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Practical algorithms for packing problems and related problems with packing constraints

Research Project

Project/Area Number 17K00038
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Research Field Mathematical informatics
Research InstitutionChuo University

Principal Investigator

Imahori Shinji  中央大学, 理工学部, 教授 (90396789)

Project Period (FY) 2017-04-01 – 2024-03-31
Project Status Completed (Fiscal Year 2023)
Budget Amount *help
¥4,550,000 (Direct Cost: ¥3,500,000、Indirect Cost: ¥1,050,000)
Fiscal Year 2020: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2019: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
Fiscal Year 2018: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2017: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Keywords数理情報 / アルゴリズム / 数理工学 / 組合せ最適化 / 配置問題
Outline of Final Research Achievements

The packing problem is a combinatorial optimization problem in which several objects with 2D or 3D shapes are placed in a given region so that they do not overlap each other. Although this problem has many real-world applications, experts agree that it is very difficult to solve the problem with general-purpose mathematical optimization solvers (e.g., general-purpose solvers for mixed integer programming problems) and that it is necessary to design dedicated algorithms.
In this research project, we studied the design of new algorithms for packing problems and the use of existing algorithms for basic packing problems to packing problems with different objectives and constraints, and optimization problems with packing constraints such as delivery planning and scheduling.

Academic Significance and Societal Importance of the Research Achievements

実社会に現れる問題の多くが組合せ最適化問題として定式化されることが知られている。汎用的な解法(汎用数理最適化ソルバーなど)によって課題の解決ができる場合は良いが,そうでない場合も多い.本研究において,汎用解法での解決が難しい配置問題に対する専用解法を開発したことで,この問題に対する良質の解を現実的な時間で得られるようになった.また,そのような専用アルゴリズムやその考え方を他の課題でも利用できることを示し,専用アルゴリズムの活用できる範囲を拡げられる可能性を示した.

Report

(8 results)
  • 2023 Annual Research Report   Final Research Report ( PDF )
  • 2022 Research-status Report
  • 2021 Research-status Report
  • 2020 Research-status Report
  • 2019 Research-status Report
  • 2018 Research-status Report
  • 2017 Research-status Report
  • Research Products

    (21 results)

All 2024 2022 2020 2019 2018 2017

All Journal Article (6 results) (of which Peer Reviewed: 6 results,  Open Access: 5 results) Presentation (14 results) (of which Int'l Joint Research: 2 results) Book (1 results)

  • [Journal Article] Creation of Dihedral Escher-like Tilings Based on As-Rigid-As-Possible Deformation2024

    • Author(s)
      Nagata Yuichi、Imahori Shinji
    • Journal Title

      ACM Transactions on Graphics

      Volume: 43 Issue: 2 Pages: 1-18

    • DOI

      10.1145/3638048

    • Related Report
      2023 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Escherization with Large Deformations Based on As-Rigid-As-Possible Shape Modeling2022

    • Author(s)
      Nagata Yuichi、Imahori Shinji
    • Journal Title

      ACM Transactions on Graphics

      Volume: 41 Issue: 2 Pages: 1-16

    • DOI

      10.1145/3487017

    • Related Report
      2021 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] The computational complexity of the gear placement problem2020

    • Author(s)
      V.M. Fukushigue Hama, S. Kanazawa, Y. Hu, S. Imahori, H. Ono and M. Yagiura
    • Journal Title

      Journal of Advanced Mechanical Design, Systems, and Manufacturing

      Volume: 14 Issue: 5 Pages: JAMDSM0069-JAMDSM0069

    • DOI

      10.1299/jamdsm.2020jamdsm0069

    • NAID

      130007868078

    • ISSN
      1881-3054
    • Related Report
      2020 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] An Efficient Exhaustive Search Algorithm for the Escherization Problem2020

    • Author(s)
      Y. Nagata, S. Imahori
    • Journal Title

      Algorithmica

      Volume: - Issue: 9 Pages: 2502-2534

    • DOI

      10.1007/s00453-020-00695-6

    • Related Report
      2019 Research-status Report
    • Peer Reviewed
  • [Journal Article] Exact algorithms for the rectilinear block packing problem2018

    • Author(s)
      K. Matsushita, Y. Hu, H. Hashimoto, S. Imahori, M. Yagiura
    • Journal Title

      Journal of Advanced Mechanical Design, Systems, and Manufacturing

      Volume: 12 Issue: 3 Pages: JAMDSM0074-JAMDSM0074

    • DOI

      10.1299/jamdsm.2018jamdsm0074

    • NAID

      130007401949

    • ISSN
      1881-3054
    • Related Report
      2018 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] EFFICIENT OVERLAP DETECTION AND CONSTRUCTION ALGORITHMS FOR THE BITMAP SHAPE PACKING PROBLEM2018

    • Author(s)
      Yannan Hu, Sho Fukatsu, Hideki Hashimoto, Shinji Imahori, Mutsunori Yagiura
    • Journal Title

