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Counterexamples to optimal permutation schedules for certain flow shop problems

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  • S. S. Panwalkar
  • M. L. Smith
  • C. R. Woollam

Abstract

It is well known that a minimal makespan permutation sequence exists for the n × 3 flow shop problem and for the n × m flow shop problem with no inprocess waiting when processing times for both types of problems are positive. It is shown in this paper that when the assumption of positive processing times is relaxed to include nonnegative processing times, optimality of permutation schedules cannot be guaranteed.

Suggested Citation

  • S. S. Panwalkar & M. L. Smith & C. R. Woollam, 1981. "Counterexamples to optimal permutation schedules for certain flow shop problems," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 28(2), pages 339-340, June.
    • Handle: RePEc:wly:navlog:v:28:y:1981:i:2:p:339-340
    DOI: 10.1002/nav.3800280215
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    Cited by:

    1. S.S. Panwalkar & Christos Koulamas, 2015. "Proportionate flow shop: New complexity results and models with due date assignment," Naval Research Logistics (NRL), John Wiley & Sons, vol. 62(2), pages 98-106, March.

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