Approximation Models of Wireless Cellular Networks Using Moment Matching

In this paper we present an analytical model for microand pico-cell 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. Keywords—Pico-cell, wireless networks, moment matching