Deterministic and stochastic convergence properties of AIMD algorithms with nonlinear back-off functions

DOI10.1016/j.automatica.2012.03.014zbMath1246.93041OpenAlexW2036390218MaRDI QIDQ445949

Martin Corless, Robert N. Shorten

Publication date: 27 August 2012

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.automatica.2012.03.014

zbMATH Keywords

iterated function systemscongestion controlTCPadditive-increase multiplicative-decrease (AIMD)products of stochastic matrices

Mathematics Subject Classification ID

Related Items (1)

A Perron-Frobenius type result for integer maps and applications

Cites Work

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• Modelling TCP congestion control dynamics in drop-tail environments
• Invariant measures for Markov processes arising from iterated function systems with place-dependent probabilities
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• Nonlinear AIMD Congestion Control and Contraction Mappings
• An ergodic theorem for iterated maps
• A Markovian analysis of additive-increase multiplicative-decrease algorithms
• Analysis of the increase and decrease algorithms for congestion avoidance in computer networks
• A Mathematical Model of the Skype VoIP Congestion Control Algorithm

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