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Single-Machine Due-Window Assignment and Scheduling with Learning Effect and Resource-Dependent Processing Times

Author

Listed:
  • Ji-Bo Wang

    (School of Science, Shenyang Aerospace University, Shenyang 110136, P. R. China;
    State Key Laboratory for Manufacturing Systems Engineering, (Xi'an Jiaotong University), Xi'an 710053, P. R. China)

  • Ming-Zheng Wang

    (School of Management Science and Engineering, Dalian University of Technology, Dalian 116024, P. R. China)

Abstract

We consider a single-machine common due-window assignment scheduling problem, in which the processing time of a job is a function of its position in a sequence and its resource allocation. The window location and size, along with the associated job schedule that minimizes a certain cost function, are to be determined. This function is made up of costs associated with the window location, window size, earliness, and tardiness. For two different processing time functions, we provide a polynomial time algorithm to find the optimal job sequence and resource allocation, respectively.

Suggested Citation

  • Ji-Bo Wang & Ming-Zheng Wang, 2014. "Single-Machine Due-Window Assignment and Scheduling with Learning Effect and Resource-Dependent Processing Times," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 31(05), pages 1-15.
    • Handle: RePEc:wsi:apjorx:v:31:y:2014:i:05:n:s0217595914500365
    DOI: 10.1142/S0217595914500365
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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. Shang-Chia Liu, 2015. "Common Due-Window Assignment and Group Scheduling with Position-Dependent Processing Times," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 32(06), pages 1-19, December.
    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. Xinyu Sun & Xin-Na Geng & Tao Liu, 2020. "Due-window assignment scheduling in the proportionate flow shop setting," Annals of Operations Research, Springer, vol. 292(1), pages 113-131, September.
    5. Zhusong Liu & Zhenyou Wang & Yuan-Yuan Lu, 2017. "A Bicriteria Approach for Single Machine Scheduling with Resource Allocation, Learning Effect and a Deteriorating Maintenance Activity," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 34(04), pages 1-16, August.
    6. Lin-Hui Sun & Kai Cui & Ju-hong Chen & Jun Wang, 2016. "Due date assignment and convex resource allocation scheduling with variable job processing times," International Journal of Production Research, Taylor & Francis Journals, vol. 54(12), pages 3551-3560, June.

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