Open Access
2014 Poisson Shot Noise Traffic Model and Approximation of Significant Functionals
Wissem Jedidi
Abstr. Appl. Anal. 2014(SI49): 1-9 (2014). DOI: 10.1155/2014/261568


In Internet traffic modeling, many authors presented models based on particular fractal shot noise representations. The inconvenience of these approaches is the multitude of assumptions and the lack of tools to check them. In this paper we propose a unified model based on a general Poisson shot noise representation for the cumulative input process (CIP). We present a procedure of approximation of this process; then we give a procedure for controlling the bandwidth of Internet providers. The approximation and control go via limit theorems for functionals of the CIP, namely, the supremum process, the right inverse, and the storage mapping.


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Wissem Jedidi. "Poisson Shot Noise Traffic Model and Approximation of Significant Functionals." Abstr. Appl. Anal. 2014 (SI49) 1 - 9, 2014.


Published: 2014
First available in Project Euclid: 27 February 2015

zbMATH: 07022034
MathSciNet: MR3176730
Digital Object Identifier: 10.1155/2014/261568

Rights: Copyright © 2014 Hindawi

Vol.2014 • No. SI49 • 2014
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