In the article a new analytical approximate method for modeling multi-service switching networks with overflow links is proposed. The method can be used for blocking probability calculation in switching networks that are offered multi-service traffic generated by finite and infinite number of sources, i.e., in switching networks with multi-service Engset traffic, in switching networks with multiservice Erlang traffic, as well as in multi-service switching networks with Erlang and Engset traffic. The simulation study performed proves high accuracy of the method proposed and confirms the correctness and validity of all adopted theoretical assumptions.
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