Semi-online scheduling with GoS eligibility constraints

We consider semi-online scheduling problems on parallel machines to minimize the makespan subject to Grade of Service (GoS) eligibility constraints with different prior information: (1) the known total processing time, (2) the known largest processing time, (3) the known both total and largest proce...

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Bibliographic Details
Published in:International journal of production economics Vol. 153; pp. 204 - 214
Main Authors: Lee, Kangbok, Hwang, Hark-Chin, Lim, Kyungkuk
Format: Journal Article
Language:English
Published: Amsterdam Elsevier B.V 01.07.2014
Elsevier Sequoia S.A
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ISSN:0925-5273, 1873-7579
Online Access:Get full text
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Summary:We consider semi-online scheduling problems on parallel machines to minimize the makespan subject to Grade of Service (GoS) eligibility constraints with different prior information: (1) the known total processing time, (2) the known largest processing time, (3) the known both total and largest processing times and (4) the known optimal makespan. For semi-online problems with different numbers of machines and information, we present a unified algorithm. Then we provide lower bounds of the competitive ratio for any algorithm and prove the competitive ratio of the proposed algorithm.
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ISSN:0925-5273
1873-7579
DOI:10.1016/j.ijpe.2014.03.001