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A Statistical Comparison of Metaheuristics for Unrelated Parallel Machine Scheduling Problems with Setup Times

Author

Listed:
  • Ana Rita Antunes

    (ALGORITMI Center, University of Minho, 4710-057 Braga, Portugal)

  • Marina A. Matos

    (ALGORITMI Center, University of Minho, 4710-057 Braga, Portugal)

  • Ana Maria A. C. Rocha

    (ALGORITMI Center, University of Minho, 4710-057 Braga, Portugal)

  • Lino A. Costa

    (ALGORITMI Center, University of Minho, 4710-057 Braga, Portugal)

  • Leonilde R. Varela

    (ALGORITMI Center, University of Minho, 4710-057 Braga, Portugal)

Abstract

Manufacturing scheduling aims to optimize one or more performance measures by allocating a set of resources to a set of jobs or tasks over a given period of time. It is an area that considers a very important decision-making process for manufacturing and production systems. In this paper, the unrelated parallel machine scheduling problem with machine-dependent and job-sequence-dependent setup times is addressed. This problem involves the scheduling of tasks on unrelated machines with setup times in order to minimize the makespan. The genetic algorithm is used to solve small and large instances of this problem when processing and setup times are balanced (Balanced problems), when processing times are dominant (Dominant P problems), and when setup times are dominant (Dominant S problems). For small instances, most of the values achieved the optimal makespan value, and, when compared to the metaheuristic ant colony optimization (ACOII) algorithm referred to in the literature, it was found that there were no significant differences between the two methods. However, in terms of large instances, there were significant differences between the optimal makespan obtained by the two methods, revealing overall better performance by the genetic algorithm for Dominant S and Dominant P problems.

Suggested Citation

  • Ana Rita Antunes & Marina A. Matos & Ana Maria A. C. Rocha & Lino A. Costa & Leonilde R. Varela, 2022. "A Statistical Comparison of Metaheuristics for Unrelated Parallel Machine Scheduling Problems with Setup Times," Mathematics, MDPI, vol. 10(14), pages 1-19, July.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:14:p:2431-:d:861016
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    References listed on IDEAS

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    1. Allahverdi, Ali, 2015. "The third comprehensive survey on scheduling problems with setup times/costs," European Journal of Operational Research, Elsevier, vol. 246(2), pages 345-378.
    2. Qiang Yang & Xu Guo & Xu-Dong Gao & Dong-Dong Xu & Zhen-Yu Lu, 2022. "Differential Elite Learning Particle Swarm Optimization for Global Numerical Optimization," Mathematics, MDPI, vol. 10(8), pages 1-32, April.
    3. Blazewicz, Jacek & Domschke, Wolfgang & Pesch, Erwin, 1996. "The job shop scheduling problem: Conventional and new solution techniques," European Journal of Operational Research, Elsevier, vol. 93(1), pages 1-33, August.
    4. Robert McNaughton, 1959. "Scheduling with Deadlines and Loss Functions," Management Science, INFORMS, vol. 6(1), pages 1-12, October.
    5. Gendreau, Michel & Laporte, Gilbert & Guimaraes, Eduardo Morais, 2001. "A divide and merge heuristic for the multiprocessor scheduling problem with sequence dependent setup times," European Journal of Operational Research, Elsevier, vol. 133(1), pages 183-189, August.
    6. Ghirardi, M. & Potts, C. N., 2005. "Makespan minimization for scheduling unrelated parallel machines: A recovering beam search approach," European Journal of Operational Research, Elsevier, vol. 165(2), pages 457-467, September.
    7. Tan, Zhiyi & Chen, Yong & Zhang, An, 2011. "Parallel machines scheduling with machine maintenance for minsum criteria," European Journal of Operational Research, Elsevier, vol. 212(2), pages 287-292, July.
    8. Jacek Błażewicz & Maciej Machowiak & Jan Węglarz & Mikhail Kovalyov & Denis Trystram, 2004. "Scheduling Malleable Tasks on Parallel Processors to Minimize the Makespan," Annals of Operations Research, Springer, vol. 129(1), pages 65-80, July.
    9. Fanjul-Peyro, Luis & Perea, Federico & Ruiz, Rubén, 2017. "Models and matheuristics for the unrelated parallel machine scheduling problem with additional resources," European Journal of Operational Research, Elsevier, vol. 260(2), pages 482-493.
    10. Vallada, Eva & Ruiz, Rubén, 2011. "A genetic algorithm for the unrelated parallel machine scheduling problem with sequence dependent setup times," European Journal of Operational Research, Elsevier, vol. 211(3), pages 612-622, June.
    11. Asiye Aydilek & Harun Aydilek & Ali Allahverdi, 2017. "Minimising maximum tardiness in assembly flowshops with setup times," International Journal of Production Research, Taylor & Francis Journals, vol. 55(24), pages 7541-7565, December.
    12. Tang, Lixin & Wang, Xianpeng, 2009. "Simultaneously scheduling multiple turns for steel color-coating production," European Journal of Operational Research, Elsevier, vol. 198(3), pages 715-725, November.
    13. Lei Xu & Qian Wang & Simin Huang, 2015. "Dynamic order acceptance and scheduling problem with sequence-dependent setup time," International Journal of Production Research, Taylor & Francis Journals, vol. 53(19), pages 5797-5808, October.
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