A Diffusion Approximation model of Active Queue Management

Abstract: The article describes the diffusion approximation and the method of its use for evaluation of the effectiveness of active queue management (AQM) mechanisms. The presented model combines the approximation and simulation approaches. The diffusion is used to estimate queue distributions. The goal of the simulation part of the model is the evaluation of the AQM mechanism. Based on the obtained queue distributions, the simulation part of the model decides on package losses and influences the flow intensity of the transmitter. The performance of fractional order $PI^\alpha$ controller is compared to the performance of RED, a well known active queue management mechanism.