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Study on Scheduling Problems with Learning Effects and Past Sequence Delivery Times

Author

Listed:
  • Hongyu He

    (School of Economics, Shenyang University, Shenyang 110044, China)

  • Yanzhi Zhao

    (School of Economics, Shenyang University, Shenyang 110044, China)

  • Xiaojun Ma

    (School of Economics, Shenyang University, Shenyang 110044, China
    School of Statistics, Dongbei University of Finance and Economics, Dalian 116025, China)

  • Yuan-Yuan Lu

    (College of Mathematics and Computer, Jilin Normal University Siping, Siping 136000, China)

  • Na Ren

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

  • Ji-Bo Wang

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

Abstract

In this paper, we study a single-machine green scheduling problem with learning effects and past-sequence-dependent delivery times. The problem can be properly applied to tackle green manufacturing where production and delivery time are variable and highly subject to process-reengineering. Our goal is to determine the optimal sequence such that total weighted completion time and maximum tardiness are minimized. For the general case, we provide the analysis procedure of lower bound, and also propose the heuristic and branch-and-bound algorithms. Furthermore, computational experiments are conducted to demonstrate the effectiveness of our algorithms.

Suggested Citation

  • 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.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:19:p:4135-:d:1251730
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    References listed on IDEAS

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    1. 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.
    2. Lei Pan & Xinyu Sun & Ji-Bo Wang & Li-Han Zhang & Dan-Yang Lv, 2023. "Due date assignment single-machine scheduling with delivery times, position-dependent weights and deteriorating jobs," Journal of Combinatorial Optimization, Springer, vol. 45(4), pages 1-16, May.
    3. Biskup, Dirk, 1999. "Single-machine scheduling with learning considerations," European Journal of Operational Research, Elsevier, vol. 115(1), pages 173-178, May.
    4. 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.
    5. 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.
    6. 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.
    7. Ameni Azzouz & Meriem Ennigrou & Lamjed Ben Said, 2018. "Scheduling problems under learning effects: classification and cartography," International Journal of Production Research, Taylor & Francis Journals, vol. 56(4), pages 1642-1661, February.
    8. 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.
    9. Manuel Mateo & Jacques Teghem & Daniel Tuyttens, 2018. "A bi-objective parallel machine problem with eligibility, release dates and delivery times of the jobs," International Journal of Production Research, Taylor & Francis Journals, vol. 56(3), pages 1030-1053, February.
    10. Koulamas, Christos & Kyparisis, George J., 2010. "Single-machine scheduling problems with past-sequence-dependent delivery times," International Journal of Production Economics, Elsevier, vol. 126(2), pages 264-266, August.
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    Cited by:

    1. Guojun Hu & Junran Lichen & Pengxiang Pan, 2023. "Two Combinatorial Algorithms for the Constrained Assignment Problem with Bounds and Penalties," Mathematics, MDPI, vol. 11(24), pages 1-12, December.

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