Predicting quality of service for traffic with long-range fluctuations
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We present the tail asymptotics in a queue serviced at constant rate and whose input process has long-range dependence, for example, fractional Brownian Motion (fBM) with Hurst parameter H > 1/2 . Some heterogeneous superpositions of such sources are also treated. We examine the experimental basis for self-similar modelling. If fluctuations in traffic levels can be accounted for by variations in time-dependent external parameters, rather than statistically through parsimonious modelling by fBM, then Quality of Service predictions may be achieved by applications of techniques familiar for short-range dependent traffic.
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Proceedings IEEE International Conference on Communications ICC '95