Studies on heuristic algorithms for cutting and packing problems

• Project/Area Number: 18700005
• Research Category: Grant-in-Aid for Young Scientists (B)
• Allocation Type: Single-year Grants
• Research Field: Fundamental theory of informatics
• Research Institution: The 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: ¥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

Research Products

• [Journal Article] The Best-Fit Heuristic for the Rectangular Strip Packing Problem: An Efficient Implementation and the Worst-Case Approximation Ratio (2010)
  • Author(s): S. Imahori, M. Yagiura
  • Journal Title: Computers and Operations Research 37 Pages: 325-333
• [Journal Article] The Best-Fit Heuristic for the Rectangular Strip Packing Problem : An Efficient Implementation and the Worst-Case Approximation Ratio (2010)
  • Author(s): Shinji Imahori, Mutsunori Yagiura
  • Journal Title: Computers and Operations Research 37(印刷中(掲載確定)) Pages: 325-333
  • Peer Reviewed
• [Journal Article] Solving the Irregular Strip Packing Problem via Guided Local Search for Overlap Minimization (2009)
  • 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
• [Journal Article] Solving the Irregular Strip Packing Problem via Guided Local Search for Overlap Minimization (2009)
  • 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
  • Peer Reviewed
• [Journal Article] Generation of Cutter Paths for Hard Material in Wire EDM (2008)
  • Author(s): S. Imahori, M. Kushiya, T. Nakashima, K. Sugihara
  • Journal Title: Journal of Materials Processing Technology 206 Pages: 453-461
• [Presentation] New Implementation of the Best-Fit Heuristic for Rectangle Paching and Tight Analysis on Approximation Ratio (2009)
  • Author(s): Shinji Imahori, Mutsunori Yagiura
  • Organizer: 6th ESICHP Meeting
  • Place of Presentation: Valencia(スペイン)
  • Year and Date: 2009-03-26
• [Presentation] New Implementation of the Best-Fit Heuristic for Rectangle Packing and Tight Analysis on Approximation Ratio (2009)
  • Author(s): S. Imahori, M. Yagiura
  • Organizer: 6th ESICUP Meeting
  • Place of Presentation: Valencia, Spain
• [Presentation] Improved best-fit heuristics for rectangular strip packing and bin packing problems (2008)
  • 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
• [Presentation] Improved Best-Fit Heuristics for Rectangular Strip Packing and Bin Packing Problems (2008)
  • Author(s): S. Imahori, M. Yagiura
  • Organizer: International Symposium on Combinatorial Optimization 2008
  • Place of Presentation: Coventry, UK
• [Presentation] A Local Search Algorithm based on Overlap Minimization for the Irregular Strip Packing Problem (2007)
  • 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
• [Presentation] Generation of Cutter Paths for Hard Material (2007)
  • 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
• [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
• [Presentation] Generation of Cutter Paths for Hard Material (2007)
  • Author(s): S. Imahori, M. Kushiya, T. Nakashima, K. Sugihara
  • Organizer: The First Hanyang-Tokyo Geometric Workshop
  • Place of Presentation: Seoul, Korea
• [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
• [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
• [Presentation] A Local Search Algorithm based on Overlap Minimization for the Irregular Strip Packing Problem (2007)
  • 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
• [Presentation] Generation of Cutter Paths for Hard Material (2007)
  • 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
• [Presentation] Theoretical and Experimental Comparisons of Heuristic Algorithms for Rectangle Packing Problems (2007)
  • Author(s): S. Imahori, M. Yagiura
  • Organizer: 4th ESICUP Meeting
  • Place of Presentation: Tokyo, Japan
• [Presentation] Bottom Left Heuristics for Strip Packing Problem (2007)
  • Author(s): S. Imahori, M. Yagiura
  • Organizer: Dagstuhl Seminar 07112 (Cutting, Packing, Layout and Space Allocation)
  • Place of Presentation: Dagstuhl, Germany
• [Presentation] A Guided Local Search Algorithm based on a Fast Neighborhood Search for the Irregular Strip Packing Problem (2006)
  • 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
• [Presentation] Cutter-Path Generation for Hard Material (2006)
  • Author(s): S. Imahori, M. Kushiya, T. Nakashima, K. Sugihara
  • Organizer: INFORMS 2006
  • Place of Presentation: Hong Kong, China
• [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
• [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
• [Book] Handbook of Approximation Algorithms and Metaheuristics (2007)
  • Author(s): 今堀慎治
  • Publisher: Chapman & Hall/CRC