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Single-machine scheduling with deteriorating jobs and aging effects under an optional maintenance activity consideration

Author

Listed:
  • Min Ji

    (Contemporary Business and Trade Research Center, Zhejiang Gongshang University)

  • Chou-Jung Hsu

    (Nan Kai University of Technology)

  • Dar-Li Yang

    (National Formosa University)

Abstract

This article studies a single-machine scheduling with deteriorating jobs and aging effects under an optional maintenance activity. We assume that after maintenance activity, the machine will revert to its initial condition and the aging effects will start anew. Moreover, due to the restriction of budget of maintenance, the limitation of the maintenance frequency on the machine is assumed to be known in advance. The optional maintenance activity of this study means that the starting time of the maintenance activity is unknown in advance. It can be scheduled immediately after the processing of any job that has been completed. Therefore, the planner must to make decision on whether or when to schedule the maintenance activity during the scheduling horizon to optimal the performance measures. The objective is to minimize the makespan. We first show that the addressed problem is NP-hard in the strong sense. Then a fully polynomial-time approximation scheme (FPTAS) for the proposed problem is presented.

Suggested Citation

  • Min Ji & Chou-Jung Hsu & Dar-Li Yang, 2013. "Single-machine scheduling with deteriorating jobs and aging effects under an optional maintenance activity consideration," Journal of Combinatorial Optimization, Springer, vol. 26(3), pages 437-447, October.
    • Handle: RePEc:spr:jcomop:v:26:y:2013:i:3:d:10.1007_s10878-011-9415-1
    DOI: 10.1007/s10878-011-9415-1
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    References listed on IDEAS

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    Cited by:

    1. 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.
    2. Dujuan Wang & Feng Liu & Yunqiang Yin & Jianjun Wang & Yanzhang Wang, 2015. "Prioritized surgery scheduling in face of surgeon tiredness and fixed off-duty period," Journal of Combinatorial Optimization, Springer, vol. 30(4), pages 967-981, November.
    3. Gawiejnowicz, Stanisław & Kurc, Wiesław, 2015. "Structural properties of time-dependent scheduling problems with the lp norm objective," Omega, Elsevier, vol. 57(PB), pages 196-202.
    4. Wang, Ting & Baldacci, Roberto & Lim, Andrew & Hu, Qian, 2018. "A branch-and-price algorithm for scheduling of deteriorating jobs and flexible periodic maintenance on a single machine," European Journal of Operational Research, Elsevier, vol. 271(3), pages 826-838.
    5. Sheng Yu, 2015. "An optimal single-machine scheduling with linear deterioration rate and rate-modifying activities," Journal of Combinatorial Optimization, Springer, vol. 30(2), pages 242-252, August.

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