On the Backoff Scheme for SPMA Network: A Spatio-Temporal Mathematical Model

The backoff scheme plays a key role in reducing the transmission collision and enhancing the efficiency of statistical priority-based multiple access (SPMA) network. In this letter, a spatio-temporal mathematical model is proposed to evaluate how the backoff scheme affects the SPMA network performance with
$N$
-priority services. We explicitly integrate the backoff procedure into a Geo/PH/1 Discrete-time Markov Chain (DTMC) which is further incorporated into the stochastic geometry framework to characterize the interference among spatially interacting queues. We derive the network performance metrics in terms of multiple access probability (MAP), burst success probability, and packet success probability, and analyze the impact of backoff parameters on SPMA network performance under different traffic loads.