Single-Machine Group Scheduling Model with Position-Dependent and Job-Dependent DeJong’s Learning Effect

Jin Qian and Yu Zhan
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Jin Qian: College of Science, Northeastern University, Shenyang 110819, China
Yu Zhan: College of Science, Northeastern University, Shenyang 110819, China

Mathematics, 2022, vol. 10, issue 14, 1-9

Abstract: This paper considers the single-group scheduling models with Pegels’ and DeJong’s learning effect and the single-group scheduling models with Pegels’ and DeJong’s aging effect. In a classical scheduling model, Pegels’ and DeJong’s learning effect is a constant or position-dependent, while the learning effect and aging effect are job-dependent in this paper. Compared with the classical learning model and aging model for scheduling, the proposed models are more general and realistic. The objective functions are to minimize the total completion time and makespan. We propose polynomial time methods to solve all the studied problems.

Keywords: single-machine scheduling; aging effect; learning effect; group technology (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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