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To: Michael Dillon <michael@memra.com> Cc: nanog@merit.edu In-reply-to: Your message of Wed, 09 Oct 1996 17:49:59 PDT. Date: Wed, 09 Oct 1996 19:24:19 PDT From: Vern Paxson <vern@ee.lbl.gov> > Given that real world systems that exhibit fractal behaviors can now often > be modelled mathematically, do you know of anyone who has attempted to > apply such fractal models to Internet traffic? There have been several studies presenting strong evidence that Internet traffic in general, and also that of some individual protocols (of particular interest: HTTP), have a fractal structure. This is still a major research area, though. One of the important unanswered questions is whether the fractal structure is a good model for behavior on short time scales (10-100 msec). Best guess (IMHO :-) is that it isn't. So there's a major question of how to put together a model that deals with both the short-term and long-term dynamics, along with major questions as to what's the *right* fractal model. Unfortunately, the math gets hairy fast, and the Internet is tremendously diverse. > When designing protocols > do researchers take this fractal nature into account? This also is a research frontier. Some work's been done though. One study that comes to mind is that by Sugih Jamin of USC (now at U Michigan) and colleagues, on the impact of fractal traffic on admission control schemes. I don't know of any protocols being designed with fractal traffic in mind. I'm right now in the middle of analyzing a bunch of end-to-end data to try to build up some sort of model of congestion time scales. One thing I'll be looking for is a link between the measurements and fractal models. I'm hoping to present some results at the first 1997 NANOG. Vern
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