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Probability and Statistics in Complex Systems: Genomics, Networks, and Financial Engineering, September 1, 2003 - June 30, 2004

Abstracts:

IMA Tutorial:

Measurement, Modeling and Analysis of the Internet

January 11, 2004

Paul Barford (Department of Computer Sciences, University of Wisconsin-Madison)  pb@cs.wisc.edu

Measurement, Modeling and Analysis of the Internet

There are many reasons for taking measurements in the Internet; from serving as a basis for scientific study to performing day to day operational management tasks. While taking measurements in the Internet can be as simple as running "pings" from a single desktop system, systematic large scale measurements are fraught with difficulty. In this tutorial we will describe the standard tools and techniques for taking measurements of a variety of Internet features and behaviors. We will also present the major infrastructures that have been deployed recently (and not so recently) for taking large scale measurements of the Internet. These infrastructures are principally used to gather data on Internet topology, routing, and traffic behavior. We will follow this with an overview of the standard techniques for organizing and analyzing Internet measurement data. We will conclude with a discussion of the many challenges facing researchers who wish to conduct Internet measurement studies or to use data gathered in Internet measurement infrastructures.

Vishal Misra (Department of Computer Science, Columbia University in the City of New York)  misra@cs.columbia.edu  http://www.cs.columbia.edu/~misra

Measurement, Modeling, and Analysis of the Internet: Part II

In this tutorial we will cover some of the important developments in the mathematical modeling and analysis of aspects of the Internet. We will be focusing on three areas (i) There has been a great deal of interest in the "self-similar," "fractal," or more appropriately long range dependent (LRD) nature of Internet traffic. We will introduce various models that have attempted to explain the LRD phenomena (ii) Measurements of the Internet topology have led to a number of modeling efforts to understand and explain the power law nature of the connectivity graph. We will look at some of the well known models (iii) TCP carries upwards of 90% of Internet traffic. Modeling TCP specifically, and congestion control on the Internet in general, has been a hot area of networking research in the past few years. We will outline the important and well known efforts in the area in the tutorial.

Probability and Statistics in Complex Systems: Genomics, Networks, and Financial Engineering, September 1, 2003 - June 30, 2004

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