Framework of Applying a Non-Homogeneous Poisson Process to Model VoIP Traffic on Tandem Networks

This paper presents a new framework for Voice over IP (VoIP) traffic modeling based on a nonhomogeneous Poisson process. The telecom industry is heading towards replacing the legacy TDM networks with an IP core network. The purpose of traffic engineering is to minimize call blocking probability and maximize resource utilization. A challenge of migrating to an IP core network is to develop an engineering model for VoIP traffic. We studied the call arrival process based on hundreds of millions of calls, and our analysis shows that the traditional traffic engineering approach based on the Poisson process fails to model the traffic behavior of modern telecommunication systems. We develop a new framework for modeling call arrivals as a non-homogeneous Poisson process, and propose a dynamic resource allocation procedure to maximize the bandwidth utilization for converged voice and data networks. The model is validated by real traffic data, and is also applied to predict the behavior of future data. We conducted statistical tests which demonstrate the validity of our model and the goodness-of-fit of predicted data and actual data Key-Words: Traffic engineering, VoIP, Erlang-B, Call arrival modeling, NHPP.