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Some single-machine scheduling problems with actual time and position dependent learning effects

Author

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  • Kai-biao Sun

    (Dalian University of Technology)

  • Hong-xing Li

    (Dalian University of Technology)

Abstract

In this paper we study some single-machine scheduling problems with learning effects where the actual processing time of a job serves as a function of the total actual processing times of the jobs already processed and of its scheduled position. We show by examples that the optimal schedules for the classical version of problems are not optimal under this actual time and position dependent learning effect model for the following objectives: makespan, sum of kth power of the completion times, total weighted completion times, maximum lateness and number of tardy jobs. But under certain conditions, we show that the shortest processing time (SPT) rule, the weighted shortest processing time (WSPT) rule, the earliest due date (EDD) rule and the modified Moore’s Algorithm can also construct an optimal schedule for the problem of minimizing these objective functions, respectively.

Suggested Citation

  • Kai-biao Sun & Hong-xing Li, 2009. "Some single-machine scheduling problems with actual time and position dependent learning effects," Fuzzy Information and Engineering, Springer, vol. 1(2), pages 161-177, June.
    • Handle: RePEc:spr:fuzinf:v:1:y:2009:i:2:d:10.1007_s12543-009-0013-1
    DOI: 10.1007/s12543-009-0013-1
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    References listed on IDEAS

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    Cited by:

    1. Min Ji & Yingchun Zhang & Yuan Zhang & T. C. E. Cheng & Yiwei Jiang, 2022. "Single-machine multitasking scheduling with job efficiency promotion," Journal of Combinatorial Optimization, Springer, vol. 44(1), pages 446-479, August.
    2. Jun Pei & Qingru Song & Baoyu Liao & Xinbao Liu & Panos M. Pardalos, 2021. "Parallel-machine serial-batching scheduling with release times under the effects of position-dependent learning and time-dependent deterioration," Annals of Operations Research, Springer, vol. 298(1), pages 407-444, March.
    3. Jian-You Xu & Win-Chin Lin & Yu-Wei Chang & Yu-Hsiang Chung & Juin-Han Chen & Chin-Chia Wu, 2023. "A Two-Machine Learning Date Flow-Shop Scheduling Problem with Heuristics and Population-Based GA to Minimize the Makespan," Mathematics, MDPI, vol. 11(19), pages 1-21, September.

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