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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

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    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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