Asymptotic Behavior of a Multiplexerfed by a Long-range Dependent Process

@inproceedings{Liu1997AsymptoticBO,
  title={Asymptotic Behavior of a Multiplexerfed by a Long-range Dependent Process},
  author={Zhen Liu and Philippe Nain and Don Towsley and Zhi-Li Zhang and Sophia Antipolis Cedex and naing Francefliu},
  year={1997}
}
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=1 input processs or Cox input processs. Asymptotic lower bounds are obtained for any distribution G and asymptotic upper bounds are derived when G is a subexponential distribution. We nd the bounds to be tight in some instances, e.g., G corresponding to either the Pareto or lognormal distribution and c ? < 1, where… CONTINUE READING