Local Poisson Property of Aggregated IP Traffic

Hiroki FURUYA  Hajime NAKAMURA  Shinichi NOMOTO  Tetsuya TAKINE  

Publication
IEICE TRANSACTIONS on Communications   Vol.E86-B   No.8   pp.2368-2376
Publication Date: 2003/08/01
Online ISSN: 
DOI: 
Print ISSN: 0916-8516
Type of Manuscript: PAPER
Category: Fundamental Theories
Keyword: 
IP traffic,  local Poisson property,  time scales,  queueing system,  finite buffer,  packet loss probability,  network design,  

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Summary: 
This paper studies the local Poisson property of aggregated IP traffic. First, it describes the scenario where IP traffic presents a Poisson-like characteristic within some limited range of time scales when packets from independent traffic streams are aggregated. Each of the independent traffic streams corresponds to a series of correlated IP packets such as those of a transport connection. Since the Poisson-like characteristic is observed only within some limited range of time scales, we call this characteristic the local Poisson property. The limited range of time scales of the local Poisson property can be estimated from a network configuration and characteristics of transport connections. Second, based on these observations, we seek the possibility to apply an ordinary Poisson process to evaluation of the packet loss probability in IP networks. The analytical investigation, where IP traffic is modeled by a superposition of independent branching Poisson processes that presents the local Poisson property, suggests that the packet loss probability can be estimated by a finite-buffer queue with a Poisson process when the buffer size is within a certain range. The investigation is verified by simulations. These findings expand the applicability of conventional Poisson-based approaches to IP network design issues.