On the statistical characterization of flows in Internet traffic with application to sampling

  • Authors:
  • Yousra Chabchoub;Christine Fricker;Fabrice Guillemin;Philippe Robert

  • Affiliations:
  • INRIA Rocquencourt, RAP Project, Domaine de Voluceau, 78153 Le Chesnay, France;INRIA Rocquencourt, RAP Project, Domaine de Voluceau, 78153 Le Chesnay, France;Orange Labs, F-22300 Lannion, France;INRIA Rocquencourt, RAP Project, Domaine de Voluceau, 78153 Le Chesnay, France

  • Venue:
  • Computer Communications
  • Year:
  • 2010

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Abstract

A new method of estimating some statistical characteristics of TCP flows in the Internet is developed in this paper. For this purpose, a new set of random variables (referred to as observables) is defined. When dealing with sampled traffic, these observables can easily be computed from sampled data. By adopting a convenient mouse/elephant dichotomy also dependent on traffic, it is shown how these variables give a reliable statistical representation of the number of packets transmitted by large flows during successive time intervals with an appropriate duration. A mathematical framework is developed to estimate the accuracy of the method. As an application, it is shown how one can estimate the number of large TCP flows when only sampled traffic is available. The algorithm proposed is tested against experimental data collected from different types of IP networks.