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Solving an integrated job-shop problem with human resource constraints

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  • Olivier Guyon
  • Pierre Lemaire
  • Éric Pinson
  • David Rivreau

Abstract

We propose two exact methods to solve an integrated employee-timetable and job-shop-scheduling problem. The problem is to find a minimum cost employee-timetable, where employees have different competences and work during shifts, so that the production, that corresponds to a job-shop with resource availability constraints, can be achieved. We introduce two new exact procedures: (1) a decomposition and cut generation approach and (2) a hybridization of a cut generation process with a branch and bound strategy. We also propose initial cuts that strongly improve these methods as well as a standard MIP approach. The computational performances of those methods on benchmark instances are compared to that of other methods from the literature. Copyright Springer Science+Business Media, LLC 2014

Suggested Citation

  • Olivier Guyon & Pierre Lemaire & Éric Pinson & David Rivreau, 2014. "Solving an integrated job-shop problem with human resource constraints," Annals of Operations Research, Springer, vol. 213(1), pages 147-171, February.
  • Handle: RePEc:spr:annopr:v:213:y:2014:i:1:p:147-171:10.1007/s10479-012-1132-3
    DOI: 10.1007/s10479-012-1132-3
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    References listed on IDEAS

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    Cited by:

    1. Fang, Kan & Wang, Shijin & Pinedo, Michael L. & Chen, Lin & Chu, Feng, 2021. "A combinatorial Benders decomposition algorithm for parallel machine scheduling with working-time restrictions," European Journal of Operational Research, Elsevier, vol. 291(1), pages 128-146.
    2. Volland, Jonas & Fügener, Andreas & Brunner, Jens O., 2017. "A column generation approach for the integrated shift and task scheduling problem of logistics assistants in hospitals," European Journal of Operational Research, Elsevier, vol. 260(1), pages 316-334.
    3. Jose L. Andrade-Pineda & David Canca & Pedro L. Gonzalez-R & M. Calle, 2020. "Scheduling a dual-resource flexible job shop with makespan and due date-related criteria," Annals of Operations Research, Springer, vol. 291(1), pages 5-35, August.
    4. Miloš Milenković & Susana Val & Nebojša Bojović, 2023. "Simultaneous lot sizing and scheduling in the animal feed premix industry," Operational Research, Springer, vol. 23(2), pages 1-40, June.

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