The maximum throughput and the maximum balanced throughput of mobile slotted ALOHA networks

The performance of mobile slotted ALOHA networks with finite population is analyzed by a multi-group model. Using this model, the group performance of a multi-group system can be interpolated to obtain the approximate user performance as a function of the distance relative to the central station. For a network approximated by a multi-group system in heavy traffic, the maximum throughput and the maximum balanced throughput problems are formulated as constrained optimization problems. These two objectives approximate the network capacity and help achieve the fairness between the close-in and distant users. In the general case, these optimization problems can be solved by numerical optimization algorithms. Faster solutions based on recursion, however, are derived for a specific system with multilevel dominating power. An application of the multi-group model to a slotted ALOHA network with a linear topology in a Rician fading channel is demonstrated. Computer simulation is used to validate the results obtained from the analytical model