      Journal of the Operations Research Society of Japan

      Volume: 61 Issue: 1 Pages: 132-150

    • DOI

      10.15807/jorsj.61.132

    • NAID

      130006301094

    • ISSN
      0453-4514, 2188-8299
    • Related Report
      2017 Research-status Report
    • Peer Reviewed / Open Access
  • [Presentation] 統合可能な作業を含む調理スケジューリング問題に対する発見的解法2020

    • Author(s)
      平野敬祐,今堀慎治
    • Organizer
      日本オペレーションズリサーチ学会春季研究発表会
    • Related Report
      2019 Research-status Report
  • [Presentation] 工業的制約付き二次元ビンパッキング問題に対する最適化手法の提案2020

    • Author(s)
      久武優一,今堀慎治
    • Organizer
      日本オペレーションズリサーチ学会春季研究発表会
    • Related Report
      2019 Research-status Report
  • [Presentation] オンライン在線位置データを用いた列車遅延伝播の予測アルゴリズムの提案2020

    • Author(s)
      春田雅也,今堀慎治
    • Organizer
      日本オペレーションズリサーチ学会春季研究発表会
    • Related Report
      2019 Research-status Report
  • [Presentation] On the complexity of the gear placement problem2019

    • Author(s)
      V.M. Fukushigue Hama, S. Kanazawa, Y. Hu, S. Imahori, H. Ono, M. Yagiura
    • Organizer
      International Symposium on Scheduling 2019
    • Related Report
      2019 Research-status Report
    • Int'l Joint Research
  • [Presentation] Two-dimensional rectangular bin packing problem in glass industry2019

    • Author(s)
      S. Imahori
    • Organizer
      EURO 2019
    • Related Report
      2019 Research-status Report
    • Int'l Joint Research
  • [Presentation] 自動ピッキングシステムの最適運用計画2019

    • Author(s)
      今堀慎治
    • Organizer
      スケジューリング学会 第11回最適化とアルゴリズム研究部会
    • Related Report
      2019 Research-status Report
  • [Presentation] オンライン在線位置データを用いた列車遅延伝播の予測アルゴリズムの提案2019

    • Author(s)
      春田雅也,今堀慎治
    • Organizer
      都市のOR ウインターセミナー2019
    • Related Report
      2019 Research-status Report
  • [Presentation] 統合可能な作業を含む調理スケジューリング問題に対する発見的解法2019

    • Author(s)
      平野敬祐,今堀慎治
    • Organizer
      スケジューリングシンポジウム2019
    • Related Report
      2019 Research-status Report
  • [Presentation] 組合せ最適化問題に対する効率的アルゴリズムの設計2019

    • Author(s)
      今堀慎治
    • Organizer
      日本OR学会 中部支部 2019年第1回支部講演会
    • Related Report
      2019 Research-status Report
  • [Presentation] 実社会で生じる図形配置問題に対するアルゴリズム設計2018

    • Author(s)
      今堀慎治
    • Organizer
      MIMS 現象数理学拠点 共同研究集会
    • Related Report
      2018 Research-status Report
  • [Presentation] ギア配置問題の計算複雑度2018

    • Author(s)
      金澤将吾,福重浜ビトル光生,胡艶楠,今堀慎治,小野廣隆,柳浦睦憲
    • Organizer
      スケジューリング・シンポジウム2018
    • Related Report
      2018 Research-status Report
  • [Presentation] 順序制約と3ステージカット制約のついた二次元ビンパッキング問題に対する構築型解法と解表現について2018

    • Author(s)
      久武優一,春田雅也,今堀慎治
    • Organizer
      スケジューリング・シンポジウム2018
    • Related Report
      2018 Research-status Report
  • [Presentation] エッシャー風タイリング問題に対する効率的な網羅探索アルゴリズムの提案2018

    • Author(s)
      永田裕一,今堀慎治
    • Organizer
      情報処理学会 第166回 アルゴリズム研究会
    • Related Report
      2017 Research-status Report
  • [Presentation] 一般化距離尺度を用いたエッシャー風タイリング問題の網羅的解法2017

    • Author(s)
      永田裕一,今堀慎治
    • Organizer
      進化計算シンポジウム2017
    • Related Report
      2017 Research-status Report
  • [Book] Handbook of Approximation Algorithms and Metaheuristics, Second Edition; Chapter 32 and 332018

    • Author(s)
      Teofilo F. Gonzalez (ed.); S. Imahori, M. Yagiura, H. Nagamochi (Chap 32), Y. Hu, H. Hashimoto, S. Imahori, M. Yagiura (Chap 33)
    • Total Pages
      1578
    • Publisher
      Chapman & Hall/CRC
    • ISBN
      9781498770156
    • Related Report
      2018 Research-status Report

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Published: 2017-04-28   Modified: 2025-01-30  

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