Asymptotic analysis of adaptive Markovian access control protocols

In this paper, the technique developed in [1], [2] is applied to adaptive access control protocols. Both an adaptive ALOHA-type system and an adaptive TDMA-type system are considered. It is shown that for a large number of users both systems can utilize the same set of adaptation parameters, even though in the adaptive TDMA-type system the switching mode is required in order to achieve the maximum stable throughput. It is also shown that the adaptive TDMA-type system has superior throughput characteristics. In addition, the behavior of adaptive protocols in noisy environment is analyzed and it is shown that the throughput degradation is negligible if the probability of channel error is less than 0.15.