A new performance analysis model of the local switching system

We study and present a performance analysis model of the local switching system with three calling modes: incoming to line, line to line and line outgoing. In M/M/R/R queueing model, only incoming trunks and outgoing trunks are regarded as customers and servers respectively. This model is suited for simplified toll switches. In our model, lines are treated as either customers when calls are originated from or servers when calls are destinated to. We derive an analytic steady state solution and a loss formula for the new model and provide the comparisons of traffic between values from Erlang B formula and from our simulation results. From the comparisons, we conclude that traffic carried by the simulation is even larger than that by Erlang B formula. And M/M/R/R model is a special case of our new model