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New results for minimising variation of flow time in two-machine proportionate no-wait flow shops

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  • S. S. Panwalkar
  • Christos Koulamas

Abstract

In this paper, the two-machine no-wait proportionate flow shop problem is analysed with the objective of minimising the total absolute deviation of job completion times. The optimality of V-shaped sequences is extended to problems with 12 jobs and it is shown that an optimal sequence may not be V-shaped with 13 jobs. For problems of larger size, the best V-shaped sequence is determined in linear time without resorting to dynamic programming. For larger size problems, it is shown that the number of non-dominated potentially optimal semi-V-shaped sequences increases rapidly. This indicates that derivation of optimal solutions in low order polynomial time is unlikely with a large number of jobs. Finally, the findings are extended to the corresponding problem with the objective of minimising the total absolute differences in waiting times.

Suggested Citation

  • S. S. Panwalkar & Christos Koulamas, 2021. "New results for minimising variation of flow time in two-machine proportionate no-wait flow shops," International Journal of Production Research, Taylor & Francis Journals, vol. 59(9), pages 2789-2799, May.
    • Handle: RePEc:taf:tprsxx:v:59:y:2021:i:9:p:2789-2799
    DOI: 10.1080/00207543.2020.1740345
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    Cited by:

    1. Koulamas, Christos & Kyparisis, George J., 2023. "Two-stage no-wait proportionate flow shop scheduling with minimal service time variation and optional job rejection," European Journal of Operational Research, Elsevier, vol. 305(2), pages 608-616.

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