Telephone traffic analysis based on scale-free user network and scale-free load distribution

In this paper we analyze the traffic of telephone systems. Unlike classical traffic analysis where users are assumed to be connected uniformly, our proposed method employs a scale-free network to model the connectivity of telephone users. Furthermore, the probabilities for different users to make calls are different. This inequality is expressed by a scale-free traffic load distribution. We show that network traffic is greatly influenced by the user behavior, and that call blocking probability is generally higher in the case of a scale-free user network. It is also shown that the carried traffic intensity is practically limited not only by the network capacity but also by the scale-free properties of the user behavior.