Decomposition of Traffic in Loss Systems with Renewal Input

A method is proposed for the analysis of a teletraffic network with alternative routing. The approach used is to model a "general link" as a separate entity, being a first step towards analyzing the network in a link-by-link fashion. To this end the general link is considered to be a group of fully available trunks offered a number of separate streams of traffic. By considering the multivariate point process formed by the total stream of arriving calls, the individual streams of traffic overflowing from, and the individual streams of traffic carried on the common trunk, are distinguished. All streams of traffic in the network are considered to be well described by simple renewal processes. The validity of the method is illustrated with exact numerical results and by simulation.