LAUSR

Abstract This paper studies a discrete-time single-server queueing system with correlated arrivals. Arrivals at the queue stem from a number of active sessions, each generating a packet in a slot with a fixed probability q. Since an exact queueing analysis is not feasible for q ≠ 1, we rely on Taylor-series expansions of the joint probability generating functions of the number of active sessions and the queue content around q = 0 . These expansions are then either combined with the known generating function for q = 1 if the system is stable for q = 1 , or with heavy-traffic results if this is not the case. In either case, we obtain expressions for the moments of queue content and packet delay and assess the accuracy of our approximations by a simulation study.