On the Self-Similar Nature of Ethernet Traffic (Extended Version) (1993)
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@MISC{Leland93onthe,
author = {Will E. Leland and Murad S. Taqqu and Walter Willinger and Daniel V. Wilson},
title = {On the Self-Similar Nature of Ethernet Traffic (Extended Version)},
year = {1993}
}
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Abstract
We demonstrate that Ethernet local area network (LAN) traffic is statistically self-similar, that none of the commonly used traffic models is able to capture this fractal behavior, that such behavior has serious implications for the design, control, and analysis of high-speed, cell-based (B-ISDN) networks, and that aggregating streams of such traffic typically intensifies the selfsimilarity ("burstiness") instead of smoothing it. Intuitively, the critical characteristic of this self-similar traffic is that there is no natural length of a "burst": at every time scale ranging from a few milliseconds to minutes and hours, similar-looking traffic bursts are evident. Our conclusions are supported by a rigorous statistical analysis of hundreds of millions of high quality Ethernet traffic measurements collected between 1989 and 1992, coupled with a discussion of the underlying mathematical and statistical properties of self-similarity and their relationship with actual network behavior. We al...
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