Optimal Routing Policy in Two Deterministic Queues
Identifieur interne : 009608 ( Main/Exploration ); précédent : 009607; suivant : 009609Optimal Routing Policy in Two Deterministic Queues
Auteurs : Bruno Gaujal [France] ; Emmanuel Hyon [France]Source :
Descripteurs français
- mix :
Abstract
We consider the problem of routing customers to one of two parallel queues where inter-arrival times and service times are deterministic. We provide an explicit formula for the average waiting time of the customers sent to one of the queues when the routing policy is an upper mechanical word. This formula is based on a special continued fraction decomposition of the service time in the queue. Using this formula we provide an algorithm computing the optimal routing policy for two queues. In general, this policy is an upper mechanical word with a rational ratio, and hence is periodic. || Dans cet article nous {étudions le routage de clients dans deux files d'attente déterministes parallèles, les temps d'interarrivées étant supposés déterministes. Nous donnons une formule explicite de la moyenne du temps d'attente des clients introduits da
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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type="university">Université Nancy 2</orgName><orgName type="institution" wicri:auto="newGroup">Université de Lorraine</orgName><placeName><settlement type="city">Nancy</settlement><region type="region" nuts="2">Grand Est</region><region type="old region" nuts="2">Lorraine (région)</region></placeName><orgName type="university">Institut national polytechnique de Lorraine</orgName><orgName type="institution" wicri:auto="newGroup">Université de Lorraine</orgName></affiliation></author></analytic></biblStruct></sourceDesc></fileDesc><profileDesc><textClass><keywords scheme="mix" xml:lang="fr"><term>continued fractions</term><term>deterministic queues</term><term>files déterministes</term><term>fractions continues</term><term>mechanical words</term><term>mots mécaniques</term></keywords></textClass></profileDesc></teiHeader><front><div type="abstract" xml:lang="en">We consider the problem of routing customers to one of two parallel queues where inter-arrival times and service times are deterministic. We provide an explicit formula for the average waiting time of the customers sent to one of the queues when the routing policy is an upper mechanical word. This formula is based on a special continued fraction decomposition of the service time in the queue. Using this formula we provide an algorithm computing the optimal routing policy for two queues. In general, this policy is an upper mechanical word with a rational ratio, and hence is periodic. || Dans cet article nous {étudions le routage de clients dans deux files d'attente déterministes parallèles, les temps d'interarrivées étant supposés déterministes. Nous donnons une formule explicite de la moyenne du temps d'attente des clients introduits da</div></front></TEI><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>Pour manipuler ce document sous Unix (Dilib)
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