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Distribution of Busy Period in Stochastic Fluid Models

Nelly Barbot 1 Bruno Sericola 1 Miklós Telek 2
1 ARMOR - Architectures and network models
IRISA - Institut de Recherche en Informatique et Systèmes Aléatoires, INRIA Rennes, Ecole Nationale Supérieure des Télécommunications de Bretagne
2 Department of Telecom - University of Budapest
Abstract : We consider the busy period in a stochastic fluid flow model with infinite buffer where the input and output rates are controlled by a finite homogeneous Markov process. We derive an explicit expression for the distribution of the busy period and we obtain an algorithm to compute it which exhibits nice numerical properties.
Keywords : NUMERICAL ANALYSIS MARKOV PROCESS STOCHASTIC FLUID MODEL BUSY PERIOD
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https://hal.inria.fr/inria-00072579
Contributor : Rapport de Recherche Inria <>
Submitted on : Wednesday, May 24, 2006 - 10:19:33 AM
Last modification on : Thursday, February 11, 2021 - 2:48:03 PM
Long-term archiving on: : Sunday, April 4, 2010 - 11:14:06 PM

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  • HAL Id : inria-00072579, version 1

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Nelly Barbot, Bruno Sericola, Miklós Telek. Distribution of Busy Period in Stochastic Fluid Models. [Research Report] RR-4057, INRIA. 2000. ⟨inria-00072579⟩

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