Representative Time Series Fractal Analysis of the Traffic Flows of a Dedicated High-Speed Link

Authors

  • Ginno Millán Universidad de Santiago de Chile
  • Román Osorio Comparán Universidad Nacional Autónoma de México

DOI:

https://doi.org/10.13053/cys-29-2-3469

Keywords:

Fractals, Hurst exponent (H), Long-range dependence (LRD), Fractal dimension (D), Correlation coefficient (p), Time series

Abstract

Fractal behavior and long-range dependence have been widely observed in measurements and characterization of traffic flow in high-speed computer networks of different technologies and coverage levels. This paper presents the results obtained when applying fractal analysis techniques on a time series obtained from traffic captures coming from an application server connected to the Internet through a high-speed link. The results obtained show that traffic flow in the dedicated high-speed network link exhibited fractal behavior since the Hurst exponent was in the range of 0.5, 1, the fractal dimension between 1, 1.5, and the correlation coefficient  between -0.5, 0. Based on these results, it is ideal to characterize both the singularities of the fractal traffic and its impulsiveness during a fractal analysis of temporal scales. Finally, based on the results of the time series analyzes, the fact that the traffic flows of current computer networks exhibited fractal behavior with a long-range dependency was reaffirmed.

Author Biographies

Ginno Millán, Universidad de Santiago de Chile

Licenciado en Ciencias de la Ingeniería, Pontificia Universidad Católica de Valparaíso, Chile, 2000. Ingeniero Civil Electrónico, Pontificia Universidad Católica de Valparaíso, Chile, 2001. Magíster en Ciencias de la Ingeniería Mención en Ingeniería Eléctrica, Pontificia Universidad Católica de Valparaíso, Chile, 2009. Doctor en Ciencias de la Ingeniería Mención Automática, Universidad de Santiago de Chile, 2013.

Román Osorio Comparán, Universidad Nacional Autónoma de México

Instituto de Investigación en Matemáticas Aplicadas y en Sistemas. Departamento de Ingeniería de Sistemas Computacionales y Automatización.

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Published

2025-06-18

Issue

Vol. 29 No. 2 (2025): 29(2) 2025

Section

Articles

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