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The development of centralization-diversity method for NP-hard combinatorial optimization problems

Research Project

Project/Area Number 10205206
Research Category

Grant-in-Aid for Scientific Research on Priority Areas (B)

Allocation TypeSingle-year Grants
Research InstitutionTokyo university of mercantile marine

Principal Investigator

KUBO Mikio  Tokyo university of mercantile marine, associate professor, 助教授 (60225191)

Co-Investigator(Kenkyū-buntansha) MIYAMOTO Yuichiro  Tokyo university of mercantile marine, research associate, 助手 (20323850)
Project Period (FY) 1998 – 2000
Project Status Completed (Fiscal Year 2001)
Budget Amount *help
¥5,700,000 (Direct Cost: ¥5,700,000)
Fiscal Year 2000: ¥2,100,000 (Direct Cost: ¥2,100,000)
Fiscal Year 1999: ¥2,200,000 (Direct Cost: ¥2,200,000)
Fiscal Year 1998: ¥1,400,000 (Direct Cost: ¥1,400,000)
Keywordscombinatorial optimization / vehicle routing / scheduling / algorithm / NP-困難 / 発見的アルゴリズム / メタ解法 / アルゴリズム工学
Research Abstract

We developed meta-heuristics for combinatorial optimization problems and implemented these meta-heuristics with those investigated data structures. We mainly deal with the vehicle routing and the machine scheduling. We presented our research results in many international conferences. The algorithms developed in our research process are open as demo programs (maximum clique, graph partition and channel assignment) in the Algorithm Database that is one of the main results of the research project.
In relation to the vehicle routing, we developed fast algorithm of neighbor search appeared in the meta-heuristics for the vehicle routing with soft time windows that is very important in business practice and in research interest.
We deal with the inventory routing. In the inventory routing, delivery costs and inventory cost are simultaneously optimized. We developed effective algorithm for the inventory routing by using dynamic programming and cross-opt improvement. We also reported computational experiments. The experiments show that the inventory routing reduces total cost about 40%.
We also deal with the scheduling problem. In algorithms for the job-shop scheduling problem, interval consistency tests are known to be effective to narrowing search areas. The tests are naturally extensive to the resource constraint project-scheduling problem and very useful in scheduling. We developed a fast algorithm for the input-or-output test that is one of the interval consistency tests. We reduced the time complexity from O(n^4) to O(n^2log^2n) of the input-or-output test by using the balanced binary tree and heap structures.

Report

(4 results)
  • 2001 Final Research Report Summary
  • 2000 Annual Research Report
  • 1999 Annual Research Report
  • 1998 Annual Research Report
  • Research Products

    (23 results)

All Other

All Publications (23 results)

  • [Publications] Kubo, M, et.al.: "A VLSI Scan-Chain Optimization Algorithm for Multiple Scan-Paths"IEICE Transactions on Fundamentals of Electronics. Vol.E-82-A No.11. 2499-2504 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] 久保幹雄, 下村雅彦, 毛利裕昭: "数理的技法によるサプライチェーン設計・運用システムの構築"高度情報化支援ソフトウェア育成事業編,情報処理振興事業協会. 1999年5月号. 37-44 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] 宮本裕一郎, 宇野毅明, 久保幹雄: "ジョブショップスケジューリングにおける変数固定テストの高速化"第12回RAMPシンポジウム論文集. 43-52 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] 久保幹雄: "サプライ・チェイン最適化"Logistics. (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] 宮本裕一郎, 久保幹雄: "自動販売機補充問題に対する組合せ最適化アプローチ"東京商船大学研究報告(自然科学). Vol.51. 27-33 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] 久保幹雄: "科学大仮説,13.巡回セールスマン問題"学研ムック. (1988)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] 久保幹雄, 松井知己: "組合せ最適化[短編集]"朝倉書店. (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] 久保幹雄(分担執筆): "日工研シリーズ,A-263,共同化を前提とした荷捌き施設の計画手法の研究"日本交通政策研究会. (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] 久保幹雄(分担執筆): "生産管理の辞典"朝倉書店. (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] 久保幹雄(分担執筆): "日本オペレーションズリサーチ学会40周年記念出版,OR辞典"(2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] 久保幹雄: "組合せ最適化とアルゴリズム"共立出版. (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Kubo, M., et. al.: "A VLSI Scan-Chain Algorithm for Multiple Scan-Paths"IEICE Transactions on Fundamentals of Electronics. Vol. E-82-A, No. 11. 2499-2504 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Miyamoto, Y., Uno, T. and Kubo, M.: "The Speed up Technique of the Interval Consistency Test of the Job-shop Scheduling"The Proceeding of the 12^<th> RAMP Symposium (in Japanese). 37-44 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Kubo, M.: "Supply Chain Optimization"Logistics (in Japanese).

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Miyamoto, Y. and Kubo, M.: "The Combinatorial Optimization Approach to the vending machines replenishment problem"Technical Report in Tokyo University of Mercantile Marine (in Japanese). Vol. 51. 27-33 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Kubo, M. and Matsui, T.: "Combinatorial Optimization [A Collection of Short Stories]"Asakura Publication (in Japanese). (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Kubo, M.: "Combinatorial Optimization and Algorithms"Kyoritsu Publication (in Japanese). (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Kobayashi, Edahiro, Kubo: "A VLSI Scan-Chain Optimization Algorithm for Multiple Scan-Paths"IEICE Trans. Fundamentals. E82-A. 2499-2504 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] 久保幹雄 他: "科学大仮説 ch.13 巡回セールスマン問題"学研. 300 (1998)

    • Related Report
      1999 Annual Research Report
  • [Publications] 黒田 他: "生産管理ハンドブック"朝倉書店. 1000 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] M.Kubo and K.Fujisawa: "The Life Span Method-A New Variart of Local Search-" Japan Journal of Industrial and Applied Mathematics. 15・3. 363-393 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] 森戸・久保: "数理計画とシミュレーション" オペレーションズ・リケーチ. 43・2. 81-87 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] 拒名・久保: "電力設備補修計画における分枝限定/切除平面法" 日本応用数理学会論文誌. 8・2. 157-168 (1998)

    • Related Report
      1998 Annual Research Report

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Published: 1998-04-01   Modified: 2016-04-21  

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