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The single machine serial batch scheduling problems with rejection

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  • Juan Zou

    (Qufu Normal University)

  • Cuixia Miao

    (Qufu Normal University)

Abstract

We consider several serial batch scheduling problems with rejection. Each job is either processed on a single serial batching machine or rejected by paying a penalty. We analyze two models with rejection. The first model is to minimize the sum of the scheduling cost of the accepted jobs and the total penalty of the rejected jobs, where the scheduling costs are the total completion time, the makespan, the maximum lateness and the weighted number of tardy jobs, respectively. For the former two problems, we propose two polynomial time algorithms to solve them. For the last two problems, we derive efficient dynamic programming algorithms. The second model is to minimize the makespan, given an upper bound on the total rejection cost, we present a fully polynomial time approximation scheme.

Suggested Citation

  • Juan Zou & Cuixia Miao, 2016. "The single machine serial batch scheduling problems with rejection," Operational Research, Springer, vol. 16(2), pages 211-221, July.
    • Handle: RePEc:spr:operea:v:16:y:2016:i:2:d:10.1007_s12351-015-0193-x
    DOI: 10.1007/s12351-015-0193-x
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    References listed on IDEAS

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    1. Yuan, J. J. & Yang, A. F. & Cheng, T. C. E., 2004. "A note on the single machine serial batching scheduling problem to minimize maximum lateness with identical processing times," European Journal of Operational Research, Elsevier, vol. 158(2), pages 525-528, October.
    2. H Xuan & B Li, 2013. "Scheduling dynamic hybrid flowshop with serial batching machines," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 64(6), pages 825-832, June.
    3. Shabtay, Dvir, 2014. "The single machine serial batch scheduling problem with rejection to minimize total completion time and total rejection cost," European Journal of Operational Research, Elsevier, vol. 233(1), pages 64-74.
    4. Scott Webster & Kenneth R. Baker, 1995. "Scheduling Groups of Jobs on a Single Machine," Operations Research, INFORMS, vol. 43(4), pages 692-703, August.
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    Cited by:

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    2. Baruch Mor & Gur Mosheiov, 2022. "Single machine scheduling to maximize the weighted number of on-time jobs with job-rejection," Operational Research, Springer, vol. 22(3), pages 2707-2719, July.

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