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Single Machine Scheduling Proportionally Deteriorating Jobs with Ready Times Subject to the Total Weighted Completion Time Minimization

Author

Listed:
  • Zheng-Guo Lv

    (School of Computer, Shenyang Aerospace University, Shenyang 110136, China)

  • Li-Han Zhang

    (School of Computer, Shenyang Aerospace University, Shenyang 110136, China)

  • Xiao-Yuan Wang

    (School of Computer, Shenyang Aerospace University, Shenyang 110136, China)

  • Ji-Bo Wang

    (School of Computer, Shenyang Aerospace University, Shenyang 110136, China)

Abstract

In this paper, we investigate a single machine scheduling problem with a proportional job deterioration. Under release times (dates) of jobs, the objective is to minimize the total weighted completion time. For the general condition, some dominance properties, a lower bound and an upper bound are given, then a branch-and-bound algorithm is proposed. In addition, some meta-heuristic algorithms (including the tabu search ( T S ), simulated annealing ( S A ) and heuristic ( N E H ) algorithms) are proposed. Finally, experimental results are provided to compare the branch-and-bound algorithm and another three algorithms, which indicate that the branch-and-bound algorithm can solve instances of 40 jobs within a reasonable time and that the N E H and S A are more accurate than the T S .

Suggested Citation

  • 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.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:4:p:610-:d:1341180
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    References listed on IDEAS

    as
    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. Qian, Jin & Lin, Hexiang & Kong, Yufeng & Wang, Yuansong, 2020. "Tri-criteria single machine scheduling model with release times and learning factor," Applied Mathematics and Computation, Elsevier, vol. 387(C).
    3. 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.
    4. 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.
    5. Gawiejnowicz, Stanislaw, 2007. "Scheduling deteriorating jobs subject to job or machine availability constraints," European Journal of Operational Research, Elsevier, vol. 180(1), pages 472-478, July.
    6. Stanisław Gawiejnowicz, 2020. "A review of four decades of time-dependent scheduling: main results, new topics, and open problems," Journal of Scheduling, Springer, vol. 23(1), pages 3-47, February.
    7. Shangchia Liu & Wen-Hsiang Wu & Chao-Chung Kang & Win-Chin Lin & Zhenmin Cheng, 2015. "A Single-Machine Two-Agent Scheduling Problem by a Branch-and-Bound and Three Simulated Annealing Algorithms," Discrete Dynamics in Nature and Society, Hindawi, vol. 2015, pages 1-8, April.
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