Modeling RED with Idealized TCP Sources
Pirkko Kuusela, Pasi E. Lassila, Jorma T. Virtamo, Peter B. Key · 2001
We analyze the dynamic behavior of a single RED controlled queue interacting with a large population of idealized TCP sources, i.e., sources obeying the rules of linear increase and multiplicative decrease. The aggregate tra#c from this population is modeled in terms of the time dependent expected value of the packet arrival rate which reacts to the packet loss taking place in the queue. The queue is described in terms of the time dependent expected values of the instantaneous queue length and of the exponentially averaged queue length, for which we also derive a pair of di#erential equations. This provides us with a complete model for the dynamics of the system which we use to explore transient and equilibrium behavior. The accuracy of the model is verified by comparison with simulated results. Keywords: congestion control, Random Early Detection, TCP xx/1 9th IFIP CONFERENCE on PERFORMANCE MODELLING AND EVALUATION OF ATM & IP NETWORKS 2001, Budapest l(t) TCP source population RED...