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Reports (Research Report) Year : 2000

A Finite Buffer Fluid Queue Driven by a Markovian Queue

Bruno Sericola

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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Other [cs.OH]
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Dates and versions

inria-00072770 , version 1 (24-05-2006)

Identifiers

  • HAL Id : inria-00072770 , version 1

Cite

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