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Scheduling in an assembly-type production chain with batch transfer

Author

Listed:
  • Lin, B.M.T.
  • Cheng, T.C.E.
  • Chou, A.S.C.

Abstract

This paper addresses a three-machine assembly-type flowshop scheduling problem, which frequently arises from manufacturing process management as well as from supply chain management. Machines one and two are arranged in parallel for producing component parts individually, and machine three is an assembly line arranged as the second stage of a flowshop for processing the component parts in batches. Whenever a batch is formed on the second-stage machine, a constant setup time is required. The objective is to minimize the makespan. In this study we establish the strong NP-hardness of the problem for the case where all the jobs have the same processing time on the second-stage machine. We then explore a useful property, based upon which a special case can be optimally solved in polynomial time. We also study several heuristic algorithms to generate quality approximate solutions for the general problem. Computational experiments are conducted to evaluate the effectiveness of the algorithms.

Suggested Citation

  • Lin, B.M.T. & Cheng, T.C.E. & Chou, A.S.C., 2007. "Scheduling in an assembly-type production chain with batch transfer," Omega, Elsevier, vol. 35(2), pages 143-151, April.
    • Handle: RePEc:eee:jomega:v:35:y:2007:i:2:p:143-151
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    References listed on IDEAS

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    2. Kovalyov, M. Y. & Potts, C. N. & Strusevich, V. A., 2004. "Batching decisions for assembly production systems," European Journal of Operational Research, Elsevier, vol. 157(3), pages 620-642, September.
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    Cited by:

    1. Balakrishnan, Jaydeep & Hung Cheng, Chun, 2009. "The dynamic plant layout problem: Incorporating rolling horizons and forecast uncertainty," Omega, Elsevier, vol. 37(1), pages 165-177, February.
    2. Sun Lee, Ik & Yoon, S.H., 2010. "Coordinated scheduling of production and delivery stages with stage-dependent inventory holding costs," Omega, Elsevier, vol. 38(6), pages 509-521, December.
    3. X Wang & L Tang, 2011. "Scheduling a single machine with multiple job processing ability to minimize makespan," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 62(8), pages 1555-1565, August.
    4. Sung, Chang Sup & Juhn, Jaeho, 2009. "Makespan minimization for a 2-stage assembly scheduling problem subject to component available time constraint," International Journal of Production Economics, Elsevier, vol. 119(2), pages 392-401, June.
    5. Elahi, Mirza M. Lutfe & Rajpurohit, Karthik & Rosenberger, Jay M. & Zaruba, Gergely & Priest, John, 2015. "Optimizing real-time vehicle sequencing of a paint shop conveyor system," Omega, Elsevier, vol. 55(C), pages 61-72.
    6. Tang, Lixin & Zhao, Yufang, 2008. "Scheduling a single semi-continuous batching machine," Omega, Elsevier, vol. 36(6), pages 992-1004, December.

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