  In this work, we study the impact of a relay node to a network with a finite
number of users-sources and a destination node. We assume that the users have
saturated queues and the relay node does not have packets of its own; we have
random access of the medium and the time is slotted. The relay node stores a
source packet that it receives successfully in its queue when the transmission
to the destination node has failed. The relay and the destination nodes have
multi-packet reception capabilities. We obtain analytical equations for the
characteristics of the relay's queue such as average queue length, stability
conditions etc. We also study the throughput per user and the aggregate
throughput for the network.
