Mathematical Model of the Dynamic Behavior of RED-Like System Parameters

A V Korolkova; Королькова Анна Владиславовна; D S Kulyabov; Кулябов Дмитрий Сергеевич

Mathematical Model of the Dynamic Behavior of RED-Like System Parameters

Authors: Korolkova AV¹, Kulyabov DS¹
Affiliations:
1. Peoples Friendship University of Russia
Issue: No 2.1 (2010)
Pages: 54-64
Section: Articles
URL: https://journals.rudn.ru/miph/article/view/8628

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Abstract

In this paper a mathematical model of an autonomous system of three ordinary diﬀerential equations depending on parameters algorithm for active queue management such as Random Early Detection (RED) is constructed. The method for self-oscillation area evalution and critical (stationary) point selection is introduced. The patametric and phase portraits for systems with algorithms RED, GRED, DSRED and ARED are analyzed.

Keywords

Random Early Detection (RED), phase portrait, parametric portrait, bifurcation, self-oscillation, location of stability, stochastic diﬀerential equation, system ordinary diﬀerential

About the authors

A V Korolkova

Peoples Friendship University of Russia

Email: akorolkova@sci.pfu.edu.ru
Кафедра систем телекоммуникаций; Российский университет дружбы народов; Peoples Friendship University of Russia

D S Kulyabov

Peoples Friendship University of Russia

Email: dharma@mx.pfu.edu.ru
Кафедра систем телекоммуникаций; Российский университет дружбы народов; Peoples Friendship University of Russia

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Vol 32, No 4 (2024)

Mathematical Model of the Dynamic Behavior of RED-Like System Parameters

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Abstract

Keywords

About the authors

A V Korolkova

D S Kulyabov

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