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Permutation Flowshop Scheduling Problems with Maximal and Minimal Time Lags

Identifieur interne : 006752 ( Main/Exploration ); précédent : 006751; suivant : 006753

Permutation Flowshop Scheduling Problems with Maximal and Minimal Time Lags

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

Source :

RBID : Hal:inria-00100091

Descripteurs français

Abstract

In this paper we study permutation flowshop problems with minimal and/or maximal time lags, where the time lags are defined between couples of successive operations of jobs. Such constraints may be used to model various industrial situations, for instance the production of perishable products. We present theoretical results concerning two-machine cases, we prove that the two-machine permutation flowshop with constant maximal time-lags is strongly NP-hard. We develop an optimal branch and bound procedure to solve the m-machine permutation flowshop problem with minimal and maximal time lags. We test several lower bounds and heuristics providing upper bounds on different classes of benchmarks, and we carry out a performance analysis.

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<term>branch and bound</term>
<term>complexity</term>
<term>complexité</term>
<term>contraintes d'écart minimal et maximal</term>
<term>flowshop de permutation</term>
<term>heuristics</term>
<term>heuristiques</term>
<term>minimal and maximal time lags</term>
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<div type="abstract" xml:lang="en">In this paper we study permutation flowshop problems with minimal and/or maximal time lags, where the time lags are defined between couples of successive operations of jobs. Such constraints may be used to model various industrial situations, for instance the production of perishable products. We present theoretical results concerning two-machine cases, we prove that the two-machine permutation flowshop with constant maximal time-lags is strongly NP-hard. We develop an optimal branch and bound procedure to solve the m-machine permutation flowshop problem with minimal and maximal time lags. We test several lower bounds and heuristics providing upper bounds on different classes of benchmarks, and we carry out a performance analysis.</div>
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