InforLorV4, Main, Merge, bibRecord, 007304

Optimal Routing in two parallel Queues with exponential service times

Identifieur interne : 007304 ( Main/Merge ); précédent : 007303; suivant : 007305

Optimal Routing in two parallel Queues with exponential service times

Auteurs : Bruno Gaujal [France] ; Emmanuel Hyon [France] ; Alain Jean-Marie [France]

Source :

RBID : Hal:inria-00071473

English descriptors

mix :
- OPEN-LOOP ROUTING, PARALLEL QUEUES, STURMIAN WORDS.

Abstract

In this paper we investigate the problem of the effective computation of the optimal routing sequence in a queuing system made of two queues with exponential service time in parallel. We first show that the optimal policy (minimizing the expected waiting time) is a Sturmian sequence and we establish several qualitative properties of this policy (monotonicity, continuity, convexity) Then, we propose an algorithm to compute the optimal routing sequence. We address the issues of time complexity as well as numerical stability of this algorithm. We then run an extensive set of experiments which show several interesting features of the optimal policy with apparent discontinuities and a fractal behavior.

Url:

https://hal.inria.fr/inria-00071473

Links toward previous steps (curation, corpus...)

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to stream Hal, to step Curation: 003960
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Links to Exploration step

Hal:inria-00071473

Le document en format XML

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<tutelle name="UMR5506" active="#struct-410122" type="indirect"><org type="institution" xml:id="struct-410122" status="VALID"><orgName>Université de Montpellier</orgName>
<orgName type="acronym">UM</orgName>
<desc><address><addrLine>163 rue Auguste Broussonnet - 34090 Montpellier</addrLine>
<country key="FR"></country>
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<ref type="url">http://www.umontpellier.fr/</ref>
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<tutelle name="UMR5506" active="#struct-441569" type="indirect"><org type="institution" xml:id="struct-441569" status="VALID"><idno type="ISNI">0000000122597504</idno>
<idno type="IdRef">02636817X</idno>
<orgName>Centre National de la Recherche Scientifique</orgName>
<orgName type="acronym">CNRS</orgName>
<date type="start">1939-10-19</date>
<desc><address><country key="FR"></country>
</address>
<ref type="url">http://www.cnrs.fr/</ref>
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</hal:affiliation>
<country>France</country>
</affiliation>
</author>
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<profileDesc><textClass><keywords scheme="mix" xml:lang="en"><term>OPEN-LOOP ROUTING</term>
<term>PARALLEL QUEUES</term>
<term>STURMIAN WORDS</term>
</keywords>
</textClass>
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</teiHeader>
<front><div type="abstract" xml:lang="en">In this paper we investigate the problem of the effective computation of the optimal routing sequence in a queuing system made of two queues with exponential service time in parallel. We first show that the optimal policy (minimizing the expected waiting time) is a Sturmian sequence and we establish several qualitative properties of this policy (monotonicity, continuity, convexity) Then, we propose an algorithm to compute the optimal routing sequence. We address the issues of time complexity as well as numerical stability of this algorithm. We then run an extensive set of experiments which show several interesting features of the optimal policy with apparent discontinuities and a fractal behavior.</div>
</front>
</TEI>
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Optimal Routing in two parallel Queues with exponential service times

Optimal Routing in two parallel Queues with exponential service times

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