Abstract
We present an improved dynamic system that simulates the behavior of TCP flows and active queue management (AQM) system. This system can be modeled by a set of stochastic differential equations driven by a doubly stochastic point process with intensities being the controls. The feedback laws proposed monitor the status of buffers and multiplexor of the router, detect incipient congestion by sending warning signals to the sources. The simulation results show that the optimal feedback control law from the class of linear as well as quadratic polynomials can improve the system performance significantly in terms of maximizing the link utilization, minimizing congestion, packet losses, as well as global synchronization. The optimization process used is based on random recursive search technique known as RRS.
Highlights
Since random early detection (RED) was presented by Sally Floyd and Van Jacobson in 1993 as a congestion avoidance mechanism in packet-switched networks [1], some variants of RED have been designed to deal with the setting of various parameters characterizing it [2]
We present an improved dynamic system that simulates the behavior of TCP flows and active queue management (AQM) system
A variant of RED model presented in this paper formally defines the interactions between TCP connections and the AQM system in the computer network
Summary
Since random early detection (RED) was presented by Sally Floyd and Van Jacobson in 1993 as a congestion avoidance mechanism in packet-switched networks [1], some variants of RED have been designed to deal with the setting of various parameters characterizing it [2]. We propose an improved model aimed at solving the problem of global synchronization that results from many of the connections reducing their window sizes at the same time. This we do without compromising any of the advantages of the system proposed in [3]. For analysis of the active queue management system, we still use doubly stochastic Poisson-driven stochastic differential equations This models the dynamic behavior of TCP flows and queues of router in which the drop rate (intensity) for each of the connections is a function of both the average queue size of the multiplexer and the average queue size of the individual buffer dedicated to the connection. Through simulation (experimental) results, we show that the modified system is capable of effectively controlling congestion and synchronization and more robust than the earlier versions
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