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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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    1. Ruiz, Rubén & Vázquez-Rodríguez, José Antonio, 2010. "The hybrid flow shop scheduling problem," European Journal of Operational Research, Elsevier, vol. 205(1), pages 1-18, August.
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    3. Chiang, Tsung-Che & Lin, Hsiao-Jou, 2013. "A simple and effective evolutionary algorithm for multiobjective flexible job shop scheduling," International Journal of Production Economics, Elsevier, vol. 141(1), pages 87-98.
    4. Chou, Fuh-Der, 2013. "Particle swarm optimization with cocktail decoding method for hybrid flow shop scheduling problems with multiprocessor tasks," International Journal of Production Economics, Elsevier, vol. 141(1), pages 137-145.
    5. Finke, Gerd & Lemaire, Pierre & Proth, Jean-Marie & Queyranne, Maurice, 2009. "Minimizing the number of machines for minimum length schedules," European Journal of Operational Research, Elsevier, vol. 199(3), pages 702-705, December.
    6. Allahverdi, Ali & Ng, C.T. & Cheng, T.C.E. & Kovalyov, Mikhail Y., 2008. "A survey of scheduling problems with setup times or costs," European Journal of Operational Research, Elsevier, vol. 187(3), pages 985-1032, June.
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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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