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Delivery Times Scheduling with Deterioration Effects in Due Window Assignment Environments

Author

Listed:
  • Rong-Rong Mao

    (School of Economics and Management, Shenyang Aerospace University, Shenyang 110136, China)

  • Yi-Chun Wang

    (School of Economics and Management, Shenyang Aerospace University, Shenyang 110136, China)

  • Dan-Yang Lv

    (School of Economics and Management, Shenyang Aerospace University, Shenyang 110136, China)

  • Ji-Bo Wang

    (School of Economics and Management, Shenyang Aerospace University, Shenyang 110136, China)

  • Yuan-Yuan Lu

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

Abstract

In practical problems, in addition to the processing time of the job, the impact of the time required for delivering the service to customers on the cost is also considered, i.e., delivery time, where the job processing time is a simple linear function of its starting time. This paper considers the impact of past-sequence-dependent delivery times (which can be referred to as p s d d t ) on the studied objectives in three types of due windows (common, slack and different due windows). This serves to minimize the weighted sum of earliness, tardiness, starting time and size of due window, where the weights (coefficients) are related to the location. Through the theoretical analysis of the optimal solution, it is found that these three problems can be solved in time O ( N log N ) , respectively, where N is the number of jobs.

Suggested Citation

  • Rong-Rong Mao & Yi-Chun Wang & Dan-Yang Lv & Ji-Bo Wang & Yuan-Yuan Lu, 2023. "Delivery Times Scheduling with Deterioration Effects in Due Window Assignment Environments," Mathematics, MDPI, vol. 11(18), pages 1-18, September.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:18:p:3983-:d:1243334
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    References listed on IDEAS

    as
    1. Wenhua Li & Libo Wang & Xing Chai & Hang Yuan, 2020. "Online Batch Scheduling of Simple Linear Deteriorating Jobs with Incompatible Families," Mathematics, MDPI, vol. 8(2), pages 1-12, February.
    2. 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.
    3. Janiak, Adam & Janiak, Władysław A. & Krysiak, Tomasz & Kwiatkowski, Tomasz, 2015. "A survey on scheduling problems with due windows," European Journal of Operational Research, Elsevier, vol. 242(2), pages 347-357.
    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. 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.
    6. 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.
    7. Cuixia Miao & Jiaxin Song & Yuzhong Zhang, 2023. "Single-Machine Time-Dependent Scheduling with Proportional and Delivery Times," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 40(04), pages 1-12, August.
    8. Jun Pei & Ya Zhou & Ping Yan & Panos M. Pardalos, 2023. "A concise guide to scheduling with learning and deteriorating effects," International Journal of Production Research, Taylor & Francis Journals, vol. 61(6), pages 2010-2031, March.
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    Cited by:

    1. Zheng Liu & Ji-Bo Wang, 2024. "Single-Machine Scheduling with Simultaneous Learning Effects and Delivery Times," Mathematics, MDPI, vol. 12(16), pages 1-20, August.
    2. 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.
    3. Bing Bai & Cai-Min Wei & Hong-Yu He & Ji-Bo Wang, 2024. "Study on Single-Machine Common/Slack Due-Window Assignment Scheduling with Delivery Times, Variable Processing Times and Outsourcing," Mathematics, MDPI, vol. 12(18), pages 1-19, September.

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