiura
    • Publisher
      Springer
    • Related Report
      2008 Final Research Report
  • [Book] Practical Algorithms for Two-dimensional Packing(in: T.F. Gonzalez (ed.), Handbook of Approximation Algorithms and Metaheuristics)2007

    • Author(s)
      S. Imahori, M. Yagiura, H. Nagamochi
    • Publisher
      Chapman & Hall/CRC in the Computer & Information Science Series
    • Related Report
      2008 Final Research Report
  • [Book] Handbook of Approximation Algorithms and Metaheuristics2007

    • Author(s)
      今堀慎治
    • Publisher
      Chapman & Hall/CRC
    • Related Report
      2007 Annual Research Report

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Published: 2006-04-01   Modified: 2016-04-21  

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