Serving system with the correlated component of overflow traffic having changed serving intensity

The serving model of two Poisson traffic distributions in the first choice trunk group has been explicitly solved, whereupon the rejected calls of one of the traffic distributions are directed to a second trunk group and are served with changed serving intensity. This problem is encountered in situations where; owing to requesting a connection through several nodes on the alternative route of a circuit switching network, the mean occupation time is increased, or when this time is reduced due to the existence of the information about the increased cost of using the alternative route. The analytical solutions for the losses, state probabilities and overflow traffic moments are the generalisation of the solutions of some simpler overflow traffic models