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Self-Similarity Through High-Variability: Statistical Analysis of Ethernet LAN Traffic at the Source Level (1997)
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| Venue: | IEEE/ACM TRANSACTIONS ON NETWORKING |
| Citations: | 742 - 24 self |
BibTeX
@ARTICLE{Willinger97self-similaritythrough,
author = {Walter Willinger and Murad S. Taqqu and Robert Sherman and Daniel V. Wilson},
title = {Self-Similarity Through High-Variability: Statistical Analysis of Ethernet LAN Traffic at the Source Level},
journal = {IEEE/ACM TRANSACTIONS ON NETWORKING},
year = {1997},
volume = {5},
number = {1},
pages = {71--86}
}
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Abstract
A number of recent empirical studies of traffic measurements from a variety of working packet networks have convincingly demonstrated that actual network traffic is self-similar or long-range dependent in nature (i.e., bursty over a wide range of time scales) -- in sharp contrast to commonly made traffic modeling assumptions. In this paper, we provide a plausible physical explanation for the occurrence of self-similarity in LAN traffic. Our explanation is based on new convergence results for processes that exhibit high variability (i.e., infinite variance) and is supported by detailed statistical analyses of real-time traffic measurements from Ethernet LAN's at the level of individual sources. This paper is an extended version of [53] and differs from it in significant ways. In particular, we develop here the mathematical results concerning the superposition of strictly alternating ON/OFF sources. Our key mathematical result states that the superposition of many ON/OFF sources (also k...
Keyphrases
statistical analysis source level ethernet lan traffic extended version infinite variance many source mathematical result high variability recent empirical study individual source long-range dependent real-time traffic measurement key mathematical result state plausible physical explanation sharp contrast time scale new convergence result detailed statistical analysis actual network traffic ethernet lan lan traffic traffic measurement significant way packet network wide range
