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Batch scheduling on a two‐machine jobshop with machine‐dependent setup times

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  • Gur Mosheiov
  • Daniel Oron

Abstract

The problem of minimum makespan on an m machine jobshop with unit execution time (UET) jobs (m ≥ 3) is known to be strongly NP‐hard even with no setup times. We focus in this article on the two‐machine case. We assume UET jobs and consider batching with batch availability and machine‐dependent setup times. We introduce an efficient \documentclass{article}\usepackage{mathrsfs}\usepackage{amsmath}\pagestyle{empty}\begin{document} \begin{align*}(O(\sqrt{n}))\end{align*} \end{document} algorithm, where n is the number of jobs. We then introduce a heuristic for the multimachine case and demonstrate its efficiency for two interesting instances. © 2011 Wiley Periodicals, Inc. Naval Research Logistics, 2011

Suggested Citation

  • Gur Mosheiov & Daniel Oron, 2011. "Batch scheduling on a two‐machine jobshop with machine‐dependent setup times," Naval Research Logistics (NRL), John Wiley & Sons, vol. 58(7), pages 676-684, October.
    • Handle: RePEc:wly:navres:v:58:y:2011:i:7:p:676-684
    DOI: 10.1002/nav.20473
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    References listed on IDEAS

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    1. Mosheiov, Gur & Oron, Daniel, 2008. "Open-shop batch scheduling with identical jobs," European Journal of Operational Research, Elsevier, vol. 187(3), pages 1282-1292, June.
    2. C.A. Glass & C.N. Potts & V.A. Strusevich, 2001. "Scheduling Batches with Sequential Job Processing for Two-Machine Flow and Open Shops," INFORMS Journal on Computing, INFORMS, vol. 13(2), pages 120-137, May.
    3. 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.
    4. T.C.E. Cheng & B.M.T. Lin & A. Toker, 2000. "Makespan minimization in the two‐machine flowshop batch scheduling problem," Naval Research Logistics (NRL), John Wiley & Sons, vol. 47(2), pages 128-144, March.
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