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This paper investigates the critical issue of maintaining system stability for multipacket reception (MPR)  p -persistent carrier sense multiple access (CSMA) systems. When multiple users with individual queues simultaneously transmit a packet to an access point (AP) via CSMA, the number of successful transmissions and their identities are determined probabilistically in the MPR channel. Stability signifies that none of the users&#x2019; queues grows unbounded. The stability region is a significant measure, addressing all potential permutations of mean packet arrival rates for the users to maintain bounded queue lengths. The work begins by considering a system with two users characterized by differing mean packet arrival rates and (re)transmission probabilities. Subsequently, it examines an  N -user system in which each user shares an identical packet arrival rate and retransmission probability. A backoff algorithm is then proposed for these  N  users to utilize in order to stabilize their queues. The paper concludes with numerical studies illustrating the stability region as a function of user parameters, demonstrating how the proposed backoff algorithm can be used to maximize throughput.

How Much Benefit Can Multipacket Reception Channel Bring to CSMA?