Methods of the Statistical Simulation of the Self-similar Traffic

  • Anatolii Pashko
  • Violeta Tretynyk
Conference paper
Part of the Advances in Intelligent Systems and Computing book series (AISC, volume 754)


The problem of evaluating the quality of the service is one of the important tasks of analyzing the traffic of telecommunication networks. Characteristics of traffic of modern telecommunication networks vary widely and depend on a large number of parameters and network settings, characteristics of protocols and user’s work. Recent studies argue that network traffic of modern networks has the properties of self-similarity. And this requires finding adequate methods for traffic simulating and loading processes in modern telecommunication networks.

The article deals with the methods of statistical simulation of fractional Brownian motion based on the spectral image. The developed methods are used for modeling of self-similar traffic and loading process of telecommunication networks. Estimates of the probability of repositioning are found.


Fractional Brownian motion Hurst index Accuracy and reliability of the model Gaussian random process Self-similar traffic 


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© Springer International Publishing AG, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Taras Shevchenko University of KyivKyivUkraine
  2. 2.National Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute”KyivUkraine

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