In this paper we derive a convergence result fo rthe non-homogeneous Markov chain that arises in the study of networks employing the additive-increase multiplicative decrease (AIMD) algorithm. we then use this result to solve the network utility maximization (NUM) problem. Using AIMD, we show that the NUM problem is solvable in a very simple manner using only intermittent feedback, no inter-agent communication, and no common clock.
By: Fabian Wirth , Sonja Stuedli , Jia Yuan Yu, Martin Corless , Robert Shorten
Published in: RC25476 in 2014
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