Abstract
We consider a fluid queue with on periods initiated by a Poisson process and having a long-tailed distribution. This queue has long-range dependence, and we compute the asymptotic behaviour of the steady-state distribution of the buffer content. The tail of this distribution is much heavier than the tail of the buffer content distribution of a queue which does not possess long-range dependence and which has light-tailed on periods and the same traffic intensity.
Citation
Sidney Resnick. Gennady Samorodnitsky. "Steady-state distribution of the buffer content for M/G/∞ input fluid queues." Bernoulli 7 (2) 191 - 210, April 2001.
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