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.
https://hal.inria.fr/inria-00072579 Contributor : Rapport de Recherche InriaConnect 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
Nelly Barbot, Bruno Sericola, Miklós Telek. Distribution of Busy Period in Stochastic Fluid Models. [Research Report] RR-4057, INRIA. 2000. ⟨inria-00072579⟩