V. V. Susin, P. V. Susin

Requirements shown to characteristics of the multiplexer, basically are defined by characteristics of processable streams of messages. In this connection development of analytical model of the multiplexer considering casual character of streams of messages is of interest. Six basic conditions are describing work of the multiplexer with target turns in article. It is shown, that in these conditions streams of messages submit to Poisson-s equation, and values of length of turns can be calculated under Erlang-s formulas. Analytical dependences of distribution of probability of duration of turn, average length, a root-mean-square deviation of length of turn from average value, peak length of turn for various intensity of streams of messages, average time, maximal time, a root-mean-square deviation of a waiting time of the message in turn are received. The received results can be used at definition of ways of the further perfection of multiplexers