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An approximation algorithm for a supply-chain scheduling problem with an assignable common due window and holding time

Author

Listed:
  • Long Zhang

    (Qufu Normal University)

  • Yuzhong Zhang

    (Qufu Normal University)

  • Qingguo Bai

    (Qufu Normal University)

Abstract

This paper studies single machine scheduling with batch deliveries, where a common due window for all jobs has to be determined, not given in advance. The objective is to minimize the overall cost for the process and delivery. Concretely, it includes the penalty of a job being early or tardy, the cost for holding and delivering a job, and the cost incurred by a late starting or a long duration of the common due window. Observing the NP-hardness, we provide an optimal algorithm of the problem and convert it to a fully polynomial time approximation scheme for a special case.

Suggested Citation

  • Long Zhang & Yuzhong Zhang & Qingguo Bai, 2022. "An approximation algorithm for a supply-chain scheduling problem with an assignable common due window and holding time," Journal of Combinatorial Optimization, Springer, vol. 44(4), pages 2167-2179, November.
    • Handle: RePEc:spr:jcomop:v:44:y:2022:i:4:d:10.1007_s10878-020-00594-0
    DOI: 10.1007/s10878-020-00594-0
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    References listed on IDEAS

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    1. W.K. Yeung & Ceyda Oğuz & T.C. Cheng, 2001. "Minimizing Weighted Number of Early and Tardy Jobs with a Common Due Window Involving Location Penalty," Annals of Operations Research, Springer, vol. 108(1), pages 33-54, November.
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    4. Yin, Yunqiang & Cheng, T.C.E. & Hsu, Chou-Jung & Wu, Chin-Chia, 2013. "Single-machine batch delivery scheduling with an assignable common due window," Omega, Elsevier, vol. 41(2), pages 216-225.
    5. G Mosheiov & A Sarig, 2008. "A due-window assignment problem with position-dependent processing times," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 59(7), pages 997-1003, July.
    6. Long Zhang & Yuzhong Zhang & Qingguo Bai, 2019. "Two-stage medical supply chain scheduling with an assignable common due window and shelf life," Journal of Combinatorial Optimization, Springer, vol. 37(1), pages 319-329, January.
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    12. Jianfeng Ren & Guo Sun & Yuzhong Zhang, 2017. "The Supplying Chain Scheduling with Outsourcing and Transportation," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 34(02), pages 1-13, April.
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