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

Weidong Lei (), Linhui Sun, Na Ren (), Xue Jia () and Ji-Bo Wang
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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

Asia-Pacific Journal of Operational Research (APJOR), 2024, vol. 41, issue 02, 1-13

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.

Keywords: Scheduling; single-machine; learning effect; past-sequence-dependent delivery times (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1142/S0217595923500148

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