Fully polynomial-time approximation scheme for single machine scheduling with proportional-linear deteriorating jobs

This article considers a single machine scheduling problem in which the processing time of a job is a linear increasing function of its starting time. The objective is to minimize the weighted number of tardy jobs. A pseudo-polynomial dynamic programming algorithm and a fully polynomial-time approxi...

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Bibliographic Details
Published in:Engineering optimization Vol. 51; no. 11; pp. 1938 - 1943
Main Authors: Zhao, Chuanli, Hsu, Chou-Jung
Format: Journal Article
Language:English
Published: Abingdon Taylor & Francis 02.11.2019
Taylor & Francis Ltd
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ISSN:0305-215X, 1029-0273
Online Access:Get full text
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Summary:This article considers a single machine scheduling problem in which the processing time of a job is a linear increasing function of its starting time. The objective is to minimize the weighted number of tardy jobs. A pseudo-polynomial dynamic programming algorithm and a fully polynomial-time approximation scheme are proposed.
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ISSN:0305-215X
1029-0273
DOI:10.1080/0305215X.2018.1558446