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Single-machine scheduling with deteriorating effects and machine maintenance

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  • Xinyu Sun
  • Xin-Na Geng

Abstract

In this paper, the single-machine scheduling problems with deteriorating effects and a machine maintenance are studied. In this circumstance, the deterioration rates of the jobs during the machining process are the same which reduces the production efficiency. The actual processing time of the job is a linearly increasing function of the starting time. In this process, the machine only performs a maintenance activity, and the maintenance time is a fixed value. After the maintenance work is completed, the machine will be restored to the initial state, and the deterioration of the job will be start again. The goal is to determine the optimal schedule in order to minimise the maximum completion time (i.e. the makespan) and the sum of job completion times. We prove that both problems are polynomial time solvable, and we also provide the corresponding algorithms.

Suggested Citation

  • Xinyu Sun & Xin-Na Geng, 2019. "Single-machine scheduling with deteriorating effects and machine maintenance," International Journal of Production Research, Taylor & Francis Journals, vol. 57(10), pages 3186-3199, May.
    • Handle: RePEc:taf:tprsxx:v:57:y:2019:i:10:p:3186-3199
    DOI: 10.1080/00207543.2019.1566675
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    Citations

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    Cited by:

    1. Jin Qian & Yu Zhan, 2022. "The Due Window Assignment Problems with Deteriorating Job and Delivery Time," Mathematics, MDPI, vol. 10(10), pages 1-16, May.
    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. Kim, Hyunjoon & Kim, Byung-In, 2022. "Optimal sequence for single server scheduling incorporating a rate-modifying activity under job-dependent linear deterioration," European Journal of Operational Research, Elsevier, vol. 298(2), pages 439-450.
    4. Zheng-Guo Lv & Li-Han Zhang & Xiao-Yuan Wang & Ji-Bo Wang, 2024. "Single Machine Scheduling Proportionally Deteriorating Jobs with Ready Times Subject to the Total Weighted Completion Time Minimization," Mathematics, MDPI, vol. 12(4), pages 1-15, February.
    5. Xu, Shuling & Hall, Nicholas G., 2021. "Fatigue, personnel scheduling and operations: Review and research opportunities," European Journal of Operational Research, Elsevier, vol. 295(3), pages 807-822.
    6. Rong-Rong Mao & Yi-Chun Wang & Dan-Yang Lv & Ji-Bo Wang & Yuan-Yuan Lu, 2023. "Delivery Times Scheduling with Deterioration Effects in Due Window Assignment Environments," Mathematics, MDPI, vol. 11(18), pages 1-18, September.
    7. Xinyu Sun & Xin-Na Geng & Tao Liu, 2020. "Due-window assignment scheduling in the proportionate flow shop setting," Annals of Operations Research, Springer, vol. 292(1), pages 113-131, September.
    8. Yi-Chun Wang & Ji-Bo Wang, 2023. "Study on Convex Resource Allocation Scheduling with a Time-Dependent Learning Effect," Mathematics, MDPI, vol. 11(14), pages 1-20, July.
    9. Zhou, Yu & Kou, Gang & Xiao, Hui & Peng, Yi & Alsaadi, Fawaz E., 2020. "Sequential imperfect preventive maintenance model with failure intensity reduction with an application to urban buses," Reliability Engineering and System Safety, Elsevier, vol. 198(C).
    10. Li-Han Zhang & Dan-Yang Lv & Ji-Bo Wang, 2023. "Two-Agent Slack Due-Date Assignment Scheduling with Resource Allocations and Deteriorating Jobs," Mathematics, MDPI, vol. 11(12), pages 1-12, June.

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