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Due date assignment single-machine scheduling with delivery times, position-dependent weights and deteriorating jobs

Author

Listed:
  • Lei Pan

    (Xi’an Jiaotong University)

  • Xinyu Sun

    (Xi’an Jiaotong University)

  • Ji-Bo Wang

    (Shenyang Aerospace University)

  • Li-Han Zhang

    (Shenyang Aerospace University)

  • Dan-Yang Lv

    (Shenyang Aerospace University)

Abstract

This article studies the single-machine scheduling problem with due date assignments, deteriorating jobs, and past-sequence-dependent delivery times. Under three assignments (i.e., common, slack, and different due dates), the goal is to determine a feasible sequence and due dates of all jobs in order to minimize the weighted sum of earliness, tardiness, and due date costs of all jobs, where the weight is not related to the job but to the position in which some job is scheduled. Through a series of optimal properties, efficient and fast polynomial time algorithms are designed for solving the studied scheduling problem with three due date assignments.

Suggested Citation

  • 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.
    • Handle: RePEc:spr:jcomop:v:45:y:2023:i:4:d:10.1007_s10878-023-01025-6
    DOI: 10.1007/s10878-023-01025-6
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    References listed on IDEAS

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    1. Ying Chen & Xiaole Ma & Guiqing Zhang & Yongxi Cheng, 2023. "On optimal due date assignment without restriction and resource allocation in group technology scheduling," Journal of Combinatorial Optimization, Springer, vol. 45(2), pages 1-19, March.
    2. Vincent T’kindt & Lei Shang & Federico Della Croce, 2020. "Exponential time algorithms for just-in-time scheduling problems with common due date and symmetric weights," Journal of Combinatorial Optimization, Springer, vol. 39(3), pages 764-775, April.
    3. Gordon, Valery & Proth, Jean-Marie & Chu, Chengbin, 2002. "A survey of the state-of-the-art of common due date assignment and scheduling research," European Journal of Operational Research, Elsevier, vol. 139(1), pages 1-25, May.
    4. Yunqiang Yin & Du‐Juan Wang & Chin‐Chia Wu & T.C.E. Cheng, 2016. "CON/SLK due date assignment and scheduling on a single machine with two agents," Naval Research Logistics (NRL), John Wiley & Sons, vol. 63(5), pages 416-429, August.
    5. 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.
    6. Du-Juan Wang & Yunqiang Yin & Shuenn-Ren Cheng & T.C.E. Cheng & Chin-Chia Wu, 2016. "Due date assignment and scheduling on a single machine with two competing agents," International Journal of Production Research, Taylor & Francis Journals, vol. 54(4), pages 1152-1169, February.
    7. 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.
    8. Yongjian Yang & Guangqiang Yin & Chunyu Wang & Yunqiang Yin, 2022. "Due date assignment and two-agent scheduling under multitasking environment," Journal of Combinatorial Optimization, Springer, vol. 44(4), pages 2207-2223, November.
    9. Yunqiang Yin & Doudou Li & Dujuan Wang & T. C. E. Cheng, 2021. "Single-machine serial-batch delivery scheduling with two competing agents and due date assignment," Annals of Operations Research, Springer, vol. 298(1), pages 497-523, March.
    10. Ji-Bo Wang & Bo Cui & Ping Ji & Wei-Wei Liu, 2021. "Research on single-machine scheduling with position-dependent weights and past-sequence-dependent delivery times," Journal of Combinatorial Optimization, Springer, vol. 41(2), pages 290-303, February.
    11. Xiaoyun Xiong & Dujuan Wang & T.C. Edwin Cheng & Chin-Chia Wu & Yunqiang Yin, 2018. "Single-machine scheduling and common due date assignment with potential machine disruption," International Journal of Production Research, Taylor & Francis Journals, vol. 56(3), pages 1345-1360, February.
    12. Shi-Sheng Li & Ren-Xia Chen & Qi Feng & Cheng-Wen Jiao, 2019. "Parallel-machine scheduling with job-dependent cumulative deterioration effect and rejection," Journal of Combinatorial Optimization, Springer, vol. 38(3), pages 957-971, October.
    13. Yunqiang Yin & Yongjian Yang & Dujuan Wang & T.C.E. Cheng & Chin‐Chia Wu, 2018. "Integrated production, inventory, and batch delivery scheduling with due date assignment and two competing agents," Naval Research Logistics (NRL), John Wiley & Sons, vol. 65(5), pages 393-409, August.
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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. 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.
    3. Xuyin Wang & Weiguo Liu, 2024. "Optimal Different Due-Date Assignment Scheduling with Group Technology and Resource Allocation," Mathematics, MDPI, vol. 12(3), pages 1-17, January.
    4. 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.

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