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Moderate worst-case complexity bounds for the permutation flowshop scheduling problem using Inclusion–Exclusion

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  • Olivier Ploton

    (Université de Tours)

  • Vincent T’kindt

    (Université de Tours)

Abstract

In this paper, we are interested in minimizing the maximal or total cost of jobs in a permutation flowshop. This problem is known to be strongly NP-hard and exact algorithms of practical interest to solve it have very high, often factorial, worst-case complexity bounds. From a more theoretical point of view, we describe an Inclusion–Exclusion-based exact algorithm with a moderate exponential time and a pseudopolynomial space worst-case complexity bound for a fixed number of machines. We discuss extensions of this algorithm for job precedence constraints, with moderate exponential space and time bounds.

Suggested Citation

  • Olivier Ploton & Vincent T’kindt, 2023. "Moderate worst-case complexity bounds for the permutation flowshop scheduling problem using Inclusion–Exclusion," Journal of Scheduling, Springer, vol. 26(2), pages 137-145, April.
    • Handle: RePEc:spr:jsched:v:26:y:2023:i:2:d:10.1007_s10951-022-00759-1
    DOI: 10.1007/s10951-022-00759-1
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    References listed on IDEAS

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