## 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: | 596 - 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...