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Branch-and-bound algorithm for total weighted tardinessminimization on parallel machines under release dates assumptions

Published online by Cambridge University Press:  05 July 2012

Imed Kacem ,
Nizar Souayah  and
Mohamed Haouari
Imed Kacem
Affiliation:
Universitéde Lorraine, LCOMS, UFR MIM, Ile du Saulcy, 57000 Metz, France. imed.kacem@gmail.com
Nizar Souayah
Affiliation:
École Polytechnique de Tunisie, 2078 La Marsa, Tunisia
Mohamed Haouari
Affiliation:
École Polytechnique de Tunisie, 2078 La Marsa, Tunisia
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Abstract

This paper deals with the parallel-machine scheduling problem with the aim of minimizingthe total (weighted) tardiness under the assumption of different release dates. Thisproblem has been proven to be NP-hard. We introduce some new lower and upper bounds basedon different approaches. We propose a branch-and-bound algorithm to solve the weighted andunweighted total tardiness. Computational experiments were performed on a large set ofinstances and the obtained results showed that our algorithms are efficient.

Keywords

Schedulingweighted tardinessparallel machinesbranch-and-boun
Type
Research Article
Information
RAIRO - Operations Research , Volume 46 , Issue 2 , April 2012 , pp. 125 - 147
Copyright
© EDP Sciences, ROADEF, SMAI, 2012

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