Abstract
In this paper, improvements in the traffic behavior modeling method based on the consideration of traffic self-similarity properties was proposed. Two methods for calculating the Hurst parameter were used: R/S plot method and V/S analysis method. The research was carried out on real traffic network data, collected from LPNU ACS Department. The selected methods were implemented in the corresponding software. The work of the methods was illustrated in experimental calculations. Also, the results was shown in the form of both tables and plots.
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References
The Zettabyte Era: Trends and Analysis. https://www.cisco.com/c/en/us/solutions/collateral/service-provider/visual-networking-index-vni/vni-hyperconnectivity-wp.html
Gelembe, E.: Steps towards self-aware networks. Commun. ACM 52(7), 66–75 (2009). https://doi.org/10.1109/CIT.2010.508
Toral-Cruz, H., Pathan, A.K., Ramirez Pacheco, J.C.: Accurate modeling of VoIP traffic QoS parameters in current and future networks with multifractal and Markov models. Math. Comput. Model. 57(11–12), 2832–2845 (2013). https://doi.org/10.1016/j.mcm.2011.12.007
Dronyuk, I., Fedevych, O.: Traffic flows ateb-prediction method with fluctuation modeling using Dirac functions. Commun. Comput. Inf. Sci. 718, 3–13 (2017). https://doi.org/10.1007/978-3-319-59767-6_1
Mishura, Y., Ral’chenko, K., Seleznev, O., Shevchenko, G.: Asymptotic properties of drift parameter estimator based on discrete observations of stochastic differential equation driven by fractional brownian motion. In: Korolyuk, V., Limnios, N., Mishura, Y., Sakhno, L., Shevchenko, G. (eds.) Modern Stochastics and Applications. SOIA, vol. 90, pp. 303–318. Springer, Cham (2014). https://doi.org/10.1007/978-3-319-03512-3_17
Park, K., Willinger, W.: Self-similar network traffic: an overview. In: Self-Similar Network Traffic and Performance Evaluation. Wiley (2000). https://doi.org/10.1002/047120644X.ch1
Demydov, I., Klymash, M., Kharkhalis, Z., Strykhaliuk, B., Komada, P., Shedreyeva, I., Targeusizova, A., Iskakova, A.: The research of the availability at cloud service systems In: Proceedings Volume 10445, Photonics Applications in Astronomy, Communications, Industry, and High Energy Physics Experiments 2017, 104451V (2017). https://doi.org/10.1117/12.2280885
Gnatushenko, V.V., Ali, D.: Studies of self-similar processes traffic based on the ON/OFF model. In: Bulletin of the National University “Lviv Polytechnic”, Series of “Computer Science and Information Technologies” - Lviv, No. 751, pp. 87–94 (2013). (in Ukrainian)
Ramirez-Pacheco, J.C., Torres-Roman, D., Toral-Cruz, H., Estrada-Vargas, L.: A high performance tool for the test of long-memory and self-similarity. In: Simulation Technologies in Networking and Communications: Selecting the Best Tool for the Test, pp. 93–114. CRC Press, Taylor & Francis Group, USA (2014). https://doi.org/10.1201/b17650-6
Estrada Vargas, L., Torres Romn, D., Toral-Cruz, H.: A study of wavelet analysis and data extraction from second-order self-similar time series. Math. Probl. Eng. 2013, 1–14 (2013). https://doi.org/10.1155/2013/102834
Cajueiro, D., Tabak, B.: The rescaled variance statistic and the determination of the Hurst exponent. Math. Comput. Simul. 70, 172–179 (2005). https://doi.org/10.1016/j.matcom.2005.06.005
Mandelbrot, B.B.: The Fractal Geometry of Nature. W. H. Freeman, NewYork (1982). https://doi.org/10.1119/1.13295. 550 p. 8
Senyk, P.: Reversal of incomplete Beta function. Ukrainian Math. J. 3, 325–333 (1969). (in Ukrainian)
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Fedevych, O., Dronyuk, I., Lizanets, D. (2018). Researching Measured and Modeled Traffic with Self-similar Properties for Ateb-Modeling Method Improvement. In: Gaj, P., Sawicki, M., Suchacka, G., Kwiecień, A. (eds) Computer Networks. CN 2018. Communications in Computer and Information Science, vol 860. Springer, Cham. https://doi.org/10.1007/978-3-319-92459-5_2
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