Local Poisson Property of Aggregated IP Traffic

Hiroki FURUYA; Hajime NAKAMURA; Shinichi NOMOTO; Tetsuya TAKINE

Local Poisson Property of Aggregated IP Traffic

Hiroki FURUYA, Hajime NAKAMURA, Shinichi NOMOTO, Tetsuya TAKINE

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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.

Publication: IEICE TRANSACTIONS on Communications Vol.E86-B No.8 pp.2368-2376

Publication Date: 2003/08/01

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Type of Manuscript: PAPER

Category: Fundamental Theories

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Hiroki FURUYA, Hajime NAKAMURA, Shinichi NOMOTO, Tetsuya TAKINE, "Local Poisson Property of Aggregated IP Traffic" in IEICE TRANSACTIONS on Communications, vol. E86-B, no. 8, pp. 2368-2376, August 2003, doi: .
Abstract: 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.
URL: https://global.ieice.org/en_transactions/communications/10.1587/e86-b_8_2368/_p

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@ARTICLE{e86-b_8_2368,
author={Hiroki FURUYA, Hajime NAKAMURA, Shinichi NOMOTO, Tetsuya TAKINE, },
journal={IEICE TRANSACTIONS on Communications},
title={Local Poisson Property of Aggregated IP Traffic},
year={2003},
volume={E86-B},
number={8},
pages={2368-2376},
abstract={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.},
keywords={},
doi={},
ISSN={},
month={August},}

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TY - JOUR
TI - Local Poisson Property of Aggregated IP Traffic
T2 - IEICE TRANSACTIONS on Communications
SP - 2368
EP - 2376
AU - Hiroki FURUYA
AU - Hajime NAKAMURA
AU - Shinichi NOMOTO
AU - Tetsuya TAKINE
PY - 2003
DO -
JO - IEICE TRANSACTIONS on Communications
SN -
VL - E86-B
IS - 8
JA - IEICE TRANSACTIONS on Communications
Y1 - August 2003
AB - 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.
ER -