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Reports (Research Report) Year : 2000

Distribution of Busy Period in Stochastic Fluid Models

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.

Domains

Other [cs.OH]
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Dates and versions

inria-00072579 , version 1 (24-05-2006)

Identifiers

  • HAL Id : inria-00072579 , version 1

Cite

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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