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Total flowtime and makespan for a no-wait m-machine flowshop with set-up times separated

Author

Listed:
  • S I Brown

    (Navair Air Systems Command)

  • R G McGarvey

    (RAND)

  • J A Ventura

    (The Pennsylvania State University)

Abstract

This paper addresses the m-machine no-wait flowshop problem where the set-up time of a job is separated from its processing time. The performance measures considered are the total flowtime and makespan. The scheduling problem for makespan reduces to the travelling salesman problem (TSP), and the scheduling problem for total flowtime reduces to the time-dependent travelling salesman problem (TDTSP). Non-polynomial time solution methods are presented, along with a polynomial heuristic.

Suggested Citation

  • S I Brown & R G McGarvey & J A Ventura, 2004. "Total flowtime and makespan for a no-wait m-machine flowshop with set-up times separated," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 55(6), pages 614-621, June.
    • Handle: RePEc:pal:jorsoc:v:55:y:2004:i:6:d:10.1057_palgrave.jors.2601695
    DOI: 10.1057/palgrave.jors.2601695
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    References listed on IDEAS

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    1. S. Lin & B. W. Kernighan, 1973. "An Effective Heuristic Algorithm for the Traveling-Salesman Problem," Operations Research, INFORMS, vol. 21(2), pages 498-516, April.
    2. Teofilo Gonzalez & Sartaj Sahni, 1978. "Flowshop and Jobshop Schedules: Complexity and Approximation," Operations Research, INFORMS, vol. 26(1), pages 36-52, February.
    3. Nicholas G. Hall & Chelliah Sriskandarajah, 1996. "A Survey of Machine Scheduling Problems with Blocking and No-Wait in Process," Operations Research, INFORMS, vol. 44(3), pages 510-525, June.
    4. Allahverdi, Ali & Gupta, Jatinder N. D. & Aldowaisan, Tariq, 1999. "A review of scheduling research involving setup considerations," Omega, Elsevier, vol. 27(2), pages 219-239, April.
    5. Helsgaun, Keld, 2000. "An effective implementation of the Lin-Kernighan traveling salesman heuristic," European Journal of Operational Research, Elsevier, vol. 126(1), pages 106-130, October.
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    Cited by:

    1. Allahverdi, Ali, 2016. "A survey of scheduling problems with no-wait in process," European Journal of Operational Research, Elsevier, vol. 255(3), pages 665-686.
    2. 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.
    3. J N D Gupta & J E Schaller, 2006. "Minimizing flow time in a flow-line manufacturing cell with family setup times," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 57(2), pages 163-176, February.
    4. Rubén Ruiz & Ali Allahverdi, 2007. "Some effective heuristics for no-wait flowshops with setup times to minimize total completion time," Annals of Operations Research, Springer, vol. 156(1), pages 143-171, December.

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