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Flowshop scheduling problem to minimize total completion time with random and bounded processing times

Author

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  • Y N Sotskov

    (United Institute of Informatics Problems)

  • A Allahverdi

    (Kuwait University)

  • T-C Lai

    (National Taiwan University)

Abstract

The flowshop scheduling problems with n jobs processed on two or three machines, and with two jobs processed on k machines are addressed where jobs have random and bounded processing times. The probability distributions of random processing times are unknown, and only the lower and upper bounds of processing times are given before scheduling. In such cases, there may not exist a unique schedule that remains optimal for all feasible realizations of the processing times, and therefore, a set of schedules has to be considered which dominates all other schedules for the given criterion. We obtain sufficient conditions when transposition of two jobs minimizes total completion time for the cases of two and three machines. The geometrical approach is utilized for flowshop problem with two jobs and k machines.

Suggested Citation

  • Y N Sotskov & A Allahverdi & T-C Lai, 2004. "Flowshop scheduling problem to minimize total completion time with random and bounded processing times," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 55(3), pages 277-286, March.
    • Handle: RePEc:pal:jorsoc:v:55:y:2004:i:3:d:10.1057_palgrave.jors.2601682
    DOI: 10.1057/palgrave.jors.2601682
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    References listed on IDEAS

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    Cited by:

    1. Yuri N. Sotskov & Natalja M. Matsveichuk & Vadzim D. Hatsura, 2020. "Schedule Execution for Two-Machine Job-Shop to Minimize Makespan with Uncertain Processing Times," Mathematics, MDPI, vol. 8(8), pages 1-51, August.
    2. Allahverdi, Ali, 2006. "Two-machine flowshop scheduling problem to minimize total completion time with bounded setup and processing times," International Journal of Production Economics, Elsevier, vol. 103(1), pages 386-400, September.
    3. Che, Ada & Kats, Vladimir & Levner, Eugene, 2017. "An efficient bicriteria algorithm for stable robotic flow shop scheduling," European Journal of Operational Research, Elsevier, vol. 260(3), pages 964-971.

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