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Group Scheduling Problems with Time-Dependent and Position-Dependent DeJong’s Learning Effect

Author

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  • Li Sun
  • Lei Ning
  • Jia-zhen Huo

Abstract

In this paper, we introduce a group scheduling model with time-dependent and position-dependent DeJong’s learning effect. The objectives of scheduling problems are to minimize makespan, the total completion time, and the total weighted completion time, respectively. We show that the problems remain solvable in polynomial time under the proposed model.

Suggested Citation

  • 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.
    • Handle: RePEc:hin:jnlmpe:5161872
    DOI: 10.1155/2020/5161872
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    Cited by:

    1. Bartłomiej Przybylski, 2022. "Parallel-machine scheduling of jobs with mixed job-, machine- and position-dependent processing times," Journal of Combinatorial Optimization, Springer, vol. 44(1), pages 207-222, August.
    2. 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.

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