HAL will be down for maintenance from Friday, June 10 at 4pm through Monday, June 13 at 9am. More information
Skip to Main content Skip to Navigation
Reports

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
Document type :
Reports
Complete list of metadata
https://hal.inria.fr/inria-00072579
Contributor : Rapport de Recherche Inria Connect in order to contact the contributor
Submitted on : Wednesday, May 24, 2006 - 10:19:33 AM
Last modification on : Friday, February 4, 2022 - 3:24:10 AM
Long-term archiving on: : Sunday, April 4, 2010 - 11:14:06 PM

Files

Vignette du document
RR-4057.pdf

Identifiers

  • HAL Id : inria-00072579, version 1

Collections

INRIA | INRIA-RRRT | IRISA | CNRS | UNIV-RENNES1 | LARA | UR1-MATH-STIC | UR1-UFR-ISTIC | UNIV-RENNES | INSA-GROUPE | INSA-RENNES | UR1-MATH-NUM | EC-PARIS | INRIA2

Citation

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

Export

BibTeX TEI DC DCterms EndNote Datacite

Share

Metrics

Record views

165

Files downloads

219

 

Contact                    Legal Notice                    Personal Data