Conference publications

The TCP-traffic and RED-Like Node Interaction model based on Stochastic Differential Equations. Self-Oscillation Area for RED, ARED, RARED, POWARED algorithms

Korolkova A.V., Tchernoivanov A.I.

"Математика. Компьютер. Образование". Cб. трудов XVII международной конференции. Под общей редакцией Г.Ю. Ризниченко Ижевск: Научно-издательский центр "Регулярная и хаотическая динамика", 2010 (in press). (accepted)

This article describes model the interactions of TCP-Reno traffic with a node operating under one of Random Early Detection (RED) algorithms. The stochastic differential equations are used for suggested analytic model. For the model discussed in the article a new method for self-oscillation area evalution and critical (stationary) point selection is introduced. The numerical results for RED, ARED, RARED and POWARED algorithms are presented.