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Multitasking Scheduling Problems with Deterioration Effect

Author

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  • Zhanguo Zhu
  • Jinlin Li
  • Chengbin Chu

Abstract

Multitasking scheduling problems with a deterioration effect incurred by coexisting behavioral phenomena in human-related scheduling systems including deteriorating task processing times and deteriorating rate-modifying activity (DRMA) of human operators are addressed. Under the assumption of this problem, the processing of a selected task suffers from the joint effect of available but unfinished waiting tasks, the position-dependent deterioration of task processing time, and the DRMA of human operators. Traditionally, these issues have been considered separately; herein, we address their integration. We propose optimal algorithms to solve the problems to minimize makespan and the total absolute differences in completion time, respectively. Based on the analysis, some special cases and extensions are also discussed.

Suggested Citation

  • Zhanguo Zhu & Jinlin Li & Chengbin Chu, 2017. "Multitasking Scheduling Problems with Deterioration Effect," Mathematical Problems in Engineering, Hindawi, vol. 2017, pages 1-10, April.
    • Handle: RePEc:hin:jnlmpe:4750791
    DOI: 10.1155/2017/4750791
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    Cited by:

    1. Xu, Shuling & Hall, Nicholas G., 2021. "Fatigue, personnel scheduling and operations: Review and research opportunities," European Journal of Operational Research, Elsevier, vol. 295(3), pages 807-822.
    2. 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.
    3. Gur Mosheiov & Daniel Oron, 2020. "Scheduling problems with a weight-modifying-activity," Annals of Operations Research, Springer, vol. 295(2), pages 737-745, December.
    4. Yujia Huo & Cuixia Miao & Fanyu Kong & Yuzhong Zhang, 2023. "Multitasking scheduling with alternate periods," Journal of Combinatorial Optimization, Springer, vol. 45(3), pages 1-13, April.

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