Modeling TCP and high speed TCP: A nonlinear extension to AIMD mechanisms

Abstract

We propose two modeling approaches of AIMD congestion control mechanisms. The first separates the increase and decrease parts where as the second describes the rate evolution as a continuous process governed by a differential equation. We relate the approaches and show that the second one is an averaged approximation of the first one. The objective of this paper is twofold: model a class of (stable) generalized TCP protocols as a nonlinear extension of AIMD mechanisms, and in particular to analyze stability of Floyd's Highspeed TCP. The class of models studied will be useful for control design and tuning. © Springer-Verlag Berlin Heidelberg 2004.