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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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    1. Richard L. Daniels & Joseph B. Mazzola, 1994. "Flow Shop Scheduling with Resource Flexibility," Operations Research, INFORMS, vol. 42(3), pages 504-522, June.
    2. Carlier, Jacques, 1982. "The one-machine sequencing problem," European Journal of Operational Research, Elsevier, vol. 11(1), pages 42-47, September.
    3. Guoqing Wang & Hongyi Sun & Chengbin Chu, 2005. "Preemptive Scheduling with Availability Constraints to Minimize Total Weighted Completion Times," Annals of Operations Research, Springer, vol. 133(1), pages 183-192, January.
    4. Schmidt, Gunter, 2000. "Scheduling with limited machine availability," European Journal of Operational Research, Elsevier, vol. 121(1), pages 1-15, February.
    5. Aggoune, Riad, 2004. "Minimizing the makespan for the flow shop scheduling problem with availability constraints," European Journal of Operational Research, Elsevier, vol. 153(3), pages 534-543, March.
    6. J. N. Hooker, 2007. "Planning and Scheduling by Logic-Based Benders Decomposition," Operations Research, INFORMS, vol. 55(3), pages 588-602, June.
    7. Blazewicz, J. & Finke, G. & Haupt, R. & Schmidt, G., 1988. "New trends in machine scheduling," European Journal of Operational Research, Elsevier, vol. 37(3), pages 303-317, December.
    8. Carlier, J. & Pinson, E., 1994. "Adjustment of heads and tails for the job-shop problem," European Journal of Operational Research, Elsevier, vol. 78(2), pages 146-161, October.
    9. Guyon, O. & Lemaire, P. & Pinson, É. & Rivreau, D., 2010. "Cut generation for an integrated employee timetabling and production scheduling problem," European Journal of Operational Research, Elsevier, vol. 201(2), pages 557-567, March.
    10. Zhi-Long Chen, 2004. "Simultaneous Job Scheduling and Resource Allocation on Parallel Machines," Annals of Operations Research, Springer, vol. 129(1), pages 135-153, July.
    11. J. Carlier & E. Pinson, 1989. "An Algorithm for Solving the Job-Shop Problem," Management Science, INFORMS, vol. 35(2), pages 164-176, February.
    12. Ernst, A. T. & Jiang, H. & Krishnamoorthy, M. & Sier, D., 2004. "Staff scheduling and rostering: A review of applications, methods and models," European Journal of Operational Research, Elsevier, vol. 153(1), pages 3-27, February.
    13. Liao, Lu-Wen & Sheen, Gwo-Ji, 2008. "Parallel machine scheduling with machine availability and eligibility constraints," European Journal of Operational Research, Elsevier, vol. 184(2), pages 458-467, January.
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    Cited by:

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    2. 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.
    3. 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.
    4. 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.

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