On a Queuing System with an Active Queue Management

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Abstract


We consider a data transfer system with an active queue management designed to prevent overloading, where fuzzy logic controller is used. We developed a mathematical model that takes into account the features of the data transfer system with an active queue management, which keeps the queue length in the range of values close to a given reference value of the queue length. The method of hysteretic control for incoming load with two thresholds was used as a basis of the model. The mathematical model is a queuing system with a threshold control, which is designed for the analysis of the possibility of hysteresis in modeling of systems with active queue management. The model was described by a Markov process, for which the numerical solution of the equilibrium equations was obtained, steady state probabilities were calculated. The main probabilistic measures are the following: the mean value and the standard deviation of a queue length, and the probability for the queue length of being within the specified limits from the reference value. The numerical analysis in the load range, which includes a system overload, indicated the adequacy of the constructed mathematical model with hysteretic control and system with an active queue management based on fuzzy logic controller.

Yu V Gaidamaka

Peoples’ Friendship University of Russia

Email: ygaidamaka@sci.pfu.edu.ru
Telecommunication Systems Department

A G Maslennikov

Representative office of Aastra Europe AG

Email: andrey.maslennikov@aastra.com

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Copyright (c) 2013 Гайдамака Ю.В., Масленников А.Г.

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