Asymptotic analysis of a fluid model modulated by an M/M/1 queue
D. Dominici (Technische Universität Berlin - SUNY New Paltz, Germany) and C. Knessl (Dept. of Mathematics, Statistics and Computer Science University of Illinois at Chicago USA)
In the last twenty years, queuing models have appeared in which a continuous quantity, referred to as a fluid, takes the role of the number of customers or queue length. In these models, fluid flows into a reservoir according to some stochastic process. Since the fluid reservoir takes the role of the traditional customer queue, it is often referred to as a fluid queue.
In this talk I shall consider the case of an infinitely large buffer which receives and releases fluid flow at a rate which is modulated by an M/M/1 process with arrival rate ? and service rate ?