Fluid queues driven by a discouraged arrivals queue
2003 ◽
Vol 2003
(24)
◽
pp. 1509-1528
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Keyword(s):
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.