Internal blocking probability calculation in switching networks with additional inter-stage links and engset traffic

This paper presents a method for modeling switching networks with overflow links that are offered multi-service traffic generated by a limited number of sources. A particular emphasis is put on the possibility to achieve a significant reduction in the blocking probability in the switching network that will result from the application of additional overflow links in the first stage of the switching network. Additionally, the paper proves that the accuracy of the proposed method for switching networks with Engset traffic is not lower than that for networks with Erlang traffic. The results of the analytical calculations are compared with the results obtained during the simulation experiments, which confirms the correctness and validity of all adopted theoretical assumptions.