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论文类型：期刊论文
发表时间：2013-02-15
发表刊物：APPLIED MATHEMATICAL MODELLING
收录刊物：SCIE、EI、SSCI
卷号：37
期号：4
页面范围：2364-2373
ISSN号：0307-904X
关键字：Scheduling; Single machine; Flow shop; Learning effect
摘要：The paper deals with machine scheduling problems with a general learning effect. By the general learning effect, we mean that the actual processing time of a job is not only a non-increasing function of the total weighted normal processing times of the jobs already processed, but also a non-increasing function of the job's position in the sequence, where the weight is a position-dependent weight. We show that even with the introduction of a general learning effect to job processing times, some single machine scheduling problems are still polynomially solvable under the proposed model. We also show that some special cases of the flow shop scheduling problems can be solved in polynomial time. (C) 2012 Elsevier Inc. All rights reserved.