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A flow‐shop problem with sequence‐dependent additive setup times

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  • Wlodzimierz Szwarc
  • Jatinder N. D. Gupta

Abstract

The flow‐shop scheduling problem with sequence‐dependent additive setup times is considered as a special case of the general problem, and a polynomially bounded approximate method is developed to find a minimum makespan permutation schedule. The approximate algorithm is shown to yield optimal results for the two‐machine case. A version of Sule's model is defined that produces the first approximation of the optimal solution for this problem. Computational experience along with numerical examples are provided to test the effectiveness of the method.

Suggested Citation

  • Wlodzimierz Szwarc & Jatinder N. D. Gupta, 1987. "A flow‐shop problem with sequence‐dependent additive setup times," Naval Research Logistics (NRL), John Wiley & Sons, vol. 34(5), pages 619-627, October.
    • Handle: RePEc:wly:navres:v:34:y:1987:i:5:p:619-627
    DOI: 10.1002/1520-6750(198710)34:53.0.CO;2-B
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    References listed on IDEAS

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    1. Wlodzimierz Szwarc, 1981. "Extreme solutions of the two machine flow‐shop problem," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 28(1), pages 103-114, March.
    2. S. M. Johnson, 1954. "Optimal two‐ and three‐stage production schedules with setup times included," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 1(1), pages 61-68, March.
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    Cited by:

    1. A. J. Mason & E. J. Anderson, 1991. "Minimizing flow time on a single machine with job classes and setup times," Naval Research Logistics (NRL), John Wiley & Sons, vol. 38(3), pages 333-350, June.
    2. Yu, Tae-Sun & Han, Jun-Hee, 2021. "Scheduling proportionate flow shops with preventive machine maintenance," International Journal of Production Economics, Elsevier, vol. 231(C).

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