  A wireless network in which packets are broadcast to a group of receivers
through use of a random access protocol is considered in this work. The
relation to previous work on networks of interacting queues is discussed and
subsequently, the stability and throughput regions of the system are analyzed
and presented. A simple network of two source nodes and two destination nodes
is considered first. The broadcast service process is analyzed assuming a
channel that allows for packet capture and multipacket reception. In this small
network, the stability and throughput regions are observed to coincide. The
same problem for a network with N sources and M destinations is considered
next. The channel model is simplified in that multipacket reception is no
longer permitted. Bounds on the stability region are developed using the
concept of stability rank and the throughput region of the system is compared
to the bounds. Our results show that as the number of destination nodes
increases, the stability and throughput regions diminish. Additionally, a
previous conjecture that the stability and throughput regions coincide for a
network of arbitrarily many sources is supported for a broadcast scenario by
the results presented in this work.
