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Single-machine scheduling and common due date assignment with potential machine disruption

Author

Listed:
  • Xiaoyun Xiong
  • Dujuan Wang
  • T.C. Edwin Cheng
  • Chin-Chia Wu
  • Yunqiang Yin

Abstract

This paper studies a single-machine due date assignment and scheduling problem in a disruptive environment, where a machine disruption may occur at a particular time that will last for a period of time with a certain probability, and the job due dates are determined by the decision-maker using the popular common due date assignment method. The goal is to determine jointly the optimal job sequence and the common due date so as to minimise the expected value of an integrated cost function that includes the earliness, tardiness and due date assignment costs. We analyse the computational complexity status of various cases of the problem, and develop pseudo-polynomial-time solution algorithms, randomised adaptive search algorithms, and fully polynomial-time approximation schemes for them, if viable. Finally, we conduct extensive numerical testing to assess the performance of the proposed algorithms.

Suggested Citation

  • Xiaoyun Xiong & Dujuan Wang & T.C. Edwin Cheng & Chin-Chia Wu & Yunqiang Yin, 2018. "Single-machine scheduling and common due date assignment with potential machine disruption," International Journal of Production Research, Taylor & Francis Journals, vol. 56(3), pages 1345-1360, February.
    • Handle: RePEc:taf:tprsxx:v:56:y:2018:i:3:p:1345-1360
    DOI: 10.1080/00207543.2017.1346317
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    Citations

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    Cited by:

    1. Baruch Mor, 2022. "Minmax common flow-allowance problems with convex resource allocation and position-dependent workloads," Journal of Combinatorial Optimization, Springer, vol. 43(1), pages 79-97, January.
    2. Xinyu Sun & Tao Liu & Xin-Na Geng & Yang Hu & Jing-Xiao Xu, 2023. "Optimization of scheduling problems with deterioration effects and an optional maintenance activity," Journal of Scheduling, Springer, vol. 26(3), pages 251-266, June.
    3. Baruch Mor & Gur Mosheiov, 2021. "A note on the single machine CON and CONW problems with lot scheduling," Journal of Combinatorial Optimization, Springer, vol. 42(2), pages 327-338, August.
    4. Lei Pan & Xinyu Sun & Ji-Bo Wang & Li-Han Zhang & Dan-Yang Lv, 2023. "Due date assignment single-machine scheduling with delivery times, position-dependent weights and deteriorating jobs," Journal of Combinatorial Optimization, Springer, vol. 45(4), pages 1-16, May.
    5. Yin, Yunqiang & Luo, Zunhao & Wang, Dujuan & Cheng, T.C.E., 2023. "Wasserstein distance‐based distributionally robust parallel‐machine scheduling," Omega, Elsevier, vol. 120(C).
    6. Oğuzhan Ahmet Arik, 2023. "A heuristic for single machine common due date assignment problem with different earliness/tardiness weights," OPSEARCH, Springer;Operational Research Society of India, vol. 60(3), pages 1561-1574, September.

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