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Common Due Window Assignment Scheduling with Proportional Linear Deterioration Effects

Author

Listed:
  • Xue Huang

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

  • Na Yin

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

  • Wei-Wei Liu

    (School of Management and Journalism and Communications, Shenyang Sport University, Shenyang 110102, P. R. China)

  • Ji-Bo Wang

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

Abstract

In this paper, single-machine scheduling problems with proportional linear deterioration effects and common due window assignment simultaneously are considered. Two different objective functions are studied, the first is to minimize the sum of the number of early jobs, number of tardy jobs and due window location and due window size, the second is to minimize the sum of the earliness cost, tardiness cost, due window location and due window size. Optimality properties for all problems are provided and polynomial time algorithms for solving these problems are given.

Suggested Citation

  • Xue Huang & Na Yin & Wei-Wei Liu & Ji-Bo Wang, 2020. "Common Due Window Assignment Scheduling with Proportional Linear Deterioration Effects," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 37(01), pages 1-15, January.
    • Handle: RePEc:wsi:apjorx:v:37:y:2020:i:01:n:s0217595919500313
    DOI: 10.1142/S0217595919500313
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    References listed on IDEAS

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