A Finite Buffer Fluid Queue Driven by a Markovian Queue

Bruno Sericola 1
1 ARMOR - Architectures and network models
IRISA - Institut de Recherche en Informatique et Systèmes Aléatoires, INRIA Rennes, Ecole Nationale Supérieure des Télécommunications de Bretagne
Abstract : We consider a finite buffer fluid queue receiving its input from the output of a Markovian queue with finite or infinite waiting room. The input flow into the fluid queue is thus characterized by a Markov modulated input rate process and we derive, for a wide class of such input processes, an approach for the computation of the stationary buffer content of the fluid queue and so for the computation of the stationary overflow probability. This approach leads to a numerically stable algorithm for which the precision of the result can be specified in advance.
Type de document :
Rapport
[Research Report] RR-3883, INRIA. 2000
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https://hal.inria.fr/inria-00072770
Contributeur : Rapport de Recherche Inria <>
Soumis le : mercredi 24 mai 2006 - 10:50:59
Dernière modification le : mercredi 16 mai 2018 - 11:23:02
Document(s) archivé(s) le : dimanche 4 avril 2010 - 21:24:11

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  • HAL Id : inria-00072770, version 1

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Bruno Sericola. A Finite Buffer Fluid Queue Driven by a Markovian Queue. [Research Report] RR-3883, INRIA. 2000. 〈inria-00072770〉

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