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A Fluid Queue Driven by a Markovian Queue

Bruno Sericola 1 Bruno Tuffin 1
1 MODEL - Modeling Random Systems
IRISA - Institut de Recherche en Informatique et Systèmes Aléatoires, INRIA Rennes
Abstract : We consider a fluid queue receiving its input from the output of a Markovian queue with finite or infinite waiting room. The input rate of the fluid queue is characterized by a Markov modulated rate process. We derive a new approach for the computation of the stationary buffer content. This approach leads to a numerically stable algorithm for which the precision of the result can be given in advance.
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Submitted on : Wednesday, May 24, 2006 - 12:40:23 PM
Last modification on : Friday, February 4, 2022 - 3:15:07 AM
Long-term archiving on: : Sunday, April 4, 2010 - 11:44:47 PM


  • HAL Id : inria-00073383, version 1


Bruno Sericola, Bruno Tuffin. A Fluid Queue Driven by a Markovian Queue. [Research Report] RR-3306, INRIA. 1997. ⟨inria-00073383⟩



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