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On the multiresource flexible job‐shop scheduling problem with arbitrary precedence graphs

Author

Listed:
  • Gregory A. Kasapidis
  • Stéphane Dauzère‐Pérès
  • Dimitris C. Paraskevopoulos
  • Panagiotis P. Repoussis
  • Christos D. Tarantilis

Abstract

This paper aims at linking the work presented in Dauzère‐Pérès et al. (1998) and more recently in Kasapidis et al. (2021) on the multiresource flexible job‐shop scheduling problem with nonlinear routes or equivalently with arbitrary precedence graphs. In particular, we present a mixed integer linear programming (MIP) model and a constraint programming (CP) model to formulate the problem. We also compare the theorems introduced in Dauzère‐Pérès et al. (1998) and Kasapidis et al. (2021) and propose a new theorem extension. Computational experiments were conducted to assess the efficiency and effectiveness of all propositions. Lastly, the proposed MIP and CP models are tested on benchmark problems of the literature and comparisons are made with state‐of‐the‐art algorithms.

Suggested Citation

  • Gregory A. Kasapidis & Stéphane Dauzère‐Pérès & Dimitris C. Paraskevopoulos & Panagiotis P. Repoussis & Christos D. Tarantilis, 2023. "On the multiresource flexible job‐shop scheduling problem with arbitrary precedence graphs," Production and Operations Management, Production and Operations Management Society, vol. 32(7), pages 2322-2330, July.
    • Handle: RePEc:bla:popmgt:v:32:y:2023:i:7:p:2322-2330
    DOI: 10.1111/poms.13977
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    References listed on IDEAS

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    1. Stéphane Dauzère-Pérès & Jan Paulli, 1997. "An integrated approach for modeling and solving the general multiprocessor job-shop scheduling problem using tabu search," Annals of Operations Research, Springer, vol. 70(0), pages 281-306, April.
    2. Gregory A. Kasapidis & Dimitris C. Paraskevopoulos & Panagiotis P. Repoussis & Christos D. Tarantilis, 2021. "Flexible Job Shop Scheduling Problems with Arbitrary Precedence Graphs," Production and Operations Management, Production and Operations Management Society, vol. 30(11), pages 4044-4068, November.
    3. Ivens, Philip & Lambrecht, Marc, 1996. "Extending the shifting bottleneck procedure to real-life applications," European Journal of Operational Research, Elsevier, vol. 90(2), pages 252-268, April.
    4. González, Miguel A. & Vela, Camino R. & Varela, Ramiro, 2015. "Scatter search with path relinking for the flexible job shop scheduling problem," European Journal of Operational Research, Elsevier, vol. 245(1), pages 35-45.
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    1. 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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