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Evolutionary multiobjective optimization for the multi-machine flow shop scheduling problem under blocking

Author

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  • Nouha Nouri

    (Université de Tunis)

  • Talel Ladhari

    (Université de Tunis
    Umm Al-Qura University)

Abstract

Recently, the flow shop scheduling problem under blocking has gained broad attention in academic fields. Various papers have been devoted to investigate this issue and have been mostly restricted to the treatment of single objective at a time. Nevertheless, in practice the scheduling decisions often involve simultaneous consideration of multiple objectives (usually contradicting) to give more realistic solutions to the decision maker. In this study, we deal with a bi-objective blocking permutation flow shop scheduling problem where the makespan and total completion time are considered as objective functions. Both measures lead to an NP-hard problem. Our interest is to propose for the first time a Genetic Algorithm based on NSGA-II for searching locally Pareto-optimal frontier for the problem under consideration. The individuals in the algorithm are represented as discrete job permutations. Some specific versions of the NEH heuristic are used to generate the initial population. Non-dominated solutions and differences among parents are taken advantage of when designing the selection operator. The efficiency of the proposed algorithm, based on various metrics, is compared against the multiobjective evolutionary algorithm SPEA-II.

Suggested Citation

  • Nouha Nouri & Talel Ladhari, 2018. "Evolutionary multiobjective optimization for the multi-machine flow shop scheduling problem under blocking," Annals of Operations Research, Springer, vol. 267(1), pages 413-430, August.
    • Handle: RePEc:spr:annopr:v:267:y:2018:i:1:d:10.1007_s10479-017-2465-8
    DOI: 10.1007/s10479-017-2465-8
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    References listed on IDEAS

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    1. Débora Ronconi, 2005. "A Branch-and-Bound Algorithm to Minimize the Makespan in a Flowshop with Blocking," Annals of Operations Research, Springer, vol. 138(1), pages 53-65, September.
    2. Ribas, Imma & Companys, Ramon & Tort-Martorell, Xavier, 2011. "An iterated greedy algorithm for the flowshop scheduling problem with blocking," Omega, Elsevier, vol. 39(3), pages 293-301, June.
    3. Toktas, Berkin & Azizoglu, Meral & Koksalan, Suna Kondakci, 2004. "Two-machine flow shop scheduling with two criteria: Maximum earliness and makespan," European Journal of Operational Research, Elsevier, vol. 157(2), pages 286-295, September.
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    6. Lin, Shih-Wei & Ying, Kuo-Ching, 2013. "Minimizing makespan in a blocking flowshop using a revised artificial immune system algorithm," Omega, Elsevier, vol. 41(2), pages 383-389.
    7. Ronconi, Débora P. & Henriques, Luís R.S., 2009. "Some heuristic algorithms for total tardiness minimization in a flowshop with blocking," Omega, Elsevier, vol. 37(2), pages 272-281, April.
    8. A. R. Rahimi-Vahed & S. M. Mirghorbani, 2007. "A multi-objective particle swarm for a flow shop scheduling problem," Journal of Combinatorial Optimization, Springer, vol. 13(1), pages 79-102, January.
    9. D P Ronconi & V A Armentano, 2001. "Lower bounding schemes for flowshops with blocking in-process," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 52(11), pages 1289-1297, November.
    10. Grabowski, Jøzef & Pempera, Jaroslaw, 2007. "The permutation flow shop problem with blocking. A tabu search approach," Omega, Elsevier, vol. 35(3), pages 302-311, June.
    11. Caraffa, Vince & Ianes, Stefano & P. Bagchi, Tapan & Sriskandarajah, Chelliah, 2001. "Minimizing makespan in a blocking flowshop using genetic algorithms," International Journal of Production Economics, Elsevier, vol. 70(2), pages 101-115, March.
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    Cited by:

    1. Amalia Utamima & Torsten Reiners & Amir H. Ansaripoor, 2022. "Evolutionary neighborhood discovery algorithm for agricultural routing planning in multiple fields," Annals of Operations Research, Springer, vol. 316(2), pages 955-977, September.
    2. Said Aqil & Karam Allali, 2021. "On a bi-criteria flow shop scheduling problem under constraints of blocking and sequence dependent setup time," Annals of Operations Research, Springer, vol. 296(1), pages 615-637, January.
    3. Chen-Fu Chien & Chung-Jen Kuo & Chih-Min Yu, 2020. "Tool allocation to smooth work-in-process for cycle time reduction and an empirical study," Annals of Operations Research, Springer, vol. 290(1), pages 1009-1033, July.

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