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

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1 MISTRAL - Modeling of Computer Systems and Telecommunication Networks : Research and Software Development CRISAM - Inria Sophia Antipolis - Méditerranée

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- ho

Autor: Zhen Liu - Philippe Nain Don Towsley Zhi-Li Zhang

Fuente: https://hal.archives-ouvertes.fr/

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