Analytical computation of spatial traffic distribution in a typical region of a cellular network by proposing a general mobility model

We propose a general mobility model based on region splitting and mapping each subregion on a multi-server node. By using the theory of multi-class Jackson queueing network with multiserver nodes and employing the product-form solution for such queueing networks, we obtain an analytical form for the spatial traffic distribution in a typical region with specific number of users. To this end, we consider the spatial statistical pattern for new and handoff call arrivals and the ratio between these two types of arrivals. At last, we apply our new model to some simple mobility scenarios and compute the resultant active user's location densities.