Approximation models of wireless cellular networks using moment matching

In this paper we present an analytical model for microcellular and picocellular wireless networks for any arbitrary topology in a high-mobility environment. We introduce an approximation technique which uses a single-cell decomposition analysis which incorporates moment matching of hand-off processes into the cell. The approximation technique is novel in that it can provide close approximations for non-Poisson arrival traffic and it is easily parallelized. Performance measures such as new calls blocked and hand-off calls lost are presented for any general call arrival distribution in a non-homogeneous traffic environment. We produce some numerical examples for some simple topologies with varying mobility for several call arrival distributions and compare our results to those from simulation studies.