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A Finite Buffer Fluid Queue Driven by a Markovian Queue

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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, a procedure for the computation of the stationary buffer content of the fluid queue and 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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Authors and Affiliations

  1. Campus de Beaulieu, IRISA-INRIA, 35042, Rennes Cedex, France

    Bruno Sericola

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  1. Bruno Sericola
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Sericola, B. A Finite Buffer Fluid Queue Driven by a Markovian Queue. Queueing Systems 38, 213–220 (2001). https://doi.org/10.1023/A:1010962516045

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