A general fractal model of Internet traffic

Author

Molnár, Sándor ; Terdik, György

Author_Institution

Dept. of Telecommun. & Telematics, Budapest Univ. of Technol. & Econ., Hungary

fYear

2001

fDate

2001

Firstpage

492

Lastpage

499

Abstract

The fractal nature of Internet traffic has been observed by several measurements and statistical studies. A new monofractal stochastic process called Limit of the Integrated Superposition of Diffusion processes with Linear differential Generator (LISDLG) is presented, which effectively characterizes network traffic monofractality. Several properties of the LISDLG model are presented including the covariance structure, cumulants, spectrum and bispectrum. The model captures high-order statistics by means of the cumulants. The relevance and validation of the proposed model are demonstrated by application studies for measured Internet traffic

Keywords

Internet; covariance analysis; fractals; higher order statistics; performance evaluation; spectral analysis; stochastic processes; telecommunication traffic; LISDLG model; application studies; bispectrum; covariance structure; cumulants; diffusion processes; general fractal model; high-order statistics; limit of the integrated superposition; measured Internet traffic; monofractal stochastic process; monofractal traffic; spectrum; statistical studies; Fractals; High-speed networks; IP networks; Informatics; Internet; Laboratories; Statistics; Telecommunication traffic; Telematics; Traffic control;

fLanguage

English

Publisher

ieee

Conference_Titel

Local Computer Networks, 2001. Proceedings. LCN 2001. 26th Annual IEEE Conference on

Conference_Location

Tampa, FL

ISSN

0742-1303

Print_ISBN

0-7695-1321-2

Type

conf

DOI

10.1109/LCN.2001.990828

Filename

990828