A Queueing Network Model of a Circuit Switching Access Scheme in an Integrated Services Environment

A closed cyclic queueing system with multiple classes is analyzed numerically. The queueing system was originally motivated by a need to model circuit switching traffic in a data multiplexing scheme which provides both circuit and switching capabilities. The queueing system consists of two nodes, namely the primary and the secondary node. Customers in the primary node may require a random number of servers simultaneously. The secondary node simply provides the means of modelling the arrival process to the primary node. An efficient numerical procedure was devised with a view to obtaining performance measures such as throughput, queue-length distribution and utilization.