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Single-machine due-window assignment scheduling based on common flow allowance, learning effect and resource allocation

Author

Listed:
  • Gang Li
  • Mei-Ling Luo
  • Wen-Jie Zhang
  • Xiao-Yuan Wang

Abstract

This article considers a single-machine due-window assignment scheduling problem based on a common flow allowance (i.e. all jobs have slack due window (SLKW)). We assume that the actual processing time of a job is a function of its position in a sequence (learning effect) and its continuously divisible and non-renewable resource allocation. The problem is to determine the optimal due windows, the optimal resource allocation and the processing sequence simultaneously to minimise costs for earliness, tardiness, the window location, window size, makespan and resource consumption. For a linear or a convex function of the amount of a resource allocated to the job, we provide a polynomial time algorithm, respectively. Some extensions of the problem are also shown.

Suggested Citation

  • Gang Li & Mei-Ling Luo & Wen-Jie Zhang & Xiao-Yuan Wang, 2015. "Single-machine due-window assignment scheduling based on common flow allowance, learning effect and resource allocation," International Journal of Production Research, Taylor & Francis Journals, vol. 53(4), pages 1228-1241, February.
    • Handle: RePEc:taf:tprsxx:v:53:y:2015:i:4:p:1228-1241
    DOI: 10.1080/00207543.2014.954057
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    Citations

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    Cited by:

    1. Wu, Yu-Bin & Wan, Long & Wang, Xiao-Yuan, 2015. "Study on due-window assignment scheduling based on common flow allowance," International Journal of Production Economics, Elsevier, vol. 165(C), pages 155-157.
    2. Jin Qian & Yu Zhan, 2022. "The Due Window Assignment Problems with Deteriorating Job and Delivery Time," Mathematics, MDPI, vol. 10(10), pages 1-16, May.
    3. Hongyu He & Mengqi Liu & Ji-Bo Wang, 2017. "Resource constrained scheduling with general truncated job-dependent learning effect," Journal of Combinatorial Optimization, Springer, vol. 33(2), pages 626-644, February.
    4. 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.
    5. Jin Qian & Yu Zhan, 2021. "The Due Date Assignment Scheduling Problem with Delivery Times and Truncated Sum-of-Processing-Times-Based Learning Effect," Mathematics, MDPI, vol. 9(23), pages 1-14, November.

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