Optimal Routing in Deterministic Queues in Tandem
Identifieur interne : 008A96 ( Main/Exploration ); précédent : 008A95; suivant : 008A97Optimal Routing in Deterministic Queues in Tandem
Auteurs : Bruno Gaujal [France] ; Emmanuel Hyon [France]Source :
English descriptors
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 of the whole system. We show that the optimal routing is a Sturmian word which density depends on the decomposition in continuous fraction of the maximum service time on each route. In order to do this we study the output process of deterministic queues when the input process is Sturmian.
Url:
Affiliations:
- France
- Auvergne-Rhône-Alpes, Grand Est, Lorraine (région), Rhône-Alpes
- Lyon, Nancy
- Institut national polytechnique de Lorraine, Université Claude Bernard Lyon 1, Université Nancy 2, Université de Lorraine, Université de Lyon
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We show that the optimal routing is a Sturmian word which density depends on the decomposition in continuous fraction of the maximum service time on each route. In order to do this we study the output process of deterministic queues when the input process is Sturmian.</div></front></TEI><affiliations><list><country><li>France</li></country><region><li>Auvergne-Rhône-Alpes</li><li>Grand Est</li><li>Lorraine (région)</li><li>Rhône-Alpes</li></region><settlement><li>Lyon</li><li>Nancy</li></settlement><orgName><li>Institut national polytechnique de Lorraine</li><li>Université Claude Bernard Lyon 1</li><li>Université Nancy 2</li><li>Université de Lorraine</li><li>Université de Lyon</li></orgName></list><tree><country name="France"><region name="Auvergne-Rhône-Alpes"><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>Pour manipuler ce document sous Unix (Dilib)
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