Temporal correlations of local network losses

A. S. Stepanenko, C. C. Constantinou, I. V. Yurkevich, and I. V. Lerner
Phys. Rev. E 77, 046115 – Published 22 April 2008

Abstract

We introduce a continuum model describing data losses in a single node of a packet-switched network (like the Internet) which preserves the discrete nature of the data loss process. By construction, the model has critical behavior with a sharp transition from exponentially small to finite losses with increasing data arrival rate. We show that such a model exhibits strong fluctuations in the loss rate at the critical point and non-Markovian power-law correlations in time, in spite of the Markovian character of the data arrival process. The continuum model allows for rather general incoming data packet distributions and can be naturally generalized to consider the buffer server idleness statistics.

  • Received 28 November 2007

DOI:https://doi.org/10.1103/PhysRevE.77.046115

©2008 American Physical Society

Authors & Affiliations

A. S. Stepanenko1, C. C. Constantinou1, I. V. Yurkevich2, and I. V. Lerner2

  • 1School of Engineering, University of Birmingham, Edgbaston, Birmingham, B15 2TT, United Kingdom
  • 2School of Physics and Astronomy, University of Birmingham, Edgbaston, Birmingham, B15 2TT, United Kingdom

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Issue

Vol. 77, Iss. 4 — April 2008

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