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Solving Permutation Flow Shop Scheduling Problem with Sequence-Independent Setup Time

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  • Jabrane Belabid
  • Said Aqil
  • Karam Allali

Abstract

In this paper, we study the resolution of a permutation flow shop problem with sequence-independent setup time. The objective is to minimize the maximum of job completion time, also called the makespan. In this contribution, we propose three methods of resolution, a mixed-integer linear programming (MILP) model; two heuristics, the first based on Johnson’s rule and the second based on the NEH algorithm; and finally two metaheuristics, the iterative local search algorithm and the iterated greedy algorithm. A set of test problems is simulated numerically to validate the effectiveness of our resolution approaches. For relatively small-size problems, it has been revealed that the adapted NEH heuristic has the best performance than that of the Johnson-based heuristic. For the relatively medium and large problems, the comparative study between the two metaheuristics based on the exploration of the neighborhood shows that the iterated greedy algorithm records the best performances.

Suggested Citation

  • Jabrane Belabid & Said Aqil & Karam Allali, 2020. "Solving Permutation Flow Shop Scheduling Problem with Sequence-Independent Setup Time," Journal of Applied Mathematics, Hindawi, vol. 2020, pages 1-11, January.
    • Handle: RePEc:hin:jnljam:7132469
    DOI: 10.1155/2020/7132469
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    Cited by:

    1. Deepak Gupta & Sonia Goel & Neeraj Mangla, 2022. "Optimization of production scheduling in two stage Flow Shop Scheduling problem with m equipotential machines at first stage," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 13(3), pages 1162-1169, June.

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