Dynamics of a Discrete Internet Congestion Control Model

Dynamics of a Discrete Internet Congestion Control Model

We consider a discrete Internet model with a single link accessed by a single source, which responds to congestion signals from the network. Firstly, the stability of the equilibria of the system is investigated by analyzing the characteristic equation. By choosing the time delay as a bifurcation parameter, we prove that Neimark-Sacker bifurcations occur when the delay passes a sequence of crit...

Dynamics of a discrete-time plant-herbivore model

A Theoretical Study of Internet Congestion Control: Equilibrium and Dynamics

In the last several years, significant progress has been made in modelling the Internet congestion control using theories from convex optimization and feedback control. In this dissertation, the equilibrium and dynamics of various congestion control schemes are rigorously studied using these mathematical frameworks. First, we study the dynamics of TCP/AQM systems. We demonstrate that the dynami...

Internet Congestion Control

This article reviews the current transmission control protocol (TCP) congestion control protocols and overviews recent advances that have brought analytical tools to this problem. We describe an optimization-based framework that provides an interpretation of various flow control mechanisms, in particular, the utility being optimized by the protocol’s equilibrium structure. We also look at the d...

A Discrete-event Systems Model for Congestion Control

This paper presents a discrete-event systems approach to the modeling of a packet-switched communication link shared by multiple users for the purpose of end-to-end congestion control. It introduces a discrete-event system model for the interaction between a shared communication link and the users, which captures the behavior that the link users receive acknowledgments for successfully transmit...