Model for transformation of self-simular traffic into Poissons arrival packets

Using functional transformation, we propose an approach allowing to convert a self-similar input packet stream of multiservice traffic and to obtain a stream with the properties of the elementary stream and the variation coefficient equal to one. A model is developed that converts a self-similar input packet stream that distributes the intervals between packets distributed according to the law the Pareto in the flow is distributed between packets that describe the exponential distribution. A functional connection between the Hurst exponent and the coefficient of variation, which determines the structural complexity of the input packet flow, possessing self-similar properties, is found. A functional relationship between the coefficient of variation and the Hurst index is found using the cubic regression equation. Approximation of the dependence of the coefficient of variation on the Hurst index of the input flow is presented.