Generalized Model of Hybrid ALOHA

Since the genesis of layered network, designing a popper MAC control protocol was a major concern. Among many protocols which introduced earlier, there is always a trade-off between utilization and load overhead. ALOHA is one of the first MAC protocols with virtually possess no overhead, but its maximum throughput is limited. Hence a new MAC protocol introduced on basis of multi-packet reception model named Hybrid ALOHA. In the original paper stability and throughput of this algorithm for 2 or 3 users case system had been analyzed. Although stability region for above two users circumstances had been studied, there was no general form for throughput nor any practical examination of stability. In this paper, beside expanding formula for throughput for any arbitrary number of users, the throughput of system is checked with simple simulation of probability of successes and failures. Achieved results shows that regardless of additional overhead for more users, throughput remains proper, and the system is not lost stability in larger number of users.