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Tabu search for a parallel-machine scheduling problem with periodic maintenance, job rejection and weighted sum of completion times

Author

Listed:
  • Hanane Krim

    (Polytechnic University of Hauts-de-France LAMIH)

  • Nicolas Zufferey

    (University of Geneva
    Logistics and Transportation (CIRRELT))

  • Jean-Yves Potvin

    (University of Montreal
    Logistics and Transportation (CIRRELT))

  • Rachid Benmansour

    (Polytechnic University of Hauts-de-France LAMIH
    INSEA, SI2M Laboratory)

  • David Duvivier

    (Polytechnic University of Hauts-de-France LAMIH)

Abstract

We consider in this work a bicriteria scheduling problem on two different parallel machines with a periodic preventive maintenance policy. The two objectives considered involve minimization of job rejection costs and weighted sum of completion times. They are handled through a lexicographic approach, due to a natural hierarchy among the two objectives in the applications considered. The main contributions of this paper are first to present a new problem relevant to practice, second, to develop a mixed-integer-linear-program model for the problem, and third, to introduce two generalizable tabu-search metaheuristics relying on different neighborhood structures and solution spaces. Computational results for 120 instances (generated from a real case) are reported to empirically demonstrate the effectiveness of the proposed metaheuristics.

Suggested Citation

  • Hanane Krim & Nicolas Zufferey & Jean-Yves Potvin & Rachid Benmansour & David Duvivier, 2022. "Tabu search for a parallel-machine scheduling problem with periodic maintenance, job rejection and weighted sum of completion times," Journal of Scheduling, Springer, vol. 25(1), pages 89-105, February.
    • Handle: RePEc:spr:jsched:v:25:y:2022:i:1:d:10.1007_s10951-021-00711-9
    DOI: 10.1007/s10951-021-00711-9
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    References listed on IDEAS

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    Cited by:

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