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Randomized algorithms for stability and robustness analysis of high-speed communication networks.

Tansu Alpcan1, Tamer Başar, Roberto Tempo

  • 1Coordinated Science Laboratory, University of Illinois at Urbana-Champaign, Urbana, IL 61801, USA. alpcan@control.csl.uiuc.edu

IEEE Transactions on Neural Networks
|October 29, 2005
PubMed
Summary

This study develops randomized algorithms for high-speed network stability. It analyzes congestion control, providing exact stability conditions for symmetric cases and probabilistic estimates for complex networks.

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Area of Science:

  • Computer Science
  • Network Engineering
  • Algorithm Analysis

Background:

  • High-speed communication networks face stability challenges due to congestion and delays.
  • Utility-maximizing flow controllers are crucial for individual user satisfaction.
  • Existing models often lack robustness analysis for complex network dynamics.

Purpose of the Study:

  • To develop and apply randomized algorithms for analyzing the stability of high-speed communication networks.
  • To investigate congestion and delay-based flow controllers for utility-maximizing sources.
  • To provide a comprehensive stability analysis for various network configurations.

Main Methods:

  • Introduction of a nonlinear algorithm for source flow controllers using aggregate network feedback.

Related Experiment Videos

  • Linearization of the nonlinear model and robustness analysis for symmetric cases.
  • Development of randomized algorithms (Monte Carlo, quasi-Monte Carlo) for nonsymmetric network scenarios.
  • Main Results:

    • Derivation of closed-form conditions for stability and robustness in symmetric network cases.
    • Exact computation of parameter ranges guaranteeing network stability.
    • Probabilistic stability estimates for general nonsymmetric networks with random topologies.

    Conclusions:

    • The study provides a complete analysis of congestion control algorithms for internet-style networks.
    • Randomized algorithms offer effective solutions for stability analysis in complex, nonsymmetric network conditions.
    • The findings are applicable to networks with single bottleneck nodes and general random topologies.