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Reports Year : 1997

Asymptotic Behavior of a Multiplexer Fed by a Long-Range Dependent Process

Philippe Nain
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Don Towsley
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Zhi-Li Zhang
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Abstract

In this paper we study the asymptotic behavior of the tail of the stationary backlog distribution in a single server queue with constant service capacity c, fed by the so-called «$M/G/\infty$ input process» or «Cox input process». Asymptotic lower bounds are obtained for any distribution $G$ and asymptotic upper bounds are derived when $G$ is a subexponential distribution. We find the bounds to be tight in some instances, e.g., $G$ corresponding to either the Pareto or lognormal distribution and $c-\rho<1$, where $\rho$ is the arrival rate to the buffer.
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Dates and versions

inria-00073459 , version 1 (24-05-2006)

Identifiers

  • HAL Id : inria-00073459 , version 1

Cite

Zhen Liu, Philippe Nain, Don Towsley, Zhi-Li Zhang. Asymptotic Behavior of a Multiplexer Fed by a Long-Range Dependent Process. RR-3230, INRIA. 1997. ⟨inria-00073459⟩
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