Fluid models for single buffer systems
Frontiers in queueing
Modeling and analysis of stochastic systems
Modeling and analysis of stochastic systems
Performance analysis of priority queueing systems in discrete time
Network performance engineering
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We consider a stochastic fluid flow model with a single server and K infinite capacity buffers. The input to the k-th buffer is a Markovian on-off process that transmits fluid at a constant rate p"k while it is on and at rate 0 while it is off. The fluid is emptied from the buffers by a single server at a constant rate @m according to a static priority service discipline in which class 1 fluid has the highest and class K fluid has the lowest priority. The output process of class k is defined to be on if fluid of class k is leaving the buffer at a positive rate and off otherwise. In this paper we derive an exact method for computing the mean on-time and the mean off-time of the output process of class k. We illustrate the method with a numerical example.