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Tri-criteria single machine scheduling model with release times and learning factor

Author

Listed:
  • Qian, Jin
  • Lin, Hexiang
  • Kong, Yufeng
  • Wang, Yuansong

Abstract

In this paper, we consider the single machine scheduling problem with release times and a learning effect. The actual processing time of a job is a function that is the total processing time of the jobs already processed. The objective is to minimize the weighted sum of makespan, total completion time and maximum tardiness. This problem is NP-hard, some heuristic algorithms and branch-and-bound algorithm based on the Depth-first Search algorithm are proposed to solve the problem. Computational experiments are conducted to evaluate the performance of the heuristic and branch-and-bound algorithms.

Suggested Citation

  • 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).
    • Handle: RePEc:eee:apmaco:v:387:y:2020:i:c:s0096300319305260
    DOI: 10.1016/j.amc.2019.06.057
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    References listed on IDEAS

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    6. Biskup, Dirk, 2008. "A state-of-the-art review on scheduling with learning effects," European Journal of Operational Research, Elsevier, vol. 188(2), pages 315-329, July.
    7. Ji-Bo Wang & Ming-Zheng Wang & Ping Ji, 2012. "Single machine total completion time minimization scheduling with a time-dependent learning effect and deteriorating jobs," International Journal of Systems Science, Taylor & Francis Journals, vol. 43(5), pages 861-868.
    8. Yuan-Yuan Lu & Fei Teng & Zhi-Xin Feng, 2015. "Scheduling Jobs with Truncated Exponential Sum-of-Logarithm-Processing-Times Based and Position-based Learning Effects," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 32(04), pages 1-17.
    9. Wang, J.-B. & Ng, C.T. & Cheng, T.C.E. & Liu, L.L., 2008. "Single-machine scheduling with a time-dependent learning effect," International Journal of Production Economics, Elsevier, vol. 111(2), pages 802-811, February.
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    Cited by:

    1. Jin Qian & Yu Zhan, 2021. "The Due Date Assignment Scheduling Problem with Delivery Times and Truncated Sum-of-Processing-Times-Based Learning Effect," Mathematics, MDPI, vol. 9(23), pages 1-14, November.

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