Abstract
We consider a fluid queue driven by a discouraged arrivals queue and obtain explicit expressions for the stationary distribution function of the buffer content in terms of confluent hypergeometric functions. We compare it with a fluid queue driven by an infinite server queue. Numerical results are presented to compare the behaviour of the buffer content distributions for both these models.
Highlights
Stochastic fluid flow models are increasingly used in the performance analysis of communication and manufacturing models
Resnick and Samorodnitsky [12] have obtained the steadystate distribution of the buffer content for M/G/∞ input fluid queues using large deviation approach
We show that the buffer content distributions of fluid queues modulated by the two models vary considerably as depicted in the graph
Summary
We consider a fluid queue driven by a discouraged arrivals queue and obtain explicit expressions for the stationary distribution function of the buffer content in terms of confluent hypergeometric functions. We compare it with a fluid queue driven by an infinite server queue. Numerical results are presented to compare the behaviour of the buffer content distributions for both these models.
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