Use of group Poisson flow in simulation modeling of modern video traffic

The possibility of using a group Poisson flow for simulation modeling of modern video traffic is considered in relation to the approximation of the first and second order statistical characteristics of the queue created by the traffic in the transmission buffer. A method is proposed for determining the parameters of an approximating group Poisson flow, which consists of simultaneously minimizing the deviation of the dependencies of the mathematical expectation of the queue and the dispersion of the queue on the channel load, calculated using the formulas for the approximating flow, from similar dependencies of real traffic. As analytical formulas for the mathematical expectation and queue dispersion, formulas obtained using the interval method for a queuing system with one device and constant service time are used. The quality of the approximation is checked by simulation of the passage of a group Poisson flow with calculated parameters through a given queuing system.