Abstract
The problems of determining the fractal dimension of a time series obtained using a self-similar traffic generator based on Markov chains with a controlled fractal dimension are stated. Based on numerical experiments to de- termine the fractal dimension of the generated numerical sequences, statistically significant changes are shown at different scales. The insufficient development of high-performance algorithms and methods for generating self-similar numer- ical sequences for procedure of traffic simulation in telecommunication systems and networks is indicated. The directions of further research on the manage- ment of the multifractality in generators based on Markov chains are proposed .