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Multitasking parallel-machine scheduling with machine-dependent slack due-window assignment

Author

Listed:
  • Min Ji
  • Wenya Zhang
  • Lijuan Liao
  • T. C. E. Cheng
  • Yuanyuan Tan

Abstract

We consider the problem of parallel-machine scheduling with machine-dependent slack (SLK) due-window assignment in the multitasking environment, which exists in various application domains such as Internet services, project management, and manufacturing. Motivated by practical observations, we extend the original model of multitasking to a more general model where each job’s interruption proportion depends on the job itself and its processing position. In the light of individualised service, we consider SLK due-window assignment. Our objective is to minimise the total cost that comprises the earliness, tardiness, and due-window-related costs. Finding that an optimal schedule exists when each machine is occupied by at least one job, we show that the problem is polynomially solvable. We provide a more efficient solution algorithm for a special case of the problem. Finally, we present numerical examples to illustrate the application of the theoretical results and working of the solution algorithms.

Suggested Citation

  • Min Ji & Wenya Zhang & Lijuan Liao & T. C. E. Cheng & Yuanyuan Tan, 2019. "Multitasking parallel-machine scheduling with machine-dependent slack due-window assignment," International Journal of Production Research, Taylor & Francis Journals, vol. 57(6), pages 1667-1684, March.
    • Handle: RePEc:taf:tprsxx:v:57:y:2019:i:6:p:1667-1684
    DOI: 10.1080/00207543.2018.1497312
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    Cited by:

    1. Baruch Mor, 2022. "Minmax common flow-allowance problems with convex resource allocation and position-dependent workloads," Journal of Combinatorial Optimization, Springer, vol. 43(1), pages 79-97, January.
    2. 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.
    3. Yongjian Yang & Guangqiang Yin & Chunyu Wang & Yunqiang Yin, 0. "Due date assignment and two-agent scheduling under multitasking environment," Journal of Combinatorial Optimization, Springer, vol. 0, pages 1-17.
    4. Yongjian Yang & Guangqiang Yin & Chunyu Wang & Yunqiang Yin, 2022. "Due date assignment and two-agent scheduling under multitasking environment," Journal of Combinatorial Optimization, Springer, vol. 44(4), pages 2207-2223, November.
    5. 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.

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