# A hysteretic model of queuing system with fuzzy logic active queue management

We consider a data transmitting 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. The proposed fuzzy logic method was implemented for Linux kernel and the test results show better quality of service parameters than other tested methods. © 2014 FRUCT.

Authors
Deart V.1 , Maslennikov A.1 , Gaidamaka Y. 2
Conference proceedings
Publisher
IEEE Computer Society
Language
English
Pages
32-38
Status
Published
Number
6872419
Year
2014
Organizations
• 1 Moscow Technical University of Communications and Informatics, Moscow, Russian Federation
• 2 Peoples Friendship University of Russia, Moscow, Russian Federation
Keywords
Controllers; Data transfer; Differential equations; Fuzzy logic; Hysteresis; Innovation; Markov processes; Mathematical models; Quality of service; Queueing theory; Active Queue Management; Equilibrium equation; Fuzzy logic controllers; Fuzzy logic method; Hysteretic control; Probabilistic measures; Quality of Service parameters; Steady state probabilities; Queueing networks
19.10.2018
Date of change
24.02.2021
https://repository.rudn.ru/en/records/article/record/4946/
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