Some Features of the Implementation of the Pareto Distribution in the Simulation of Fractal Queuing Systems

Abstract

The ON/OFF model is considered, known as the packet series model, in which the source states alternate between ON and OFF states, where the time spent in at least one of these states is described by distributions with heavy tails - the Pareto distribution. It is shown that the correct implementation of the Pareto distribution is associated with specific computational difficulties caused by the slow decay of the heavy power-law tail of the distribution.