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Scheduling with multi-attribute set-up times on unrelated parallel machines

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  • Ching-Jong Liao
  • Cheng-Hsiung Lee
  • Hsing-Tzu Tsai

Abstract

This paper studies a problem in the knitting process of the textile industry. In such a production system, each job has a number of attributes and each attribute has one or more levels. Because there is at least one different attribute level between two adjacent jobs, it is necessary to make a set-up adjustment whenever there is a switch to a different job. The problem can be formulated as a scheduling problem with multi-attribute set-up times on unrelated parallel machines. The objective of the problem is to assign jobs to different machines to minimise the makespan. A constructive heuristic is developed to obtain a qualified solution. To improve the solution further, a meta-heuristic that uses a genetic algorithm with a new crossover operator and three local searches are proposed. The computational experiments show that the proposed constructive heuristic outperforms two existed heuristics and the current scheduling method used by the case textile plant.

Suggested Citation

  • Ching-Jong Liao & Cheng-Hsiung Lee & Hsing-Tzu Tsai, 2016. "Scheduling with multi-attribute set-up times on unrelated parallel machines," International Journal of Production Research, Taylor & Francis Journals, vol. 54(16), pages 4839-4853, August.
    • Handle: RePEc:taf:tprsxx:v:54:y:2016:i:16:p:4839-4853
    DOI: 10.1080/00207543.2015.1118574
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    References listed on IDEAS

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    1. Tang, Christopher S., 1990. "Scheduling batches on parallel machines with major and minor set-ups," European Journal of Operational Research, Elsevier, vol. 46(1), pages 28-37, May.
    2. Fanjul-Peyro, Luis & Ruiz, Rubén, 2010. "Iterated greedy local search methods for unrelated parallel machine scheduling," European Journal of Operational Research, Elsevier, vol. 207(1), pages 55-69, November.
    3. Allahverdi, Ali & Ng, C.T. & Cheng, T.C.E. & Kovalyov, Mikhail Y., 2008. "A survey of scheduling problems with setup times or costs," European Journal of Operational Research, Elsevier, vol. 187(3), pages 985-1032, June.
    4. 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.
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    Cited by:

    1. Yung-Chia Chang & Kuei-Hu Chang & Ching-Ping Zheng, 2022. "Application of a Non-Dominated Sorting Genetic Algorithm to Solve a Bi-Objective Scheduling Problem Regarding Printed Circuit Boards," Mathematics, MDPI, vol. 10(13), pages 1-21, July.
    2. Nesello, Vitor & Subramanian, Anand & Battarra, Maria & Laporte, Gilbert, 2018. "Exact solution of the single-machine scheduling problem with periodic maintenances and sequence-dependent setup times," European Journal of Operational Research, Elsevier, vol. 266(2), pages 498-507.

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