Informational network traffic model based on fractional calculus

Author

Zaborovsky, Vladimir ; Meylanov, Ruslan

Author_Institution

Tech. Univ. of Saint-Petersburg, Russia

Volume

1

fYear

2001

fDate

2001

Firstpage

58

Abstract

A model is proposed which treats network traffic as a stochastic process with an infinite mean delay. Such a model can be used to explain the appearance of long-range dependence and a fractal-like feature of network data flow. The heavy-tailed delay distributions, the hyperbolic decay of the packet delay auto-covariance function and fractional differential equations are shown to be formally related. The new interpretation of fractional calculus opens up a new area for using this well-developed mathematical tool to understand the local and global characteristics of the packet traffic behaviour

Keywords

covariance analysis; delay estimation; differential equations; fractals; information networks; packet switching; stochastic processes; telecommunication traffic; fractal-like data flow; fractional calculus; fractional differential equations; heavy-tailed delay distributions; hyperbolic decay; infinite mean delay; informational network traffic model; long-range dependence; packet delay auto-covariance; packet traffic behaviour; self-similarity; stochastic process; Delay effects; Differential equations; Diffusion processes; Electronic mail; Fractals; Fractional calculus; Propagation delay; Stochastic processes; Telecommunication traffic; Traffic control;

fLanguage

English

Publisher

ieee

Conference_Titel

Info-tech and Info-net, 2001. Proceedings. ICII 2001 - Beijing. 2001 International Conferences on

Conference_Location

Beijing

Print_ISBN

0-7803-7010-4

Type

conf

DOI

10.1109/ICII.2001.982720

Filename

982720