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Optimization of scheduling problems with deterioration effects and an optional maintenance activity

Author

Listed:
  • Xinyu Sun

    (Xi’an Jiaotong University)

  • Tao Liu

    (Xi’an Jiaotong University)

  • Xin-Na Geng

    (Xi’an Jiaotong University
    Shenyang Aerospace University)

  • Yang Hu

    (Shenyang Aerospace University)

  • Jing-Xiao Xu

    (Shenyang Aerospace University)

Abstract

In this investigation, the single-machine scheduling problem with deterioration effects and an optional maintenance activity is explored. Deterioration effect means that the actual processing time of the job is a function of its normal processing time and its starting time. As an optional maintenance activity, the machine will perform a maintenance activity. After the maintenance activity is completed, the machine will return to the initial state, and the job deterioration will start again. The goal is to determine an optimal sequence and the location of the maintenance activity that minimizes some objective functions. We prove that the problem of minimizing the makespan, total completion time, and total absolute differences in completion (waiting) times can be solved in polynomial time $$O(n^4)$$ O ( n 4 ) , where n is the number of jobs. For the total weighted completion time minimization, if the weights are positional-dependent weights, we prove that the problem can be solved in polynomial time; if the weights are job-dependent weights, this problem is NP-hard. To solve the problem with job-dependent weights, we present the heuristic, tabu search, and branch-and-bound algorithms.

Suggested Citation

  • 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.
    • Handle: RePEc:spr:jsched:v:26:y:2023:i:3:d:10.1007_s10951-022-00756-4
    DOI: 10.1007/s10951-022-00756-4
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    References listed on IDEAS

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    Cited by:

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    2. Ming-Hui Li & Dan-Yang Lv & Yuan-Yuan Lu & Ji-Bo Wang, 2024. "Scheduling with Group Technology, Resource Allocation, and Learning Effect Simultaneously," Mathematics, MDPI, vol. 12(7), pages 1-21, March.
    3. Zhang, Wenyu & Gan, Jie & He, Shuguang & Li, Ting & He, Zhen, 2024. "An integrated framework of preventive maintenance and task scheduling for repairable multi-unit systems," Reliability Engineering and System Safety, Elsevier, vol. 247(C).
    4. Yurong Zhang & Xi Wang & Li-Han Zhang & Xue Jia & Ji-Bo Wang, 2024. "Different due-window assignment scheduling with deterioration effects," Journal of Combinatorial Optimization, Springer, vol. 48(5), pages 1-21, December.
    5. 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.
    6. Hongyu He & Yanzhi Zhao & Xiaojun Ma & Yuan-Yuan Lu & Na Ren & Ji-Bo Wang, 2023. "Study on Scheduling Problems with Learning Effects and Past Sequence Delivery Times," Mathematics, MDPI, vol. 11(19), pages 1-19, September.

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