Mathematical Model of Single-Channel Infocommunication Node with Several Packet Flows

Despite some shortcomings of a mathematical apparatus of queuing theory, it nevertheless remained as a simple technology of the solution of problems of infocommunication nodes modeling. In this work it will be reviewed an example of the solution of such task for single-channel network node in case, that on his entrance incomes the superposition of equal priority streams of packages with various intensity. In this work, we obtain relations for calculating the distribution of states of a Markov system in the stationary condition. Possessing information on the distribution of stationary states, it is possible to calculate the quality of service parameters in the nodes of telecommunication networks: the average delay in the node, the average queue length, and the average number of packet losses. Quality of service parameters can be calculated for each of the streams entering the superposition, and for the composite flow.