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Flowshop sequencing problem with ordered processing time matrices: A general case

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  • M. L. Smith
  • S. S. Panwalkar
  • R. A. Dudek

Abstract

The ordered matrix flow shop problem with no passing of jobs is considered. In an earlier paper, the authors have considered a special case of the problem and have proposed a simple and efficient algorithm that finds a sequence with minimum makespan for a special problem. This paper considers a more general case. This technique is shown to be considerably more efficient than are existing methods for the conventional flow shop problems.

Suggested Citation

  • M. L. Smith & S. S. Panwalkar & R. A. Dudek, 1976. "Flowshop sequencing problem with ordered processing time matrices: A general case," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 23(3), pages 481-486, September.
    • Handle: RePEc:wly:navlog:v:23:y:1976:i:3:p:481-486
    DOI: 10.1002/nav.3800230310
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    Cited by:

    1. S. S. Panwalkar & Christos Koulamas, 2019. "The evolution of schematic representations of flow shop scheduling problems," Journal of Scheduling, Springer, vol. 22(4), pages 379-391, August.
    2. Myoung-Ju Park & Byung-Cheon Choi & Yunhong Min & Kyung Min Kim, 2020. "Two-Machine Ordered Flow Shop Scheduling with Generalized Due Dates," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 37(01), pages 1-16, January.
    3. S.S. Panwalkar & Milton L. Smith & Christos Koulamas, 2013. "Review of the ordered and proportionate flow shop scheduling research," Naval Research Logistics (NRL), John Wiley & Sons, vol. 60(1), pages 46-55, February.
    4. Byung-Cheon Choi & Joseph Y.-T. Leung & Michael L. Pinedo, 2011. "Minimizing makespan in an ordered flow shop with machine-dependent processing times," Journal of Combinatorial Optimization, Springer, vol. 22(4), pages 797-818, November.

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