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Minimizing Total Weighted Completion Time on Single Machine with Past-Sequence-Dependent Setup Times and Exponential Time-Dependent and Position-Dependent Learning Effects

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Indexed by:期刊论文

Date of Publication:2009-01-01

Journal:DISCRETE DYNAMICS IN NATURE AND SOCIETY

Included Journals:SCIE、Scopus

Volume:2009

ISSN No.:1026-0226

Abstract:This paper addresses a single-machine problem in which the past-sequence-dependent (p-s-d) setup times and exponential time-dependent and position-dependent learning effects are considered. By the exponential time-dependent learning effect, it means that the processing time of a job is defined by an exponent function of the total actual processing time of the already processed jobs. The setup times are proportional to the length of the already processed jobs. The aim is to minimize the total weighted completion time, this is an NP-hard problem. Under certain conditions, it is shown that the classical WSPT rule is optimal for the problem. Copyright (C) 2009 K. Sun and H. Li.

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