In this paper, performance formulae for a queue serving Gaussian traffic are presented. The main technique employed is motivated by a general form of Schilder's theorem, the large deviation result for Gaussian processes. Most probable paths leading to a given buffer occupancy are identified. Special attention is given to the case where the sample paths of the Gaussian process are smooth. The performance approximations are compared with known analytical results or by means of simulation. The approximations appear to be surprisingly accurate.

Abstract-This paper presents the Poisson Pareto burst process (PPBP) as a simple but accurate model for Internet traffic. It presents formulae relating the parameters of the PPBP to measurable traffic statistics, and describes a technique for fitting the PPBP to a given traffic stream. The PPBP is shown to accurately predict the queueing performance of a sample trace of aggregated Internet traffic. Using the traffic model, we predict that in few years, efficient statistical multiplexing will lead to efficient optical Internet.

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This paper provides means for performance evaluation of a queue with Poisson Pareto Burst Process (PPBP) input. Because of the long range dependent nature of the PPBP, straightforward simulations are unreliable. New analytical and simulation techniques are described in this paper. Numerical comparison between the results shows consistency. Conservative dimensioning rules using zero buffer approximations are examined versus the more aggressive analytical approach based on the results of this paper to provide practical guidelines for network design.

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