On the queue tail asymptotics for general multifractal traffic

Abstract

The tail asymptotics in an infinite capacity single server queue serviced at a constant rate and driven by general multifractal input process is presented. It has been shown that in the important subcase of the monofractal Fractional Brownian Motion (FBM) input traffic our result gives the well-known Weibullian tail. Practical engineering applications and validation of the results based on the analysis of measured network traffic have also been presented.