Optimal Routing Policies in Deterministic Queues in Tandem
Identifieur interne : 008978 ( Main/Exploration ); précédent : 008977; suivant : 008979Optimal Routing Policies in Deterministic Queues in Tandem
Auteurs : Bruno Gaujal [France] ; Emmanuel Hyon [France]Source :
English descriptors
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Abstract
In this paper, we address the problem of routing a stream of customers in two parallel networks of queues in tandem with deterministic service times in order to minimize the average response time. We show that the optimal routing is a Sturmian word which density depends on maximum service time on each route. In order to do this, we particularly study the output process of deterministic queues when the input process is Sturmian. || Dans ce papier nous nous intéressons au routage de flux de clients dans deux réseaux parallèles de files d'attente déterministes en séries. Notre but est de minimiser le temps de réponse moyen du système. Nous montrons que la politique optimale est un mot
Url:
Affiliations:
- France
- Grand Est, Lorraine (région)
- Nancy
- Institut national polytechnique de Lorraine, Université Nancy 2, Université de Lorraine
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Le document en format XML
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<front><div type="abstract" xml:lang="en">In this paper, we address the problem of routing a stream of customers in two parallel networks of queues in tandem with deterministic service times in order to minimize the average response time. We show that the optimal routing is a Sturmian word which density depends on maximum service time on each route. In order to do this, we particularly study the output process of deterministic queues when the input process is Sturmian. || Dans ce papier nous nous intéressons au routage de flux de clients dans deux réseaux parallèles de files d'attente déterministes en séries. Notre but est de minimiser le temps de réponse moyen du système. Nous montrons que la politique optimale est un mot</div>
</front>
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<affiliations><list><country><li>France</li>
</country>
<region><li>Grand Est</li>
<li>Lorraine (région)</li>
</region>
<settlement><li>Nancy</li>
</settlement>
<orgName><li>Institut national polytechnique de Lorraine</li>
<li>Université Nancy 2</li>
<li>Université de Lorraine</li>
</orgName>
</list>
<tree><country name="France"><region name="Grand Est"><name sortKey="Gaujal, Bruno" sort="Gaujal, Bruno" uniqKey="Gaujal B" first="Bruno" last="Gaujal">Bruno Gaujal</name>
</region>
<name sortKey="Hyon, Emmanuel" sort="Hyon, Emmanuel" uniqKey="Hyon E" first="Emmanuel" last="Hyon">Emmanuel Hyon</name>
</country>
</tree>
</affiliations>
</record>
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