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The permutation flowshop scheduling problem with exact time lags to minimise the total earliness and tardiness

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  • Imen Hamdi
  • Taïcir Loukil

Abstract

In this paper, we investigate the problem of n-jobs scheduling in an m-machine permutation flowshop with exact time lags between consecutive operations of each job. The exact time lag is defined as the time elapsed between every couple of successive operations of the same job which is equal to a prescribed value. The aim is to find a feasible schedule that minimises the total tardiness and earliness. We propose three mathematical formulations, which are then solved by running the commercial software CPLEX to provide an optimal solution for small size problems. As the problem is shown to be strongly NP-hard, we propose new improved upper and lower bounds useful for large size problems. We then evaluate their effectiveness through an extensive computational experiment.

Suggested Citation

  • Imen Hamdi & Taïcir Loukil, 2017. "The permutation flowshop scheduling problem with exact time lags to minimise the total earliness and tardiness," International Journal of Operational Research, Inderscience Enterprises Ltd, vol. 28(1), pages 70-86.
    • Handle: RePEc:ids:ijores:v:28:y:2017:i:1:p:70-86
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    Cited by:

    1. Khatami, Mostafa & Salehipour, Amir & Cheng, T.C.E., 2020. "Coupled task scheduling with exact delays: Literature review and models," European Journal of Operational Research, Elsevier, vol. 282(1), pages 19-39.
    2. Imen Hamdi & Imen Boujneh, 2022. "Particle swarm optimization based-algorithms to solve the two-machine cross-docking flow shop problem: just in time scheduling," Journal of Combinatorial Optimization, Springer, vol. 44(2), pages 947-969, September.

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