Call Routing with Continuous Uncertainties

Abstract This paper considers call routing in a telecommunications network. The network demands are assumed to be driven by Brownian motions and call routing takes place either directly or alternatively via an intermediate node. The expected routing processes and blocking probabilities are solved in terms of trivariate normal distributions. We consider the effects of demand uncertainty levels and their correlations on call routing and illustrate our model with a numerical example. Further, we show how our model can be used with a usual call routing method.