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Bicriteria optimisation of the makespan and mean flowtime on two identical parallel machines

Author

Listed:
  • J N D Gupta

    (Ball State University)

  • J C Ho

    (Columbus State University)

  • S Webster

    (Syracuse University)

Abstract

This paper proposes an efficient algorithm to solve optimally the bicriteria problem of minimising the weighted sum of makespan and mean flowtime on two identical parallel machines. The proposed algorithm allows the decision-maker to minimise makespan and flowtime simultaneously according to his or her relative preference as reflected through the weights placed on makespan and flowtime. Our computational results show that the proposed algorithm can solve optimally problem instances with a large number of jobs in a reasonably small amount of CPU time.

Suggested Citation

  • J N D Gupta & J C Ho & S Webster, 2000. "Bicriteria optimisation of the makespan and mean flowtime on two identical parallel machines," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 51(11), pages 1330-1339, November.
    • Handle: RePEc:pal:jorsoc:v:51:y:2000:i:11:d:10.1057_palgrave.jors.2601016
    DOI: 10.1057/palgrave.jors.2601016
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    Citations

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    Cited by:

    1. Huo, Yumei & Zhao, Hairong, 2015. "Total completion time minimization on multiple machines subject to machine availability and makespan constraints," European Journal of Operational Research, Elsevier, vol. 243(2), pages 547-554.
    2. Yumei Huo, 2019. "Parallel machine makespan minimization subject to machine availability and total completion time constraints," Journal of Scheduling, Springer, vol. 22(4), pages 433-447, August.
    3. Yang-Kuei Lin & Tzu-Yueh Yin, 2022. "Generating bicriteria schedules for correlated parallel machines involving tardy jobs and weighted completion time," Annals of Operations Research, Springer, vol. 319(2), pages 1655-1688, December.
    4. Liao, Ching-Jong & Lin, Chien-Hung, 2003. "Makespan minimization for two uniform parallel machines," International Journal of Production Economics, Elsevier, vol. 84(2), pages 205-213, May.
    5. Jiang, Xiaojuan & Lee, Kangbok & Pinedo, Michael L., 2023. "Approximation algorithms for bicriteria scheduling problems on identical parallel machines for makespan and total completion time," European Journal of Operational Research, Elsevier, vol. 305(2), pages 594-607.
    6. J N D Gupta & A J Ruiz-torres & S Webster, 2003. "Minimizing maximum tardiness and number of tardy jobs on parallel machines subject to minimum flow-time," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 54(12), pages 1263-1274, December.
    7. J Jackman & Z Guerra de Castillo & S Olafsson, 2011. "Stochastic flow shop scheduling model for the Panama Canal," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 62(1), pages 69-80, January.
    8. Lin, Yang-Kuei & Fowler, John W. & Pfund, Michele E., 2013. "Multiple-objective heuristics for scheduling unrelated parallel machines," European Journal of Operational Research, Elsevier, vol. 227(2), pages 239-253.

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