Stochastic geometry models of mobile communication networks

In this paper, the authors propose a new apporach for the modeling of mobile communication networks. The main tools are point processes and stochastic geometry. They show how several performance evaluation problems within this framework can actually be posed and solved by computing the mathematical expectation of certain functionals of point processes. The authors analyze models based on Poisson point processes for which analytical formulas can often be obtained. In particular, they obtain distributions of the number of mobiles with calls in progress in a base station cell and the number of such mobiles passing the boundary of the cell.