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A re-entrant hybrid flow shop scheduling problem with machine eligibility constraints

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  • Xiang Yi Zhang
  • Lu Chen

Abstract

A production scheduling problem originating from a real rotor workshop is addressed in the paper. Given its specific characteristics, the problem is formulated as a re-entrant hybrid flow shop scheduling problem with machine eligibility constraints. A mixed integer linear programming model of the problem is provided and solved by the Cplex solver. In order to solve larger sized problems, a discrete differential evolution (DDE) algorithm with a modified crossover operator is proposed. More importantly, a new decoder addressing the machine eligibility constraints is developed and embedded to the algorithm. To validate the performance of the proposed DDE algorithm, various test problems are examined. The efficiency of the proposed algorithm is compared with two other algorithms modified from the existing ones in the literatures. A one-way ANOVA analysis and a sensitivity analysis are applied to intensify the superiority of the new decoder. Tightness of due dates and different levels of scarcity of machines subject to machine eligibility restrictions are discussed in the sensitivity analysis. The results indicate the pre-eminence of the new decoder and the proposed DDE algorithm.

Suggested Citation

  • Xiang Yi Zhang & Lu Chen, 2018. "A re-entrant hybrid flow shop scheduling problem with machine eligibility constraints," International Journal of Production Research, Taylor & Francis Journals, vol. 56(16), pages 5293-5305, August.
    • Handle: RePEc:taf:tprsxx:v:56:y:2018:i:16:p:5293-5305
    DOI: 10.1080/00207543.2017.1408971
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    Cited by:

    1. Wenjuan Fan & Yi Wang & Tongzhu Liu & Guixian Tong, 2020. "A patient flow scheduling problem in ophthalmology clinic solved by the hybrid EDA–VNS algorithm," Journal of Combinatorial Optimization, Springer, vol. 39(2), pages 547-580, February.
    2. Maedeh Fasihi & Reza Tavakkoli-Moghaddam & Fariborz Jolai, 2023. "A bi-objective re-entrant permutation flow shop scheduling problem: minimizing the makespan and maximum tardiness," Operational Research, Springer, vol. 23(2), pages 1-41, June.
    3. Hongtao Tang & Jiahao Zhou & Yiping Shao & Zhixiong Yang, 2023. "Hybrid Flow-Shop Scheduling Problems with Missing and Re-Entrant Operations Considering Process Scheduling and Production of Energy Consumption," Sustainability, MDPI, vol. 15(10), pages 1-19, May.

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