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Aggregated Network Traffic Modeling based on Superstatistical Approach with Account of Long-Term Dependence and Non-Stationary Dynamics Effects

Abstract

A superstatistical approach that takes into account the long-term correlation and the non-stationary dynamics is proposed fo r modelling  aggregated traffic with non-stationary dynamics. By means of queuing  system simulation, it is shown that traditional approximation based on  Kingman's formula underestimates the average sojourn time by up to two decades at high utilization. On the contrary, the use of  alternative superstatistical model taking into account the longterm correlation, this underestimation can be reduced by more than one decade.

About the Authors

Viet Nguyen Duc
Saint Petersburg Electrotechnical University "LETI"
Russian Federation

Dipl.-engineer in radio electronics and telecommunication systems (2010, Hanoi University of Science and  Technology), postgraduate student of the Department of  Radio Equipment Systems of Saint Petersburg Electrotechnical University "LETI". The author of  six scientific publications. Area of expertise: telecommunication and infocommunication systems; mathematical modelling queuing systems



O. A. Markelov
Saint Petersburg Electrotechnical University "LETI"
Russian Federation

Ph.D. in Engineering (2014), associate professor at the Department of Radio Engineering Systems of Saint Petersburg  Electrotechnical University "LETI". Author of more than 40  scientific publications. Area of expertise: statistical analysis of the dynamic systems, time series analysis, applied statistics



M. I. Bogachev
Saint Petersburg Electrotechnical University "LETI"
Russian Federation

Ph.D. in Engineering (2006), associate professor (2011), the leading researcher (2014) of the Department of Radio  Equipment Systems of Saint Petersburg Electrotechnical  University "LETI". Author of more than 100 research  papers. Area of expertise: structural and dynamical analysis of complex systems with various physical origin; computer simulations of complex systems



References

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Review

For citations:


Duc V., Markelov O.A., Bogachev M.I. Aggregated Network Traffic Modeling based on Superstatistical Approach with Account of Long-Term Dependence and Non-Stationary Dynamics Effects. Journal of the Russian Universities. Radioelectronics. 2017;(5):47-53. (In Russ.)

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ISSN 1993-8985 (Print)
ISSN 2658-4794 (Online)