The factional Brownian motion has attracted significant attention because it accurately represents Internet traffic characteristics and is amenable to analysis. A link between the probability density function of the steady-state queue size of a queue with a fractional Brownian input and the generalised Gamma distribution is discovered, and the mean, variance, third central moment and skewness are provided. New simulation results that validate the accuracy of these queueing statistics are also provided.

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Statistical characteristics of queue with fractional Brownian motion input

References

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