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Development and Application of Algorithms for Packing Problems

Research Project

Project/Area Number 25330024
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Research Field Mathematical informatics
Research InstitutionChuo University (2015-2017)
Nagoya University (2013-2014)

Principal Investigator

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

Co-Investigator(Renkei-kenkyūsha) YAGIURA Mutsunori  名古屋大学, 大学院情報研究科, 教授 (10263120)
HASHIMOTO Hideki  東京海洋大, 学術研究院, 准教授 (70548114)
UMETANI Shunji  大阪大学, 大学院情報科学研究科, 准教授 (80367820)
Project Period (FY) 2013-04-01 – 2018-03-31
Project Status Completed (Fiscal Year 2017)
Budget Amount *help
¥4,940,000 (Direct Cost: ¥3,800,000、Indirect Cost: ¥1,140,000)
Fiscal Year 2016: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2015: ¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
Fiscal Year 2014: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2013: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
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

Packing problem is a problem to place items into one/some large area. There are many applications in the world such as production, LSI design and container loading. In this research, we design many practical heuristic algorithms for this problem. We first design an algorithm for enumerating BL positions for rectangles. With this algorithm, three construction heuristic algorithms for the rectilinear packing problems were proposed. We also propose a practical algorithm for bitmap shapes.
We design some heuristic algorithms for a practical container loading problem, and we apply algorithms for packing problems to other optimization problems.

Report

(6 results)
  • 2017 Annual Research Report   Final Research Report ( PDF )
  • 2016 Research-status Report
  • 2015 Research-status Report
  • 2014 Research-status Report
  • 2013 Research-status Report
  • Research Products

    (30 results)

All 2018 2017 2016 2015 2014 2013

All Journal Article (6 results) (of which Int'l Joint Research: 1 results,  Peer Reviewed: 6 results,  Open Access: 3 results,  Acknowledgement Compliant: 1 results) Presentation (24 results) (of which Int'l Joint Research: 7 results,  Invited: 1 results)

  • [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 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] A heuristic algorithm for the container loading problem with complex loading constraints2016

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

      Journal of Advanced Mechanical Design, Systems, and Manufacturing

      Volume: 10 Issue: 3 Pages: JAMDSM0041-JAMDSM0041

    • DOI

      10.1299/jamdsm.2016jamdsm0041

    • NAID

      130005161644

    • ISSN
      1881-3054
    • Related Report
      2016 Research-status Report 2015 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Escher-like Tilings with Weights2016

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

      Lecture Notes in Computer Science

      Volume: 9943 Pages: 132-142

    • DOI

      10.1007/978-3-319-48532-4_12

    • ISBN
      9783319485317, 9783319485324
    • Related Report
      2016 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] A PARTITION-BASED HEURISTIC ALGORITHM FOR THE RECTILINEAR BLOCK PACKING PROBLEM2016

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

      Journal of the Operations Research Society of Japan

      Volume: 59 Issue: 1 Pages: 110-129

    • DOI

      10.15807/jorsj.59.110

    • NAID

      130005124579

    • ISSN
      0453-4514, 2188-8299
    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] Efficient Implementations of Construction Heuristics for the Rectilinear Block Packing Problem2015

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

      Computers and Operations Research

      Volume: 53 Pages: 206-222

    • Related Report
      2014 Research-status Report
    • Peer Reviewed
  • [Journal Article] Enumerating Bottom-Left Stable Positions for Rectangle Placements with Overlap2014

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

      Journal of the Operations Research Society of Japan

      Volume: 57 Pages: 45-61

    • NAID

      110009815932

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [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 Annual Research 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 Annual Research Report
  • [Presentation] A New Solution Representation for the Rectilinear Block Packing Problem2016

    • Author(s)
      K. Matsushita, Y. Hu, H. Hashimoto, S. Imahori, M. Yagiura
    • Organizer
      The IEEE International Conference on Industrial Engineering and Engineering Management
    • Place of Presentation
      バリ,インドネシア
    • Year and Date
      2016-12-04
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research
  • [Presentation] レクトリニア多角形詰込問題における新しい解表現法2016

    • Author(s)
      松下健,胡艶楠,橋本英樹,今堀慎治,柳浦睦憲
    • Organizer
      スケジューリング シンポジウム 2016
    • Place of Presentation
      大阪
    • Year and Date
      2016-09-24
    • Related Report
      2016 Research-status Report
  • [Presentation] Heuristic algorithms for 2D and 3D packing problem2016

    • Author(s)
      S. Imahori
    • Organizer
      OR58
    • Place of Presentation
      ポーツマス,イギリス
    • Year and Date
      2016-09-06
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research
  • [Presentation] Analysis of solution representation for the rectangle packing problem2016

    • Author(s)
      S. Imahori
    • Organizer
      13th ESICUP Meeting
    • Place of Presentation
      イビサ,スペイン
    • Year and Date
      2016-05-18
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research
  • [Presentation] Heuristics for the Bitmap Shape Packing Problem: Efficient Implementations and Placement Strategies2016

    • Author(s)
      Y. Hu, S. Fukatsu, H. Hashimoto, S. Imahori, M. Yagiura
    • Organizer
      13th ESICUP Meeting
    • Place of Presentation
      イビサ,スペイン
    • Year and Date
      2016-05-18
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research
  • [Presentation] ギロチンカット制約と配置コストを持つ長方形詰込み問題に対する反復局所探索法2016

    • Author(s)
      水野竜太郎,胡艶楠,橋本英樹,今堀慎治,柳浦睦憲
    • Organizer
      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
    • Year and Date
      2016-03-07
    • Related Report
      2015 Research-status Report
  • [Presentation] A Heuristic Algorithm for the Container Loading Problem of Challenge Renault/ESICUP2015

