Telephone Traffic Analysis Based on a Scale-Free User Network

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 small-world scale-free network to model the behavior of telephone users. Each user has a fixed set of acquaintances with whom the user may communicate, and the number of acquaintances follows a power-law distribution. We show that network traffic is greatly influenced by the user network behavior, and that call blocking probability is generally higher in the case of a scalefree 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 property of the user network.