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Effective heuristics for the blocking flowshop scheduling problem with makespan minimization

Listed author(s):
  • Pan, Quan-Ke
  • Wang, Ling
Registered author(s):

    The blocking flowshop scheduling problem with makespan criterion has important applications in a variety of industrial systems. Heuristics that explore specific characteristics of the problem are essential for many practical systems to find good solutions with limited computational effort. This paper first presents two simple constructive heuristics, namely weighted profile fitting (wPF) and PW, based on the profile fitting (PF) approach of McCormick et al. [Sequencing in an assembly line with blocking to minimize cycle time. Operations Research 1989;37:925-36] and the characteristics of the problem. Then, three improved constructive heuristics, called PF-NEH, wPF-NEH, and PW-NEH, are proposed by combining the PF, wPF, and PW with the enumeration procedure of the Nawaz-Enscore-Ham (NEH) heuristic [A heuristic algorithm for the m-machine, n-job flow shop sequencing problem. OMEGA-International Journal of Management Science 1983;11:91-5] in an effective way. Thirdly, three composite heuristics i.e., PF-NEHLS, wPF-NEHLS, and PW-NEHLS, are developed by using the insertion-based local search method to improve the solutions generated by the constructive heuristics. Computational simulations and comparisons are carried out based on the well-known flowshop benchmarks of Taillard [Benchmarks for basic scheduling problems. European Journal of Operation Research 1993;64:278-85] that are considered as blocking flowshop instances. The results show that the presented constructive heuristics perform significantly better than the existing ones, and the proposed composite heuristics further improve the presented constructive heuristics by a considerable margin. In addition, 17 new best-known solutions for Taillard benchmarks with large scale are found by the presented heuristics.

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    Article provided by Elsevier in its journal Omega.

    Volume (Year): 40 (2012)
    Issue (Month): 2 (April)
    Pages: 218-229

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    Handle: RePEc:eee:jomega:v:40:y:2012:i:2:p:218-229
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    3. 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.
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    9. Ruiz, Ruben & Maroto, Concepcion, 2005. "A comprehensive review and evaluation of permutation flowshop heuristics," European Journal of Operational Research, Elsevier, vol. 165(2), pages 479-494, September.
    10. Li, Xiaoping & Wang, Qian & Wu, Cheng, 2009. "Efficient composite heuristics for total flowtime minimization in permutation flow shops," Omega, Elsevier, vol. 37(1), pages 155-164, February.
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    12. Nawaz, Muhammad & Enscore Jr, E Emory & Ham, Inyong, 1983. "A heuristic algorithm for the m-machine, n-job flow-shop sequencing problem," Omega, Elsevier, vol. 11(1), pages 91-95.
    13. Laha, Dipak & Sarin, Subhash C., 2009. "A heuristic to minimize total flow time in permutation flow shop," Omega, Elsevier, vol. 37(3), pages 734-739, June.
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    16. 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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