Network Modeling for the Internet

Formulation of Suite of Model



Leader Zhengyuan Zhu (University of North Carolina, Chapel Hill), zhuz@email.unc.edu
 Meeting Every Other Tuesday 2:00 - 3:00 pm, room 104
Members Jay Aikat (University of North Carolina, Chapel Hill), aikat@cs.unc.edu
Kevin Jeffay (University of North Carolina, Chapel Hill), jeffay@cs.unc.edu
Steve Marron (SAMSI/University of North Carolina, Chapel Hill), marron@email.unc.edu
Jonathan Mattingly (Duke University),  jonm@math.duke.edu
Krishanu Maulik (EURANDOM, The Netherlands), maulik@eurandom.tue.nl
Cheolwoo Park (SAMSI), cwpark@email.unc.edu
Juhyun Park (University of North Carolina, Chapel Hill), parkj@email.unc.edu
Surajit Ray (University of North Carolina, Chapel Hill), sray@bios.unc.edu
David Rolls (SAMSI), rollsd@uncw.edu
Haipeng Shen (University of North Carolina, Chapel Hill), haipeng@email.unc.edu
Outline Objectives Our goal is to develop useful statistical models for Internet traffic flow that are simple to analyze and simulate, and can capture the characteristics of actual traffic data that are important to electronics engineers and computer scientists. To achieve that goal, we will try to combine the top-down approach with the bottom-up approach. The class of statistical models we propose is based on the fact that Internet traffic is an aggregation of individual connections, each with a random starting time, random duration (from heavy-tail distribution) and a random throughput. We will use a bottom-up approach to model the starting time, duration, throughput and their dependence structure by analyzing the data derived from the actual traffic flow, and study the statistical property of the random process of aggregated packet counts thus obtained.
The working group will try to address the following problems:
1. Identify appropriate measures for evaluating how well a model fits the data (i.e., how to determin if model generated data is close to actual traffic data).
2. Find good models under those measures.
3. Develop methodology to estimate the parameters of the model as well as making statistical inference.
4. Simulate traffic flow efficiently under such model.
5. Other things group members want to address.
Computer scientists are particularly welcome to join our group!
References


Meetings

October 28, 2003: More Modelling and Better Models (by David Rolls)

November 11, 2003: Traffic Modeling from a Networking Perspective (by Kevin Jeffay)

December 9, 2003: Starting Time Analysis of Internet Flows (by Haipeng Shen)

                             http://www.unc.edu/~haipeng/clusterpoissonhttp.html

                             http://www.unc.edu/~haipeng/cpp/





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