    • Author(s)
      H. Iwasawa, Y. Hu, H. Hashimoto, S. Imahori, M. Yagiura
    • Organizer
      International Symposium on Scheduling
    • Place of Presentation
      Kobe, Japan
    • Year and Date
      2015-07-04
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research
  • [Presentation] An Exact Algorithm with Successively Strengthened Lower Bounds for the Rectilinear Block Packing Problem2015

    • Author(s)
      K. Matsushita, Y. Hu, H. Hashimoto, S. Imahori, M. Yagiura
    • Organizer
      International Symposium on Scheduling
    • Place of Presentation
      Kobe, Japan
    • Year and Date
      2015-07-04
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research
  • [Presentation] The Strip Packing Problem with Soft Rectangles: Experimental Analysis of Heuristic Algorithms2015

    • Author(s)
      M. Milano, S. Imahori, M. Sasaki, M. Yagiura
    • Organizer
      International Symposium on Scheduling
    • Place of Presentation
      Kobe, Japan
    • Year and Date
      2015-07-04
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research
  • [Presentation] 図形配置問題に対する効率的アルゴリズムについて2015

    • Author(s)
      今堀慎治
    • Organizer
      自動チューニング研究会 オープンアカデミックセッション
    • Place of Presentation
      東京
    • Year and Date
      2015-05-11
    • Related Report
      2015 Research-status Report
    • Invited
  • [Presentation] A Heuristic Algorithm for the Container Loading Problem of Challenge Renault/ESICUP2015

    • Author(s)
      H. Iwasawa, Y. Hu, H. Hashimoto, S. Imahori, M. Yagiura
    • Organizer
      12th ESICUP Meeting
    • Place of Presentation
      Portsmouth, UK
    • Year and Date
      2015-03-29 – 2015-03-31
    • Related Report
      2014 Research-status Report
  • [Presentation] ギロチンカット制約付き長方形詰込み問題における配置コストの最適化について2014

    • Author(s)
      水野竜太郎,胡艶楠,橋本英樹,今堀慎治,柳浦睦憲
    • Organizer
      「都市のOR」ワークショップ2014
    • Place of Presentation
      愛知
    • Year and Date
      2014-12-13 – 2014-12-14
    • Related Report
      2014 Research-status Report
  • [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, M. Yagiura
    • Organizer
      IEEE International Conference on Industrial Engineering and Engineering Management
    • Place of Presentation
      Malyasia
    • Year and Date
      2014-12-09 – 2014-12-12
    • Related Report
      2014 Research-status Report
  • [Presentation] Sequence-Tripleを用いた3次元配置問題に対する局所探索法2014

    • Author(s)
      岩澤宏紀,今堀慎治
    • Organizer
      RIMS研究集会「最適化アルゴリズムの進展:理論・応用・実装 」
    • Place of Presentation
      京都
    • Year and Date
      2014-09-24 – 2014-09-25
    • Related Report
      2014 Research-status Report
  • [Presentation] Efficient Local Search Algorithms for Three-Dimensional Packing Using Sequence-Triple2014

    • Author(s)
      S. Imahori, H. Iwasawa
    • Organizer
      IFORS 2014
    • Place of Presentation
      Barcelona, Spain
    • Year and Date
      2014-07-13 – 2014-07-18
    • Related Report
      2014 Research-status Report
  • [Presentation] A Partition-based Heuristic Algorithm for the Large-scale Rectilinear Block Packing Problem2014

    • Author(s)
      Y. Hu, H. Hashimoto, S. Imahori, M. Yagiura
    • Organizer
      IFORS 2014
    • Place of Presentation
      Barcelona, Spain
    • Year and Date
      2014-07-13 – 2014-07-18
    • Related Report
      2014 Research-status Report
  • [Presentation] Efficient Local Search Heuristics for Rectangle Packing Using Sequence-Pair2014

    • Author(s)
      H. Iwasawa, S. Imahori
    • Organizer
      11th ESICUP Meeting
    • Place of Presentation
      Beijing, China
    • Related Report
      2013 Research-status Report
  • [Presentation] Constructive Heuristics for the Soft Rectangle Strip Packing Problem2014

    • Author(s)
      ミラノマルコ,今堀慎治,佐々木美裕,柳浦睦憲
    • Organizer
      日本OR学会 第41回中部支部研究発表会
    • Place of Presentation
      Aichi, Japan
    • Related Report
      2013 Research-status Report
  • [Presentation] Efficient Construction Heuristic Algorithms for the Rectilinear Block Packing Problem2013

    • Author(s)
      Y. Hu, H. Hashimoto, S. Imahori, M. Yagiura
    • Organizer
      International Symposium on Scheduling 2013
    • Place of Presentation
      Tokyo, Japan
    • Related Report
      2013 Research-status Report
  • [Presentation] Construction Heuristic Algorithms for Soft Rectangle Packing2013

    • Author(s)
      S. Imahori, C. Wang
    • Organizer
      10th ESICUP Meeting
    • Place of Presentation
      Lille, France
    • Related Report
      2013 Research-status Report
  • [Presentation] 順列対を用いた長方形配置問題に対する局所探索法-近傍探索の改良-2013

    • Author(s)
      岩澤宏紀,今堀慎治
    • Organizer
      スケジューリング シンポジウム 2013
    • Place of Presentation
      Aichi, Japan
    • Related Report
      2013 Research-status Report
  • [Presentation] 3次元箱詰め問題に対する構築型解法の効率的実現法2013

    • Author(s)
      田中勇真,川島大貴,今堀慎治,柳浦睦憲
    • Organizer
      情報処理学会 第144回 アルゴリズム研究会
    • Place of Presentation
      Hokkaido, Japan
    • Related Report
      2013 Research-status Report

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Published: 2014-07-25   Modified: 2019-07-29  

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