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Indexed by:期刊论文

Date of Publication:2013-02-15

Journal:APPLIED MATHEMATICAL MODELLING

Included Journals:SCIE、EI、SSCI

Volume:37

Issue:4

Page Number:2364-2373

ISSN No.:0307-904X

Key Words:Scheduling; Single machine; Flow shop; Learning effect

Abstract: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.