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Permutation flowshop scheduling problems with time lags to minimize the weighted sum of machine completion times

Identifieur interne : 004158 ( Main/Exploration ); précédent : 004157; suivant : 004159

Permutation flowshop scheduling problems with time lags to minimize the weighted sum of machine completion times

Auteurs : Julien Fondrevelle [France] ; Ammar Oulamara [France] ; Marie-Claude Portmann [France]

Source :

RBID : Hal:hal-00235174

English descriptors

Abstract

In this article, we consider flowshop scheduling problems with minimal and maximal time lag constraints. Such constraints extend precedence constraints between operations in the jobs and may be used to model various industrial applications. The objective is to minimize a non-classical criterion based on the weighted sum of machine completion times. We show that it generalizes makespan and we derive several complexity results for two- and three-machine problems. An exact algorithm based on a branch-and-bound procedure is developed to solve the permutation flowshop problem with m machines.

Url:
DOI: 10.1016/j.ijpe.2006.08.018


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<orgName>Laboratoire Lorrain de Recherche en Informatique et ses Applications</orgName>
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<addrLine>Campus Scientifique BP 239 54506 Vandoeuvre-lès-Nancy Cedex</addrLine>
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<country>France</country>
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<settlement type="city">Nancy</settlement>
<settlement type="city">Metz</settlement>
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<region type="old region" nuts="2">Lorraine (région)</region>
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<orgName type="university">Université de Lorraine</orgName>
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<idno type="DOI">10.1016/j.ijpe.2006.08.018</idno>
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<title level="j">International Journal of Production Economics</title>
<idno type="ISSN">0925-5273</idno>
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<date type="datePub">2008</date>
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<keywords scheme="mix" xml:lang="en">
<term>Branch-and-bound procedure</term>
<term>Flowshop</term>
<term>Idle time</term>
<term>Minimal and maximal time lags</term>
<term>Weighted sum of machine completion times</term>
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<div type="abstract" xml:lang="en">In this article, we consider flowshop scheduling problems with minimal and maximal time lag constraints. Such constraints extend precedence constraints between operations in the jobs and may be used to model various industrial applications. The objective is to minimize a non-classical criterion based on the weighted sum of machine completion times. We show that it generalizes makespan and we derive several complexity results for two- and three-machine problems. An exact algorithm based on a branch-and-bound procedure is developed to solve the permutation flowshop problem with m machines.</div>
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<li>France</li>
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<li>Auvergne-Rhône-Alpes</li>
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<li>Rhône-Alpes</li>
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<li>Nancy</li>
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<li>Université de Lorraine</li>
<li>Université de Lyon</li>
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<name sortKey="Portmann, Marie Claude" sort="Portmann, Marie Claude" uniqKey="Portmann M" first="Marie-Claude" last="Portmann">Marie-Claude Portmann</name>
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