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Two-Agent Slack Due-Date Assignment Scheduling with Resource Allocations and Deteriorating Jobs

Author

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  • Li-Han Zhang

    (School of Computer Science, Shenyang Aerospace University, Shenyang 110136, China
    These authors contributed equally to this work.)

  • Dan-Yang Lv

    (School of Computer Science, Shenyang Aerospace University, Shenyang 110136, China
    These authors contributed equally to this work.)

  • Ji-Bo Wang

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

Abstract

In enterprise management, there are often multiple agents competing for the same products to reduce production cost. On this basis, this paper investigates a two-agent slack due-date single-machine scheduling problem with deteriorating jobs, where the processing time of a job is extended as a function of position-dependent workload, resource allocation and a common deterioration rate. The goal is to find the optimal sequence and resource allocation that minimizes the maximal value of earliness, tardiness, and decision variables of one agent subject to an upper bound on cost value of the second agent. Through theoretical analysis, a polynomial time algorithm with O ( N 3 ) time is proposed for the problem, where N is the maximum number of jobs between the two agents.

Suggested Citation

  • Li-Han Zhang & Dan-Yang Lv & Ji-Bo Wang, 2023. "Two-Agent Slack Due-Date Assignment Scheduling with Resource Allocations and Deteriorating Jobs," Mathematics, MDPI, vol. 11(12), pages 1-12, June.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:12:p:2737-:d:1172940
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    References listed on IDEAS

    as
    1. Baruch Mor & Gur Mosheiov, 2017. "A two-agent single machine scheduling problem with due-window assignment and a common flow-allowance," Journal of Combinatorial Optimization, Springer, vol. 33(4), pages 1454-1468, May.
    2. Manzhan Gu & Jinwei Gu & Xiwen Lu, 2018. "An algorithm for multi-agent scheduling to minimize the makespan on m parallel machines," Journal of Scheduling, Springer, vol. 21(5), pages 483-492, October.
    3. Dujuan Wang & Yugang Yu & Yunqiang Yin & Tai Chiu Edwin Cheng, 2021. "Multi-agent scheduling problems under multitasking," International Journal of Production Research, Taylor & Francis Journals, vol. 59(12), pages 3633-3663, June.
    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. Gur Mosheiov & Daniel Oron & Dvir Shabtay, 2022. "On the tractability of hard scheduling problems with generalized due-dates with respect to the number of different due-dates," Journal of Scheduling, Springer, vol. 25(5), pages 577-587, October.
    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. 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.
    8. Zhenyou Wang & Cai-Min Wei & Yu-Bin Wu, 2016. "Single Machine Two-Agent Scheduling with Deteriorating Jobs," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 33(05), pages 1-17, October.
    9. 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.
    10. Wan, Long & Mei, Jiajie & Du, Jiangze, 2021. "Two-agent scheduling of unit processing time jobs to minimize total weighted completion time and total weighted number of tardy jobs," European Journal of Operational Research, Elsevier, vol. 290(1), pages 26-35.
    11. Alessandro Agnetis & Dario Pacciarelli & Andrea Pacifici, 2007. "Multi-agent single machine scheduling," Annals of Operations Research, Springer, vol. 150(1), pages 3-15, March.
    12. Dawei Li & Ganggang Li & Fangzheng Cheng & Yang Li, 2022. "Two-Agent Single Machine Scheduling with Deteriorating Jobs and Rejection," Mathematical Problems in Engineering, Hindawi, vol. 2022, pages 1-10, November.
    13. Nita P.A. Hidayat & Andi Cakravastia & Wisnu Aribowo & Abdul Hakim Halim, 2022. "A single-stage batch scheduling model with m heterogeneous batch processors producing multiple items parts demanded at different due dates," International Journal of Industrial and Systems Engineering, Inderscience Enterprises Ltd, vol. 41(2), pages 254-275.
    14. Shabtay, Dvir & Mosheiov, Gur & Oron, Daniel, 2022. "Single machine scheduling with common assignable due date/due window to minimize total weighted early and late work," European Journal of Operational Research, Elsevier, vol. 303(1), pages 66-77.
    15. Falq, Anne-Elisabeth & Fouilhoux, Pierre & Kedad-Sidhoum, Safia, 2022. "Dominance inequalities for scheduling around an unrestrictive common due date," European Journal of Operational Research, Elsevier, vol. 296(2), pages 453-464.
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