Stochastic Equilibria of AIMD Communication Networks

DOI10.1137/040620953zbMath1120.15020OpenAlexW2039090571MaRDI QIDQ5296011

Rade Stanojević, Douglas J. Leith, Fabian R. Wirth, Robert N. Shorten

Publication date: 31 July 2007

Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)

Full work available at URL: http://eprints.maynoothuniversity.ie/1791/1/HamiltonSIMAX_july28.pdf

zbMATH Keywords

law of large numberscommunication networksrandom matrixpositive matricesAIMD congestion controlinfinite products of positive matricesMarkov e-chain

Mathematics Subject Classification ID

Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Random matrices (algebraic aspects) (15B52) Network protocols (68M12) Communication theory (94A05)

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