Analytical solution of common overflow traffic model

Abstract

In this paper, the serving model with two Poisson traffics in primary group, whereupon the rejected calls of one of them are directed to the alternative groups in sequence, is investigated. Serving intensity is changed from primary and gets different values in other groups. Generating function technique is used for the analytical solving steady state equations system. Obtained general solution for the state probabilities permits efficient traffic parameters calculation. For the case with secondary and ternary group, explicit solutions for traffic parameters are derived and graphically analyzed. This model is applicable in traditional and next generation networks with alternative routing and admission control.