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Methods of the Statistical Simulation of the Self-similar Traffic

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Advances in Computer Science for Engineering and Education (ICCSEEA 2018)

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 754))

Abstract

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.

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Author information

Authors and Affiliations

  1. Taras Shevchenko University of Kyiv, Kyiv, Ukraine

    Anatolii Pashko

  2. National Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute”, Kyiv, Ukraine

    Anatolii Pashko & Violeta Tretynyk

Authors
  1. Anatolii Pashko
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  2. Violeta Tretynyk
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Corresponding author

Correspondence to Violeta Tretynyk .

Editor information

Editors and Affiliations

  1. School of Educational Information Technology, Central China Normal University, Wuhan, Hubei, China

    Zhengbing Hu

  2. Mechanical Engineering Research Institute, Russian Academy of Sciences, Moscow, Russia

    Sergey Petoukhov

  3. Faculty of Applied Mathematics, National Technical University of Ukraine “Igor Sikorsky Kiev Polytechnic Institute”, Kiev, Ukraine

    Ivan Dychka

  4. Halmos College of Natural Sciences and Oceanography, Nova Southeastern University, Ft. Lauderdale, Florida, USA

    Matthew He

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Pashko, A., Tretynyk, V. (2019). Methods of the Statistical Simulation of the Self-similar Traffic. In: Hu, Z., Petoukhov, S., Dychka, I., He, M. (eds) Advances in Computer Science for Engineering and Education. ICCSEEA 2018. Advances in Intelligent Systems and Computing, vol 754. Springer, Cham. https://doi.org/10.1007/978-3-319-91008-6_6

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