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Multitasking scheduling problems with a rate-modifying activity

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  • Zhanguo Zhu
  • Feifeng Zheng
  • Chengbin Chu

Abstract

Motivated by the behavioral phenomena that occur while human operators are carrying out tasks, we study multitasking scheduling problems with a rate-modifying activity. In the problems, the processing of a selected task suffers from interruptions by other tasks that are available but unfinished, and the human operators regularly engage rest breaks during work shifts allowing them to recover or mitigate some of the negative effects of fatigue. The objectives are to respectively minimize: makespan, total completion time, maximum lateness, and due-date assignment related cost by determining when to schedule the rate modifying activity and the optimal task sequence in the presence of multitasking. Scheduling models and algorithms are proposed to solve the problems. The numerical examples are presented to illustrate the theorems and algorithms.

Suggested Citation

  • Zhanguo Zhu & Feifeng Zheng & Chengbin Chu, 2017. "Multitasking scheduling problems with a rate-modifying activity," International Journal of Production Research, Taylor & Francis Journals, vol. 55(1), pages 296-312, January.
    • Handle: RePEc:taf:tprsxx:v:55:y:2017:i:1:p:296-312
    DOI: 10.1080/00207543.2016.1208852
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    References listed on IDEAS

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    Cited by:

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    2. 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.
    3. 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.
    4. Xiaoyun Xiong & Peng Zhou & Yunqiang Yin & T. C. E. Cheng & Dengfeng Li, 2019. "An exact branch‐and‐price algorithm for multitasking scheduling on unrelated parallel machines," Naval Research Logistics (NRL), John Wiley & Sons, vol. 66(6), pages 502-516, September.
    5. Gur Mosheiov & Daniel Oron, 2020. "Scheduling problems with a weight-modifying-activity," Annals of Operations Research, Springer, vol. 295(2), pages 737-745, December.

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