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The exponential growth of reliable IP networks provides a suitable and cost-efficient replacement for the legacy TDM based voice networks. In this paper, the authors propose a new framework for modeling Voice over IP (VoIP) traffic based on a Non-Homogeneous Poisson Process (NHPP). They show that the NHPP can provide an exact fit for the call arrival data, and can also be approximated to a normal model under heavy traffic condition. The overall goal of traffic engineering is to minimize call blocking and maximize system resource utilization. Their study which is based on hundreds of millions of call arrival information shows that the poisson process fails to model the traffic behavior of modern IP-based telecommunication systems.
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