Stability and Convergence of TCP-like Congestion Controllers in a Many-Flows Regime

— With the rapid growth of Internet, parameter design and analysis for large-scale networks has become a topic of active interest. Since simulation of such large scale systems is not easy, deterministic fluid models have been widely used for both qualitative understanding of the behavior, as well as parameter design for such networks. In this paper, we first study a deterministic fluid model for Internet congestion control when there are multiple TCP-like flows present. We provide conditions under which such a system is globally asymptotically stable in the presence of feedback delay. We then study the corresponding system with the addition of web mice and other non-responsive flows modeled as stochastic disturbances. We show that, when there are a large number of flows, choosing parameters based on the global stability criterion for the deterministic system (with the noise replaced by its mean value) ensures global stability for the stochastic system as well. Numerical example...

• Type: Conference
• Year: 2003
• Where: INFOCOM
• Authors: Supratim Deb, Sanjay Shakkottai, R. Srikant
• Keywords: Communications, Deterministic fluid Model, INFOCOM 2003, Multiple Tcp-like flows, Parameter Design