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Flow-shop and job-shop robust scheduling problems with budgeted uncertainty

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  • Juvin, Carla
  • Houssin, Laurent
  • Lopez, Pierre

Abstract

In this paper, we study different solution methods for two two-stage robust, multi-machine scheduling problems, namely permutation flow-shop and job-shop scheduling problems under uncertainty budget. Compact formulations of the problems are proposed and two decomposition approaches are presented: a Benders decomposition approach and a column and constraint generation approach. Computational experiments show that for small-sized instances, a compact formulation of the problem quickly yields optimal solutions. However, for larger instances, decomposition methods, particularly the column and constraint generation method with a master problem solved using constraint programming, provide better quality solutions. An acceleration method for the column and constraint generation algorithm is proposed. This method is generic and can be applied to any two-stage robust optimisation problem.

Suggested Citation

  • Juvin, Carla & Houssin, Laurent & Lopez, Pierre, 2025. "Flow-shop and job-shop robust scheduling problems with budgeted uncertainty," European Journal of Operational Research, Elsevier, vol. 326(1), pages 54-68.
    • Handle: RePEc:eee:ejores:v:326:y:2025:i:1:p:54-68
    DOI: 10.1016/j.ejor.2025.04.012
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    References listed on IDEAS

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    1. Levorato, Mario & Figueiredo, Rosa & Frota, Yuri, 2022. "Exact solutions for the two-machine robust flow shop with budgeted uncertainty," European Journal of Operational Research, Elsevier, vol. 300(1), pages 46-57.
    2. David Applegate & William Cook, 1991. "A Computational Study of the Job-Shop Scheduling Problem," INFORMS Journal on Computing, INFORMS, vol. 3(2), pages 149-156, May.
    3. Dimitris Bertsimas & Melvyn Sim, 2004. "The Price of Robustness," Operations Research, INFORMS, vol. 52(1), pages 35-53, February.
    4. Hamaz, Idir & Houssin, Laurent & Cafieri, Sonia, 2024. "The robust cyclic job shop problem," European Journal of Operational Research, Elsevier, vol. 312(3), pages 855-865.
    5. Kasperski, Adam & Kurpisz, Adam & Zieliński, Paweł, 2012. "Approximating a two-machine flow shop scheduling under discrete scenario uncertainty," European Journal of Operational Research, Elsevier, vol. 217(1), pages 36-43.
    6. Harvey M. Wagner, 1959. "An integer linear‐programming model for machine scheduling," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 6(2), pages 131-140, June.
    7. Eugeniusz Nowicki & Czeslaw Smutnicki, 1996. "A Fast Taboo Search Algorithm for the Job Shop Problem," Management Science, INFORMS, vol. 42(6), pages 797-813, June.
    8. Balouka, Noemie & Cohen, Izack, 2021. "A robust optimization approach for the multi-mode resource-constrained project scheduling problem," European Journal of Operational Research, Elsevier, vol. 291(2), pages 457-470.
    9. Bruni, M.E. & Di Puglia Pugliese, L. & Beraldi, P. & Guerriero, F., 2017. "An adjustable robust optimization model for the resource-constrained project scheduling problem with uncertain activity durations," Omega, Elsevier, vol. 71(C), pages 66-84.
    10. Taillard, E., 1993. "Benchmarks for basic scheduling problems," European Journal of Operational Research, Elsevier, vol. 64(2), pages 278-285, January.
    11. Kuo-Ching Ying, 2015. "Scheduling the two-machine flowshop to hedge against processing time uncertainty," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 66(9), pages 1413-1425, September.
    12. Alan S. Manne, 1960. "On the Job-Shop Scheduling Problem," Operations Research, INFORMS, vol. 8(2), pages 219-223, April.
    13. Joseph Adams & Egon Balas & Daniel Zawack, 1988. "The Shifting Bottleneck Procedure for Job Shop Scheduling," Management Science, INFORMS, vol. 34(3), pages 391-401, March.
    14. Jain, A. S. & Meeran, S., 1999. "Deterministic job-shop scheduling: Past, present and future," European Journal of Operational Research, Elsevier, vol. 113(2), pages 390-434, March.
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