Poisson Shot Noise Traffic Model and Approximation of Significant Functionals
Author
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-02-23
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Jedidi, Wissem. 2014. Poisson Shot Noise Traffic Model and Approximation of Significant Functionals. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-1013583
Modern Language Association (MLA)
Jedidi, Wissem. Poisson Shot Noise Traffic Model and Approximation of Significant Functionals. Abstract and Applied Analysis No. 2014 (2014), pp.1-9.
https://search.emarefa.net/detail/BIM-1013583
American Medical Association (AMA)
Jedidi, Wissem. Poisson Shot Noise Traffic Model and Approximation of Significant Functionals. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-1013583
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1013583