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Performance Evaluation and Optimization of Block Production Systems

Research Project

Project/Area Number 11680434
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 InstitutionTohoku University

Principal Investigator

YAMASHITA Hideaki  Graduate School of Economics and Management, Tohoku University Associate Professor, 大学院・経済学研究科, 教授 (30200687)

Co-Investigator(Kenkyū-buntansha) ISHIZUKA Yo  Sophia University, Faculty of Scientific Technology, Associate Professor, 理工学部, 助教授 (90176206)
Project Period (FY) 1999 – 2001
Project Status Completed (Fiscal Year 2001)
Budget Amount *help
¥3,200,000 (Direct Cost: ¥3,200,000)
Fiscal Year 2001: ¥1,200,000 (Direct Cost: ¥1,200,000)
Fiscal Year 2000: ¥1,200,000 (Direct Cost: ¥1,200,000)
Fiscal Year 1999: ¥800,000 (Direct Cost: ¥800,000)
KeywordsU-shaped production system / Fixed assignments / Free-floating system / Performance evaluation / Optimization problem / Queueing model / Sample-path optimization / 多品種少量生産 / Sample-Path法
Research Abstract

To increase flexibility of production, a variation of the assembly line has recently been introduced in which there are fewer workers than stations and workers walk to adjacent stations to continue work on an item. The system is called a U-shaped production system from its form. The U-shaped production system is, in effect, buffering itself against variation by altering the work assignments, which allows the system to operate with very low levels of work-in-process inventory (WIP). The control of the workers has some versions. One is Fixed Assignments in which each machine belongs to exactly one worker. Another is Free-floating System in which any worker can work on any machine. In this research, we have proposed the queueing model for U-shaped production systems, which includes both the fixed assignments and the free-floating systems as a special case. By the field work, we have observed the throughput, WIP, and the numbers of workers are important factor in U-shaped production systems. Then we have considered following optimization problems:
(1) Under the restriction of the desired throughput, assign the fixed number of workers in order to minimize WIP
(2) Under the restriction of the desired throughput, obtain the total number of workers and assign the workers in order to minimize the total cost for WIP and workers
Since it is very difficult to solve the practical size of the problems using the traditional queueing theory, we apply the idea of sample-path optimization to the above optimization problems. The analytical results show that the coefficient of variation has a great influence on the optimal structure in the U-shaped production systems.

Report

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

    (12 results)

All Other

All Publications (12 results)

  • [Publications] 山下英明: "生産システムに見る待ち行列モデルの数理"応用数理. 9. 35-45 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] 石塚陽, 山下英明: "サンプルパス最適化の確率的離散事象システムの適用"オペレーションズ・リサーチ. 46. 195-201 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Hideaki, Yamashita: "Analysis of dispatching rules of AGV systems with multiple vehicles"IIE, Transactions. 33. 889-895 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] 山下英明, 石塚陽: "ブロック生産システムのモデル化と解析"待ち行列理論とその応用:未来への展望. 130-140 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] H. Yamashita: "Queueing Models of Manufacturing Systems"Bulletin of the Japan Society for Industrial and Applied Mathematics. Vol.9, No.2. 35-45 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Y. Ishizuka and H. Yamashita: "Application of Sample-path Optimization to Stochastic Discrete Event Systems"Communications of the Operations Research Society of Japan. Vol.46, No.4. 195-201 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] H. Yamashita: "Analysis of Dispatching Rules of AGV Systems with Multiple Vehicles"IIE Transactions. Vol.33. 889-895 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] H. Yamashita and Y. Ishizuka: "Modeling and Analysis of U-shaped Production Systems"Queueing Theory and its Application -the Outlook for the Future. 130-140 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] 石塚陽, 山下英明: "サンプルパス最適化の確率的離散事象システムへの適用"オペラーションズ・リサーチ. 46巻4号. 195-201 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] Hideaki Yamashita: "Analysis of Dispatching Rules of AGV Systems with Multiple Vehicles"IEE Transactions. Vol.33. 889-895 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] 山下英明, 石塚陽: "ブロック生産システムのモデル化と解析"待ち行列理論とその応用:未来への展望. 134-140 (2002)

    • Related Report
      2001 Annual Research Report
  • [Publications] 石塚陽,山下英明: "サンプルパス最適化の確率的離散事象システムへの適用"オペレーションズ・リサーチ. 46巻4号(未定). (2001)

    • Related Report
      2000 Annual Research Report

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

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