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Scheduling with Group Technology, Resource Allocation, and Learning Effect Simultaneously

Author

Listed:
  • Ming-Hui Li

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

  • Dan-Yang Lv

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

  • Yuan-Yuan Lu

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

  • Ji-Bo Wang

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

Abstract

This paper studies the single-machine group scheduling problem with convex resource allocation and learning effect. The number of jobs in each group is different, and the corresponding common due dates are also different, where the processing time of jobs follows a convex function of resource allocation. Under common due date assignment, the objective is to minimize the weighted sum of earliness, tardiness, common due date, resource consumption, and makespan. To solve the problem, we present the heuristic, simulated annealing, and branch-and-bound algorithms. Computational experiments indicate that the proposed algorithms are effective.

Suggested Citation

  • Ming-Hui Li & Dan-Yang Lv & Yuan-Yuan Lu & Ji-Bo Wang, 2024. "Scheduling with Group Technology, Resource Allocation, and Learning Effect Simultaneously," Mathematics, MDPI, vol. 12(7), pages 1-21, March.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:7:p:1029-:d:1366964
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    References listed on IDEAS

    as
    1. Li, Shisheng & Ng, C.T. & Yuan, Jinjiang, 2011. "Group scheduling and due date assignment on a single machine," International Journal of Production Economics, Elsevier, vol. 130(2), pages 230-235, April.
    2. 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.
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    4. Yi-Chun Wang & Ji-Bo Wang, 2023. "Study on Convex Resource Allocation Scheduling with a Time-Dependent Learning Effect," Mathematics, MDPI, vol. 11(14), pages 1-20, July.
    5. Shabtay, Dvir, 2016. "Optimal restricted due date assignment in scheduling," European Journal of Operational Research, Elsevier, vol. 252(1), pages 79-89.
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    9. 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.
    10. Wang, Xiuli & Cheng, T. C. E., 2005. "Single machine scheduling with resource dependent release times and processing times," European Journal of Operational Research, Elsevier, vol. 162(3), pages 727-739, May.
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    Cited by:

    1. Jiaxin Song & Cuixia Miao & Fanyu Kong, 2025. "Scheduling with step learning and job rejection," Operational Research, Springer, vol. 25(1), pages 1-18, March.

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