This letter investigates the stability region of    $p$   -persistent carrier sense multiple access systems with    $N$    users, where each user has an unlimited length of queue, its own arrival rate, and (re)transmission probability. To do this, we apply Foster–Lyapunov stability theorem and show the necessary and sufficient condition of the system stability in terms of the existence of queue-stabilizing (re)transmission probability. Then, using a multiobjective optimization problem, we characterize the boundary of the stability region.
['Jun-Bae Seo', 'Hu Jin']
Stability Region of $p$ -Persistent CSMA Systems