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Flow‐shop batch scheduling with identical processing‐time jobs

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  • Gur Mosheiov
  • Daniel Oron
  • Yaacov Ritov

Abstract

In many practical situations of production scheduling, it is either necessary or recommended to group a large number of jobs into a relatively small number of batches. A decision needs to be made regarding both the batching (i.e., determining the number and the size of the batches) and the sequencing (of batches and of jobs within batches). A setup cost is incurred whenever a batch begins processing on a given machine. This paper focuses on batch scheduling of identical processing‐time jobs, and machine‐ and sequence‐independent setup times on an m‐machine flow‐shop. The objective is to find an allocation to batches and their schedule in order to minimize flow‐time. We introduce a surprising and nonintuitive solution for the problem. © 2004 Wiley Periodicals, Inc. Naval Research Logistics, 2004

Suggested Citation

  • Gur Mosheiov & Daniel Oron & Yaacov Ritov, 2004. "Flow‐shop batch scheduling with identical processing‐time jobs," Naval Research Logistics (NRL), John Wiley & Sons, vol. 51(6), pages 783-799, September.
    • Handle: RePEc:wly:navres:v:51:y:2004:i:6:p:783-799
    DOI: 10.1002/nav.20028
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    References listed on IDEAS

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    1. Gregory Dobson & Uday S. Karmarkar & Jeffrey L. Rummel, 1987. "Batching to Minimize Flow Times on One Machine," Management Science, INFORMS, vol. 33(6), pages 784-799, June.
    2. Edward G. Coffman & Ardavan Nozari & Mihalis Yannakakis, 1989. "Optimal Scheduling of Products with Two Subassemblies on a Single Machine," Operations Research, INFORMS, vol. 37(3), pages 426-436, June.
    3. Potts, Chris N. & Kovalyov, Mikhail Y., 2000. "Scheduling with batching: A review," European Journal of Operational Research, Elsevier, vol. 120(2), pages 228-249, January.
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    Cited by:

    1. XiaoLin Li & YuPeng Li & Yu Wang, 2017. "Minimising makespan on a batch processing machine using heuristics improved by an enumeration scheme," International Journal of Production Research, Taylor & Francis Journals, vol. 55(1), pages 176-186, January.

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