Traffic models with changed serving intensities in secondary and ternary groups

In this paper the primary group with two Poisson traffics is considered whereupon the rejected calls from one of them are directed to the alternative groups and served with changed serving intensity. The generating function technique is used for the analytical solving model with secondary and ternary groups. The obtained analytically solutions essentially reduce constraint concerning the equation system sizes, convergence and calculation time, which exists during numerical solving the steady state system equations. For the case with single channel in ternary group, explicit solutions for traffic parameters are obtained. Comparison with the model which has the unique serving intensity of overflow traffic is carried out.