Open finite queueing networks with M/M/C/K parallel servers

The modelling and design of facility, telecommunication, service and manufacturing systems as open, finite queueing networks are extended to include multi-server M/M/C/K servers. An analytical approximation technique is utilized to calculate system performance measures of each M/M/C/K queue. Series, merge, and splitting topologies are analyzed and it is shown that the analytical technique applies to arbitrarily configured series-parallel network topologies. In addition, the authors explore the optimal order of these M/M/C/K servers in these systems.