Flow-level performance of random wireless networks

We study the flow-level performance of randomwireless networks. The locations of base stations (BSs) follow aPoisson point process. The number and positions of active usersare dynamic. We associate a queue to each BS. The performanceand stability of a BS depend on its load. In some cases, thefull distribution of the load can be derived. Otherwise we deriveformulas for the first and second moments. Networks on theline and on the plane are considered. Our model is genericenough to include features of recent wireless networks such as4G (LTE) networks. In dense networks, we show that the inter-cell interference power becomes normally distributed, simplifyingmany computations. Numerical experiments demonstrate that incases of practical interest, the loads distribution can be wellapproximated by a gamma distribution with known mean andvariance. 1