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Scheduling a two-stage hybrid flow shop with parallel machines at the first stage

Author

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  • J.N.D. Gupta
  • A.M.A. Hariri
  • C.N. Potts

Abstract

This paper considers a non-preemptive two-stage hybrid flow shop problem in which the first stage contains several identical machines, and the second stage contains a single machine. Each job is to be processed on one of the first-stage machines, and then on the second-stage machine. The objective is to find a schedule which minimizes the maximum completion time or makespan. The problem is NP-hard in the strong sense, even when there are two machines at the first stage. Several lower bounds are derived and are tested in a branch and bound algorithm. Also, constructive heuristics are presented, and a descent algorithm is proposed. Extensive computational tests with up to 250 jobs, and up to 10 machines in the first stage, indicate that some of the heuristics consistently generate optimal or near-optimal solutions. Copyright Kluwer Academic Publishers 1997

Suggested Citation

  • J.N.D. Gupta & A.M.A. Hariri & C.N. Potts, 1997. "Scheduling a two-stage hybrid flow shop with parallel machines at the first stage," Annals of Operations Research, Springer, vol. 69(0), pages 171-191, January.
    • Handle: RePEc:spr:annopr:v:69:y:1997:i:0:p:171-191:10.1023/a:1018976827443
    DOI: 10.1023/A:1018976827443
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    Citations

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    Cited by:

    1. Jin, Zhihong & Yang, Zan & Ito, Takahiro, 2006. "Metaheuristic algorithms for the multistage hybrid flowshop scheduling problem," International Journal of Production Economics, Elsevier, vol. 100(2), pages 322-334, April.
    2. Luo, Hao & Du, Bing & Huang, George Q. & Chen, Huaping & Li, Xiaolin, 2013. "Hybrid flow shop scheduling considering machine electricity consumption cost," International Journal of Production Economics, Elsevier, vol. 146(2), pages 423-439.
    3. Ruiz, Ruben & Maroto, Concepcion, 2006. "A genetic algorithm for hybrid flowshops with sequence dependent setup times and machine eligibility," European Journal of Operational Research, Elsevier, vol. 169(3), pages 781-800, March.
    4. Oguz, C. & Fikret Ercan, M. & Edwin Cheng, T. C. & Fung, Y. F., 2003. "Heuristic algorithms for multiprocessor task scheduling in a two-stage hybrid flow-shop," European Journal of Operational Research, Elsevier, vol. 149(2), pages 390-403, September.
    5. Néron, Emmanuel & Baptiste, Philippe & Gupta, Jatinder N. D., 2001. "Solving hybrid flow shop problem using energetic reasoning and global operations," Omega, Elsevier, vol. 29(6), pages 501-511, December.
    6. Zhang, Xiandong & van de Velde, Steef, 2012. "Approximation algorithms for the parallel flow shop problem," European Journal of Operational Research, Elsevier, vol. 216(3), pages 544-552.
    7. Wilson, Amy D. & King, Russell E. & Wilson, James R., 2004. "Case study on statistically estimating minimum makespan for flow line scheduling problems," European Journal of Operational Research, Elsevier, vol. 155(2), pages 439-454, June.
    8. Sung, C.S. & Kim, Hyun Ah, 2008. "A two-stage multiple-machine assembly scheduling problem for minimizing sum of completion times," International Journal of Production Economics, Elsevier, vol. 113(2), pages 1038-1048, June.
    9. Ruiz, Rubén & Vázquez-Rodríguez, José Antonio, 2010. "The hybrid flow shop scheduling problem," European Journal of Operational Research, Elsevier, vol. 205(1), pages 1-18, August.

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