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Sequence Scheduling with Batching and Smoothing Considerations

Research Project

Project/Area Number 11680454
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field 社会システム工学
Research InstitutionWaseda University

Principal Investigator

MORITO Susumu  Waseda University, School of Science and Engineering, Professor, 理工学部, 教授 (50134193)

Project Period (FY) 1999 – 2001
Project Status Completed (Fiscal Year 2001)
Budget Amount *help
¥3,300,000 (Direct Cost: ¥3,300,000)
Fiscal Year 2001: ¥800,000 (Direct Cost: ¥800,000)
Fiscal Year 2000: ¥1,100,000 (Direct Cost: ¥1,100,000)
Fiscal Year 1999: ¥1,400,000 (Direct Cost: ¥1,400,000)
Keywordsbatching / smoothing / production planning / scheduling / sequencing / lot scheduling / job shop scheduling / colum generation / 数理計画 / ラグランジュ緩和法 / 多品種生産 / 整数計画 / 在庫の順序調整機能 / 投入順序付け
Research Abstract

Two critical, yet contradictory, concepts of modern production planning are grouping and smoothing. Batching of the same type of products to form batches or lots are essential for efficient shop operation when setup losses due to product changes are non-trivial. Smoothing has become viewed as an another key concept especially in the so-called JIT environment. These concepts have been studied individually but not together.
This study focused on a production line a part of which calls for batching (such as painting), whereas the other calls for smoothing (such as assenbly). The system considered is a two-stage hybrid flowshop in which the first stage consists of two parallel machines and calls for batching of products having the same attribute, say, color. Production smoothing, on the other hand, is a major concern of the second stage. A production sequence which "compromises" both batching and smoothing considerations are sought.
The study, after describing the problem scenario, presented a general idea to achieve smoothing and identified, under the assumpticn of "no-inventory synchronized production", properties of the production sequences to meet a smoothing "constraint". A mathematical program is fourmulated to obtain a final sequence to minimize the number of the first-stage setups due to changes of the product attribute (say, color). The study also discussed a method to make appropriate "color/product-type assignment" so that the number of color changes can be reduced. The problem is also formulated as an integer program. The proposed approach was evaluated computationally with real data.
The study also presented 1) a Lagrangian-based heuristic for the standard job shop scheduling problem where operation precedence constraints are relaxed to yield subproblems for each machine, and 2) a colum-gen aration heuristic for a lot scheduling problem of single-stage parallel identical machines.

Report

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

    (19 results)

All Other

All Publications (19 results)

  • [Publications] 今泉淳, 新井智弘, 森戸晋: "ジョブショップスケジューリングに対する機械分解によるラグランジュ緩和"日本経営工学会論文誌. 54(2)(印刷中). (2003)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] 今泉淳, 森戸晋: "ジョブの分岐と時間重複生産を許す2工程並列機械フローショップスケジューリング問題"日本経営工学会論文誌. 52(5). 263-272 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Ralf Seifert, Susumu Morito: "Cooperative dispatching ---exploiting the flexibility of an FMS by means of incremental optimization"European Journal of Operational Research. 129(1). 116-133 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] 今泉淳, 森戸晋: "分岐型ジョブのスケジューリング問題に対するラグランジュ分解・調整法"オペレーションズ・リサーチ. 45(6). 276-281 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] 黒田充, 村松健児編(今泉淳, 森戸晋): "生産スケジューリング(バッチサイズの決定とジョブの順序づけを同時に行うスケジューリング"朝倉書店. 272(16) (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Jun Imaizumi, Tomohiro Arai, and Susumi Morito: "Machine-Based Lagrangian Decomposition for Job Shop Scheduling Problems"Journal of Japan Industrial Management Association. 54(2). (2003)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Jun Imaizumi and Susumu Morito: "A Two-Stage Minimum Tardiness Flow Shop Scheduling with Diverging Jobs And Time Overlapping Production : Heuristic Approach With Lagrangian Relaxation"Journal of Japan Industrial Management Association. 52(5). 263-272 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Ralf Sejifert and Susumu Morito: "Cooperative Dis-Patching---Exploiting the flexibility of an FMS by means of Incremental Optimization"European Journal of Operational Research. 129(1). 116-133 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] 今泉 淳, 森戸 晋: "ジョブの分岐と時間重複生産を許す2工程並列機械フローショップスケジューリング問題"日本経営工学会論文誌. 52・5. 264-272 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] 新井智弘, 今泉 淳, 森戸 晋: "ジョブショップスケジューリングに対する機械分解によるラグランジュ緩和"スケジューリング学会 スケジューリング・シンポジウム2001講演論文集. 107-112 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] 森戸晋, 今泉淳: "生産スケジューリング(15.バッチサイズの決定とジョブの順序づけを同時に行うスケジューリング)"朝倉書店(編者:黒田充/村松健児). 272

    • Related Report
      2001 Annual Research Report
  • [Publications] 今泉淳,森戸晋: "分岐型ジョブのスケジューリング問題に対するラグランジュ分解・調整法"オペレーションズ・リサーチ. 45・6. 276-281 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] Ralf Seifert,Susumu Morito: "Cooperative dispatching -- exploiting the flexibility of an FMS by means of incremental optimization"European Journal of Operational Research. 129・1. 116-133 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] 森戸晋,逆瀬川浩孝: "システムシミュレーション"朝倉書店. 237 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] 森戸晋,相沢りえ子,貝原: "Visual SLAMによるシステムシミュレーション(改訂版)"共立出版. 353 (2001)

    • Related Report
      2000 Annual Research Report
  • [Publications] 太田直樹,森戸晋: "バッファの順序入替機能を用いたロット化と平準化の同時達成"スケジュ-リング学会生産スケジュ-リングシンポジウム'99講演論文集. 197-202 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] 太田直樹,森戸晋: "組立工程が存在するフロ-ショップスケジュ-リング問題に対する分枝限定アプロ-チ"日本経営工学会論文誌. 50・6. 401-407 (2000)

    • Related Report
      1999 Annual Research Report
  • [Publications] 今泉淳,森戸晋: "ジョブの分枝と重複を許す2工程並列機械スケジュ-リング問題-分枝限定法によるアプロ-チ"日本経営工学会論文誌. 50・5. 308-315 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] 森戸 晋: "生産管理の事典(圓川,黒田,福田(編))第6章"朝倉書店. 18(477-494) (1999)

    • Related Report
      1999 Annual Research Report

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Published: 1999-04-01   Modified: 2016-04-21  

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