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Due-Window Assignment Methods and Scheduling with Generalized Positional-Dependent Weights

Author

Listed:
  • Ji-Bo Wang

    (School of Science, Shenyang Aerospace University, Shenyang 110136, P. R. China)

  • Si-Han Wang

    (School of Science, Shenyang Aerospace University, Shenyang 110136, P. R. China)

  • Kaipeng Cao

    (College of Economic and Management, Yunnan Agricultural University, Kunming 650201, Yunnan, P. R. China)

  • Mengqi Liu

    (Business School, Hunan University, Changsha 410082, Hunan, P. R. China)

  • Xue Jia

    (School of Science, Shenyang Aerospace University, Shenyang 110136, P. R. China)

Abstract

We focus on a single-machine scheduling problem with common and slack due-window assignment methods. Both the job sequence and due-windows are decision variables to be determined by the decision maker. We consider the following performance criterion: the total weighted number of early and late jobs plus the total weighted of earliness, tardiness and due-window assignment cost, where the weights depend on the position in which a job is scheduled. Some properties are established, and it is shown that the problem can be solved in O(n5) time, where n is the number of jobs. The extensions of the model are to cases of general position-dependent processing times and time-dependent processing times.

Suggested Citation

  • Ji-Bo Wang & Si-Han Wang & Kaipeng Cao & Mengqi Liu & Xue Jia, 2022. "Due-Window Assignment Methods and Scheduling with Generalized Positional-Dependent Weights," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 39(05), pages 1-19, October.
    • Handle: RePEc:wsi:apjorx:v:39:y:2022:i:05:n:s0217595922500282
    DOI: 10.1142/S0217595922500282
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    Cited by:

    1. Yi-Chun Wang & Si-Han Wang & Ji-Bo Wang, 2023. "Resource Allocation Scheduling with Position-Dependent Weights and Generalized Earliness–Tardiness Cost," Mathematics, MDPI, vol. 11(1), pages 1-11, January.

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