PROBABILISTIC MODEL FOR OPTIMISATION OF TELEPHONE NETWORKS.

A prerequisite for the formulation of any optimization problem is a satisfactory mathematical model. In this paper a probabilistic model for a telephone traffic network is developed. A system of state equations is presented for the basic building block of an alternate routing network and an explicit solution is given. From this model, the blocking probabilities at any network node may be readily obtained. As a consequence, it is possible to formulate an optimization problem for the minimization of the variance of the traffic arriving at the X - tandem (subject to cost and any other required constraints).