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A two-stage flow shop batch-scheduling problem with the option of using Not-All-Machines

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  • Gerstl, Enrique
  • Mosheiov, Gur

Abstract

The decision whether to use all the available machines in the shop becomes very relevant when the capacity exceeds the demand. In such cases, it might be optimal to use only a subset of the machines. We study this option in a two-stage flowshop environment. Jobs are assumed to be identical, and are processed in batches, where a machine-dependent setup time is required when starting a new batch. The objective function is minimum makespan. We introduce an exact efficient dynamic programming algorithm, which is shown numerically to be able to solve medium size instances in very reasonable time. For the solution of large instances, we propose an asymptotically optimal heuristic procedure and a lower bound on the makespan value, which produce extremely small optimality gaps.

Suggested Citation

  • Gerstl, Enrique & Mosheiov, Gur, 2013. "A two-stage flow shop batch-scheduling problem with the option of using Not-All-Machines," International Journal of Production Economics, Elsevier, vol. 146(1), pages 161-166.
    • Handle: RePEc:eee:proeco:v:146:y:2013:i:1:p:161-166
    DOI: 10.1016/j.ijpe.2013.06.018
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    References listed on IDEAS

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    Cited by:

    1. Gerstl, Enrique & Mosheiov, Gur, 2014. "A two-stage flexible flow shop problem with unit-execution-time jobs and batching," International Journal of Production Economics, Elsevier, vol. 158(C), pages 171-178.
    2. Ming Liu & Xuenan Yang & Jiantong Zhang & Chengbin Chu, 2017. "Scheduling a tempered glass manufacturing system: a three-stage hybrid flow shop model," International Journal of Production Research, Taylor & Francis Journals, vol. 55(20), pages 6084-6107, October.

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