An easy-to-use analytical method for finite population frequency-hop networks with locally adaptive retransmission backoff is developed. This method offers insight into the system dynamics without solving nonlinear equations. By using this method, it is shown that exponential backoff policy with small minimum retransmission probability is stable and its throughput is not too far away from the optimum, if the code block length is small and the number of users is not unreasonably large. Finally, the accuracy of the method is verified by extensive simulation results.
Thomas C. RoysterFrederick J. Block