Stability Conditions For Scalable TCP-RED Based AQM

This paper investigates the stability of scalable transmission control protocol (TCP) with random early detection (RED) based active queue management (AQM). Dynamical modeling is used to analyze the stability of the closed loop system at the operating point in terms of the number of TCP connections. It is shown that period doubling bifurcations can occur by varying the system parameters. Two conditions for designing a stable Scalable TCP-RED system for a high capacity Gigabit network are also derived. Finally, Lyapunov Exponents are used to investigate the stability of a specific system.