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Research on Delivery Times Scheduling with Sum of Logarithm Processing Times-Based Learning Effect

Author

Listed:
  • Weidong Lei

    (College of Management, Xi’an University of Science and Technology, Xi’an 710054, P. R. China)

  • Linhui Sun

    (College of Management, Xi’an University of Science and Technology, Xi’an 710054, P. R. China)

  • Na Ren

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

  • Xue Jia

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

  • Ji-Bo Wang

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

Abstract

In this paper, we address single-machine scheduling with sum of logarithm processing times-based learning effect. Under exponential past-sequence-dependent delivery times, we proved that the makespan and total completion time minimizations can be solved by the smallest processing time (SPT) first rule. Under the agreeable weight condition and agreeable due date condition, we show that the total weighted completion time minimization and maximum tardiness minimization can be solved in polynomial time, respectively.

Suggested Citation

  • Weidong Lei & Linhui Sun & Na Ren & Xue Jia & Ji-Bo Wang, 2024. "Research on Delivery Times Scheduling with Sum of Logarithm Processing Times-Based Learning Effect," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 41(02), pages 1-13, April.
    • Handle: RePEc:wsi:apjorx:v:41:y:2024:i:02:n:s0217595923500148
    DOI: 10.1142/S0217595923500148
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