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Permutation flowshops in group scheduling with sequence-dependent setup times

Author

Listed:
  • B. Naderi
  • Nasser Salmasi

Abstract

This paper focuses on the flow shop sequence dependent group scheduling (FSDGS) problem with minimisation of total completion time as the criterion (Fm|fmls, prmu, Splk|ΣCJ). The research problem is formulated in form of two different mixed integer linear programming (MILP) models. Comparing with the latest MILP model for the proposed problem in the literature, the complexity size of the proposed models are significantly reduced. One of the proposed mathematical models is so effective that even medium-sized instances (problems up to 60 jobs in all groups) are solved to optimality in a reasonable amount of time. Moreover, a metaheuristic hybridising genetic and simulated annealing algorithm, called GSA, is proposed to solve the problems heuristically. All the results and analyses show the high performance of the proposed mathematical models as well as the proposed metaheuristic algorithm compared to the available ones in literature. [Received 11 February 2010; Revised 24 May 2010; Accepted 30 September 2010]

Suggested Citation

  • B. Naderi & Nasser Salmasi, 2012. "Permutation flowshops in group scheduling with sequence-dependent setup times," European Journal of Industrial Engineering, Inderscience Enterprises Ltd, vol. 6(2), pages 177-198.
  • Handle: RePEc:ids:eujine:v:6:y:2012:i:2:p:177-198
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    Citations

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    Cited by:

    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. Taha Keshavarz & Nasser Salmasi & Mohsen Varmazyar, 2015. "Minimizing total completion time in the flexible flowshop sequence-dependent group scheduling problem," Annals of Operations Research, Springer, vol. 226(1), pages 351-377, March.
    3. He, Xuan & Pan, Quan-Ke & Gao, Liang & Neufeld, Janis S., 2023. "An asymmetric traveling salesman problem based matheuristic algorithm for flowshop group scheduling problem," European Journal of Operational Research, Elsevier, vol. 310(2), pages 597-610.
    4. He, Xuan & Pan, Quan-Ke & Gao, Liang & Neufeld, Janis S. & Gupta, Jatinder N.D., 2024. "Historical information based iterated greedy algorithm for distributed flowshop group scheduling problem with sequence-dependent setup times," Omega, Elsevier, vol. 123(C).
    5. Mohammad Reza Hosseinzadeh & Mehdi Heydari & Mohammad Mahdavi Mazdeh, 2022. "Mathematical modeling and two metaheuristic algorithms for integrated process planning and group scheduling with sequence-dependent setup time," Operational Research, Springer, vol. 22(5), pages 5055-5105, November.
    6. Antonio Costa & Fulvio Antonio Cappadonna & Sergio Fichera, 2017. "A hybrid genetic algorithm for minimizing makespan in a flow-shop sequence-dependent group scheduling problem," Journal of Intelligent Manufacturing, Springer, vol. 28(6), pages 1269-1283, August.
    7. Liou, Cheng-Dar & Hsieh, Yi-Chih, 2015. "A hybrid algorithm for the multi-stage flow shop group scheduling with sequence-dependent setup and transportation times," International Journal of Production Economics, Elsevier, vol. 170(PA), pages 258-267.

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