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Single-Machine Group Scheduling Model with Position-Dependent and Job-Dependent DeJong’s Learning Effect

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  • Jin Qian

    (College of Science, Northeastern University, Shenyang 110819, China)

  • Yu Zhan

    (College of Science, Northeastern University, Shenyang 110819, China)

Abstract

This paper considers the single-group scheduling models with Pegels’ and DeJong’s learning effect and the single-group scheduling models with Pegels’ and DeJong’s aging effect. In a classical scheduling model, Pegels’ and DeJong’s learning effect is a constant or position-dependent, while the learning effect and aging effect are job-dependent in this paper. Compared with the classical learning model and aging model for scheduling, the proposed models are more general and realistic. The objective functions are to minimize the total completion time and makespan. We propose polynomial time methods to solve all the studied problems.

Suggested Citation

  • Jin Qian & Yu Zhan, 2022. "Single-Machine Group Scheduling Model with Position-Dependent and Job-Dependent DeJong’s Learning Effect," Mathematics, MDPI, vol. 10(14), pages 1-9, July.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:14:p:2454-:d:862607
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    References listed on IDEAS

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    1. Li Sun & Lei Ning & Jia-zhen Huo, 2020. "Group Scheduling Problems with Time-Dependent and Position-Dependent DeJong’s Learning Effect," Mathematical Problems in Engineering, Hindawi, vol. 2020, pages 1-8, February.
    2. Min Ji & Xin Zhang & Xiaoying Tang & T.C.E. Cheng & Guiyi Wei & Yuanyuan Tan, 2016. "Group scheduling with group-dependent multiple due windows assignment," International Journal of Production Research, Taylor & Francis Journals, vol. 54(4), pages 1244-1256, February.
    3. Yang, Suh-Jenq & Yang, Dar-Li, 2010. "Minimizing the makespan on single-machine scheduling with aging effect and variable maintenance activities," Omega, Elsevier, vol. 38(6), pages 528-533, December.
    4. G Mosheiov, 2001. "Parallel machine scheduling with a learning effect," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 52(10), pages 1165-1169, October.
    5. Gang Li & Mei-Ling Luo & Wen-Jie Zhang & Xiao-Yuan Wang, 2015. "Single-machine due-window assignment scheduling based on common flow allowance, learning effect and resource allocation," International Journal of Production Research, Taylor & Francis Journals, vol. 53(4), pages 1228-1241, February.
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