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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.
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https://hal.inria.fr/inria-00072770
Contributor : Rapport de Recherche Inria <>
Submitted on : Wednesday, May 24, 2006 - 10:50:59 AM
Last modification on : Thursday, February 11, 2021 - 2:48:03 PM
Long-term archiving on: : Sunday, April 4, 2010 - 9:24:11 PM

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  • HAL Id : inria-00072770, version 1

Citation

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

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