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Different due-window assignment scheduling with deterioration effects

Author

Listed:
  • Yurong Zhang

    (Xi’an Polytechnic University)

  • Xi Wang

    (University of Nottingham)

  • Li-Han Zhang

    (Shenyang Aerospace University)

  • Xue Jia

    (Shenyang Aerospace University)

  • Ji-Bo Wang

    (Shenyang Aerospace University)

Abstract

This paper studies a due-window assignment scheduling problem with deterioration effects on a single-machine. Under different due-window assignment, i.e., the due-window of a job without any restriction, our goal is to make a decision on the optimal due-window and sequence of all jobs to minimize the weighted sum of earliness and tardiness, number of early and delayed, due-window starting time and size. We present properties of the optimal solutions, for some special cases, we prove that the problem can be solved in polynomial time. For the general case, we present a lower bound and an upper bound (i.e., a heuristic algorithm), then a branch-and-bound algorithm is proposed.

Suggested Citation

  • 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.
  • Handle: RePEc:spr:jcomop:v:48:y:2024:i:5:d:10.1007_s10878-024-01223-w
    DOI: 10.1007/s10878-024-01223-w
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    References listed on IDEAS

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    1. Wu, Yu-Bin & Wan, Long & Wang, Xiao-Yuan, 2015. "Study on due-window assignment scheduling based on common flow allowance," International Journal of Production Economics, Elsevier, vol. 165(C), pages 155-157.
    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. Jun Pei & Xingming Wang & Wenjuan Fan & Panos M. Pardalos & Xinbao Liu, 2019. "Scheduling step-deteriorating jobs on bounded parallel-batching machines to maximise the total net revenue," Journal of the Operational Research Society, Taylor & Francis Journals, vol. 70(10), pages 1830-1847, October.
    4. 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.
    5. 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.
    6. Cuixia Miao & Fanyu Kong & Juan Zou & Ran Ma & Yujia Huo, 2023. "Parallel-Machine Scheduling with Step-Deteriorating Jobs to Minimize the Total (Weighted) Completion Time," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 40(01), pages 1-13, February.
    7. 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.
    8. Pei, Jun & Pardalos, Panos M. & Liu, Xinbao & Fan, Wenjuan & Yang, Shanlin, 2015. "Serial batching scheduling of deteriorating jobs in a two-stage supply chain to minimize the makespan," European Journal of Operational Research, Elsevier, vol. 244(1), pages 13-25.
    9. 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.
    10. 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.
    11. T C E Cheng & L Kang & C T Ng, 2004. "Due-date assignment and single machine scheduling with deteriorating jobs," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 55(2), pages 198-203, February.
    12. D Oron, 2014. "Scheduling controllable processing time jobs in a deteriorating environment," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 65(1), pages 49-56, January.
    13. L-H Sun & L-Y Sun & J-B Wang, 2011. "Single-machine scheduling to minimize total absolute differences in waiting times with deteriorating jobs," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 62(4), pages 768-775, April.
    14. 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.
    15. B Alidaee & N K Womer, 1999. "Scheduling with time dependent processing times: Review and extensions," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 50(7), pages 711-720, July.
    16. Cheng, T.C.E. & Yang, Suh-Jenq & Yang, Dar-Li, 2012. "Common due-window assignment and scheduling of linear time-dependent deteriorating jobs and a deteriorating maintenance activity," International Journal of Production Economics, Elsevier, vol. 135(1), pages 154-161.
    17. Fei Teng & Si-Wen Luo & Dan-Yang Lv & Ji-Bo Wang, 2023. "Approaches to Solving Scheduling with Due-Window Assignment and Deterioration Effects," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 40(02), pages 1-18, April.
    18. Xue Jia & Dan-Yang Lv & Yang Hu & Ji-Bo Wang & Zhi Wang & Ershen Wang, 2022. "Slack Due-Window Assignment Scheduling Problem with Deterioration Effects and a Deteriorating Maintenance Activity," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 39(06), pages 1-16, December.
    19. Qing Yue & Guohua Wan, 2016. "Single machine SLK/DIF due window assignment problem with job-dependent linear deterioration effects," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 67(6), pages 872-883, June.
    20. J Liu & Y Wang & X Min, 2014. "Single-machine scheduling with common due-window assignment for deteriorating jobs," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 65(2), pages 291-301, February.
    21. Xinbao Liu & Shaojun Lu & Jun Pei & Panos M. Pardalos, 2018. "A hybrid VNS-HS algorithm for a supply chain scheduling problem with deteriorating jobs," International Journal of Production Research, Taylor & Francis Journals, vol. 56(17), pages 5758-5775, September.
    22. Xue Huang & Na Yin & Wei-Wei Liu & Ji-Bo Wang, 2020. "Common Due Window Assignment Scheduling with Proportional Linear Deterioration Effects," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 37(01), pages 1-15, January.
    23. Xingong Zhang & Wen-Hsiang Wu & Win-Chin Lin & Chin-Chia Wu, 2018. "Machine scheduling problems under deteriorating effects and deteriorating rate-modifying activities," Journal of the Operational Research Society, Taylor & Francis Journals, vol. 69(3), pages 439-448, March.
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