In this paper, on the basis of the Laplace-Stieltjes transform, a mathematical model of the data transmission network control system is obtained with an absolute priority discipline of message (packet) servicing. Based on the approximate method, the probability distribution functions for the timely delivery of messages (packets) are obtained. The proposed mathematical model of the data transmission network control system with absolute priority discipline of message (packet) service allows to determine the pre- failure state of the data transmission network for its various parameters.
network; data transmission; priority; message; packet; distribution function
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