Modeling multifractal traffic with Stochastic L-Systems

This paper proposes a novel multifractal traffic model, and an associated parameter fitting procedure, based on stochastic L-Systems, which were introduced by biologist A. Lindeamayer as a method to model plant growth. We provide a detailed comparison with a related multifractal model based on conservative cascades. Our results, that include applying the fitting procedure to real observed data with multifractal scaling behavior, show that L-System based models can achieve excellent fitting performance in terms of first and second order statistics and queuing behavior.