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A tabu search approach for proportionate multiprocessor open shop scheduling

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  • Tamer Abdelmaguid
  • Mohamed Shalaby
  • Mohamed Awwad

Abstract

In the multiprocessor open shop scheduling problem, jobs are to be processed on a set of processing centers—each having one or more parallel identical machines, while jobs do not have a pre-specified obligatory route. A special case is the proportionate multiprocessor open shop scheduling problem (PMOSP) in which the processing time on a given center is not job-dependent. Applications of the PMOSP are evident in health care systems, maintenance and repair shops, and quality auditing and final inspection operations in industry. In this paper, a tabu search (TS) approach is presented for solving the PMOSP with the objective of minimizing the makespan. The TS approach utilizes a neighborhood search function that is defined over a network representation of feasible solutions. A set of 100 benchmark problems from the literature is used to evaluate the performance of the developed approach. Experimentations show that the developed approach outperforms a previously developed genetic algorithm as it produces solutions with an average of less than 5 % deviation from a lower bound, and 40 % of its solutions are provably optimal. Copyright Springer Science+Business Media New York 2014

Suggested Citation

  • Tamer Abdelmaguid & Mohamed Shalaby & Mohamed Awwad, 2014. "A tabu search approach for proportionate multiprocessor open shop scheduling," Computational Optimization and Applications, Springer, vol. 58(1), pages 187-203, May.
    • Handle: RePEc:spr:coopap:v:58:y:2014:i:1:p:187-203
    DOI: 10.1007/s10589-013-9621-0
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    References listed on IDEAS

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    1. Fred Glover, 1989. "Tabu Search---Part I," INFORMS Journal on Computing, INFORMS, vol. 1(3), pages 190-206, August.
    2. Matta, Marie E. & Elmaghraby, Salah E., 2010. "Polynomial time algorithms for two special classes of the proportionate multiprocessor open shop," European Journal of Operational Research, Elsevier, vol. 201(3), pages 720-728, March.
    3. Eugeniusz Nowicki & Czeslaw Smutnicki, 1996. "A Fast Taboo Search Algorithm for the Job Shop Problem," Management Science, INFORMS, vol. 42(6), pages 797-813, June.
    4. Liaw, Ching-Fang, 2000. "A hybrid genetic algorithm for the open shop scheduling problem," European Journal of Operational Research, Elsevier, vol. 124(1), pages 28-42, July.
    5. Christian Prins, 2000. "Competitive genetic algorithms for the open-shop scheduling problem," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 52(3), pages 389-411, December.
    6. David Alcaide & Joaquín Sicilia & Daniele Vigo, 1997. "A tabu search algorithm for the Open Shop problem," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 5(2), pages 283-296, December.
    7. Bo Chen & Vitaly A. Strusevich, 1993. "Approximation Algorithms for Three-Machine Open Shop Scheduling," INFORMS Journal on Computing, INFORMS, vol. 5(3), pages 321-326, August.
    8. Grabowski, J. & Nowicki, E. & Zdrzalka, S., 1986. "A block approach for single-machine scheduling with release dates and due dates," European Journal of Operational Research, Elsevier, vol. 26(2), pages 278-285, August.
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    Cited by:

    1. Zeynep Adak & Mahmure Övül Arıoğlu & Serol Bulkan, 2022. "An ant colony optimization approach for the proportionate multiprocessor open shop," Journal of Combinatorial Optimization, Springer, vol. 43(4), pages 785-817, May.
    2. He, Xinxin & Wang, Zhijian & Li, Yanfeng & Khazhina, Svetlana & Du, Wenhua & Wang, Junyuan & Wang, Wenzhao, 2022. "Joint decision-making of parallel machine scheduling restricted in job-machine release time and preventive maintenance with remaining useful life constraints," Reliability Engineering and System Safety, Elsevier, vol. 222(C).
    3. Jiawei Zhang & Ling Wang & Lining Xing, 2019. "Large-scale medical examination scheduling technology based on intelligent optimization," Journal of Combinatorial Optimization, Springer, vol. 37(1), pages 385-404, January.
    4. Zeynep Adak & Mahmure Övül Arıoğlu Akan & Serol Bulkan, 0. "Multiprocessor open shop problem: literature review and future directions," Journal of Combinatorial Optimization, Springer, vol. 0, pages 1-23.
    5. Zeynep Adak & Mahmure Övül Arıoğlu Akan & Serol Bulkan, 2020. "Multiprocessor open shop problem: literature review and future directions," Journal of Combinatorial Optimization, Springer, vol. 40(2), pages 547-569, August.

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