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Title: Some scheduling problems with sum-of-processing-times-based and job-position-based learning effects
Authors: Cheng, T. C. Edwin
Wu, Chin-chia
Lee, Wen-chiung
Subjects: Scheduling
Learning effect
Issue Date: 1-Jun-2008
Publisher: Elsevier
Source: Information sciences, June 2008, v. 178, no. 11, p.2476-2487.
Abstract: In this paper we introduce a new scheduling model with learning effects in which the actual processing time of a job is a function of the total normal processing times of the jobs already processed and of the job's scheduled position. We show that the single-machine problems to minimize makespan and total completion time are polynomially solvable. In addition, we show that the problems to minimize total weighted completion time and maximum lateness are polynomially solvable under certain agreeable conditions. Finally, we present polynomial-time optimal solutions for some special cases of the m-machine flowshop problems to minimize makespan and total completion time.
Rights: Information Sciences © 2008 Elsevier Science Ltd. The journal web site is located at
Type: Journal/Magazine Article
DOI: 10.1016/j.ins.2008.02.002
ISSN: 0020-0255
Appears in Collections:LMS Journal/Magazine Articles

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