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Minimizing the makespan for the MPM job-shop with availability constraints

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  • Zribi, N.
  • El Kamel, A.
  • Borne, P.

Abstract

In this paper, we deal with the Job-shop with Multi-Purpose Machine scheduling problem with Availability Constraints (JMPMAC). In the first part, we propose a heuristic, based on priority rules to solve the assignment problem. A local search algorithm is then introduced to improve this assignment solution. In the second part, we introduce a genetic algorithm to solve the sequencing problem. Finally, a new lower bound is developed for the problem to evaluate the quality of solutions.

Suggested Citation

  • Zribi, N. & El Kamel, A. & Borne, P., 2008. "Minimizing the makespan for the MPM job-shop with availability constraints," International Journal of Production Economics, Elsevier, vol. 112(1), pages 151-160, March.
    • Handle: RePEc:eee:proeco:v:112:y:2008:i:1:p:151-160
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    References listed on IDEAS

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    1. Sheldon B. Akers & Joyce Friedman, 1955. "A Non-Numerical Approach to Production Scheduling Problems," Operations Research, INFORMS, vol. 3(4), pages 429-442, November.
    2. Lee, Chung-Yee, 1999. "Two-machine flowshop scheduling with availability constraints," European Journal of Operational Research, Elsevier, vol. 114(2), pages 420-429, April.
    3. Schmidt, Gunter, 2000. "Scheduling with limited machine availability," European Journal of Operational Research, Elsevier, vol. 121(1), pages 1-15, February.
    4. Carlier, Jacques, 1987. "Scheduling jobs with release dates and tails on identical machines to minimize the makespan," European Journal of Operational Research, Elsevier, vol. 29(3), pages 298-306, June.
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    Cited by:

    1. Li, Jun-qing & Pan, Quan-ke, 2013. "Chemical-reaction optimization for solving fuzzy job-shop scheduling problem with flexible maintenance activities," International Journal of Production Economics, Elsevier, vol. 145(1), pages 4-17.
    2. Seyed Habib A. Rahmati & Abbas Ahmadi & Kannan Govindan, 2018. "A novel integrated condition-based maintenance and stochastic flexible job shop scheduling problem: simulation-based optimization approach," Annals of Operations Research, Springer, vol. 269(1), pages 583-621, October.
    3. Behrooz Shahbazi & Seyed Habib A. Rahmati, 2021. "Developing a Flexible Manufacturing Control System Considering Mixed Uncertain Predictive Maintenance Model: a Simulation-Based Optimization Approach," SN Operations Research Forum, Springer, vol. 2(4), pages 1-43, December.
    4. Chiang, Tsung-Che & Lin, Hsiao-Jou, 2013. "A simple and effective evolutionary algorithm for multiobjective flexible job shop scheduling," International Journal of Production Economics, Elsevier, vol. 141(1), pages 87-98.
    5. Dauzère-Pérès, Stéphane & Ding, Junwen & Shen, Liji & Tamssaouet, Karim, 2024. "The flexible job shop scheduling problem: A review," European Journal of Operational Research, Elsevier, vol. 314(2), pages 409-432.

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