Stability analysis of interconnected single-hop random-access networks

The interconnection of two single-hop random-access networks is considered. In each network a station, called the bridge node, receives internetwork packets from the local users and forwards them to the bridge node of the other network via a point-to-point link, for subsequent broadcasting to the users of that network. In each network, the bridge node shares the available broadcast channel with the local users either via contention or via frequency division. Under the infinite population Poisson user model, conditions for the stability of the interconnected system are derived