S.G. Semenov, E.V. Meleshko, Ya.V. Ilyushko

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The analysis of approaches of mathematical design of the informatively-telecommunication systems is conducted on the whole, and possibilities of mathematical design of modern telecommunication networks by the GERT-net in particular. The mathematical model of multiservice communication channel is developed on the basis of exponential GERT-net. Analytical expression is got for the calculation of closeness of distributing of time of transmission of report in the channel of connection of network of NGN. A theorem is proved about impossibility of generation of poles of the second and third order, certain as a result of mathematical design, by a polynomial.