Rate-Limited EAFRP: A New Improved Model for High-Speed Network Traffic

Abstract

The EAFRP model has been recently proposed for modeling the self-similar and impulsive traffic of high-speed networks. For mathematical simplicity, it assumes that the available transmission bandwidth in the network is infinite. We here propose a modification of the model that takes into account the fact that the network has a limit, R, on the total traffic rate through it, and in addition, each user's traffic rate is often independently limited to a value, L, which is significantly lower than the network's limit (L < R). We show that the existence of these two rate limits, L and R, results in the distinctive two slope behavior of the loglog survival function of the overall traffic, a fact that has not been explained so far by existing models. We further show that it achieves a closer approximation of the observed reality than the EAFRP model