A Mixed-Fractal Traffic Flow Model Whose Hurst Exponent Appears Crossover

Abstract

In this paper, we propose a new traffic flow model, aiming to provide a possible explanation and meanwhile a useful simulation tool for the multi-fractal network traffic. It is shown that the Hurst exponent for the mainline traffic flow will appear crossover phenomena, if it consists of several self similar components with different Hurst exponents. Therefore, crossover phenomena are pervasive in practice, since the inflows from the branch lines are usually heterogenous and may have similar yet distinct Hurst exponents. Our results indicate that this model is useful in network traffic modeling and simulation.