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Rescheduling for new orders on a single machine with setup times

Author

Listed:
  • Hoogeveen, H.
  • Lenté, C.
  • T’kindt, V.

Abstract

We focus on some single machine scheduling problems for which a set of new jobs have to be scheduled after a schedule of old jobs has been set. Each new and old job belongs to a family and changing the production from one family to another requires a setup. The initial schedule of old jobs is assumed to minimize the sum of setup times. The new jobs can be either scheduled after the old jobs or inserted within the existing schedule, which results in a disruption cost that has to be minimized together with the sum of setup times of the overall schedule. In this paper we tackle several simple setup time configurations yielding different scheduling problems for which we propose optimal polynomial time algorithms or provide NP-hardness proofs. In the former case we consider the problem of enumerating the set of strict Pareto optima for the sum of setup times and disruption cost criteria.

Suggested Citation

  • Hoogeveen, H. & Lenté, C. & T’kindt, V., 2012. "Rescheduling for new orders on a single machine with setup times," European Journal of Operational Research, Elsevier, vol. 223(1), pages 40-46.
    • Handle: RePEc:eee:ejores:v:223:y:2012:i:1:p:40-46
    DOI: 10.1016/j.ejor.2012.05.046
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    References listed on IDEAS

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    1. Ali Tamer Unal & Reha Uzsoy & Ali Kiran, 1997. "Rescheduling on a single machine with part-type dependent setup times and deadlines," Annals of Operations Research, Springer, vol. 70(0), pages 93-113, April.
    2. Nicholas G. Hall & Zhixin Liu & Chris N. Potts, 2007. "Rescheduling for Multiple New Orders," INFORMS Journal on Computing, INFORMS, vol. 19(4), pages 633-645, November.
    3. Yuan, Jinjiang & Mu, Yundong, 2007. "Rescheduling with release dates to minimize makespan under a limit on the maximum sequence disruption," European Journal of Operational Research, Elsevier, vol. 182(2), pages 936-944, October.
    4. Nicholas G. Hall & Chris N. Potts, 2004. "Rescheduling for New Orders," Operations Research, INFORMS, vol. 52(3), pages 440-453, June.
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    Citations

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    Cited by:

    1. Wang, Dujuan & Yin, Yunqiang & Cheng, T.C.E., 2018. "Parallel-machine rescheduling with job unavailability and rejection," Omega, Elsevier, vol. 81(C), pages 246-260.
    2. Qiulan Zhao & Lingfa Lu & Jinjiang Yuan, 2016. "Rescheduling with new orders and general maximum allowable time disruptions," 4OR, Springer, vol. 14(3), pages 261-280, September.
    3. Wenchang Luo & Taibo Luo & Randy Goebel & Guohui Lin, 2018. "Rescheduling due to machine disruption to minimize the total weighted completion time," Journal of Scheduling, Springer, vol. 21(5), pages 565-578, October.
    4. Liu, Weihua & Liang, Zhicheng & Ye, Zi & Liu, Liang, 2016. "The optimal decision of customer order decoupling point for order insertion scheduling in logistics service supply chain," International Journal of Production Economics, Elsevier, vol. 175(C), pages 50-60.
    5. Xingong Zhang & Win-Chin Lin & Chin-Chia Wu, 2022. "Rescheduling problems with allowing for the unexpected new jobs arrival," Journal of Combinatorial Optimization, Springer, vol. 43(3), pages 630-645, April.
    6. Yin, Yunqiang & Cheng, T.C.E. & Wang, Du-Juan, 2016. "Rescheduling on identical parallel machines with machine disruptions to minimize total completion time," European Journal of Operational Research, Elsevier, vol. 252(3), pages 737-749.

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