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Delivery Times Scheduling with Deterioration Effects in Due Window Assignment Environments

Author

Listed:
  • Rong-Rong Mao

    (School of Economics and Management, Shenyang Aerospace University, Shenyang 110136, China)

  • Yi-Chun Wang

    (School of Economics and Management, Shenyang Aerospace University, Shenyang 110136, China)

  • Dan-Yang Lv

    (School of Economics and Management, Shenyang Aerospace University, Shenyang 110136, China)

  • Ji-Bo Wang

    (School of Economics and Management, Shenyang Aerospace University, Shenyang 110136, China)

  • Yuan-Yuan Lu

    (College of Mathematics and Computer, Jilin Normal University, Siping 136000, China)

Abstract

In practical problems, in addition to the processing time of the job, the impact of the time required for delivering the service to customers on the cost is also considered, i.e., delivery time, where the job processing time is a simple linear function of its starting time. This paper considers the impact of past-sequence-dependent delivery times (which can be referred to as p s d d t ) on the studied objectives in three types of due windows (common, slack and different due windows). This serves to minimize the weighted sum of earliness, tardiness, starting time and size of due window, where the weights (coefficients) are related to the location. Through the theoretical analysis of the optimal solution, it is found that these three problems can be solved in time O ( N log N ) , respectively, where N is the number of jobs.

Suggested Citation

  • Rong-Rong Mao & Yi-Chun Wang & Dan-Yang Lv & Ji-Bo Wang & Yuan-Yuan Lu, 2023. "Delivery Times Scheduling with Deterioration Effects in Due Window Assignment Environments," Mathematics, MDPI, vol. 11(18), pages 1-18, September.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:18:p:3983-:d:1243334
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    References listed on IDEAS

    as
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