Analysis of the Influence of Self-Similar Traffic on Efficiency Multiple Access Protocols

Introduction. Traffic in modern telecommunication radio networks is self-similar, therefore, the use of methods for calculating the parameters of Carrier Sense Multiple Access (CSMA) protocols adopted in the classical theory of teletraffic, based on Poisson distribution models, leads to an underestimation of the load and stability of these protocols. Purpose. Build a mathematical model for the operation of synchronous CSMA protocols with flexible and rigid strategies in conditions of self-shaped traffic. Obtain average transmission rate equations and their comparative analysis of the results of studies of the same protocols for traffic with the Poisson distribution. Methods. The goal is achieved by creating and analyzing a mathematical model for the operation of synchronous CSMA protocols with flexible and rigid strategies under conditions of Pareto-distributing traffic. The model is described by the equations of the average protocol transfer rate, which are a function of traffic intensity and Pareto distribution parameters. Results. It has been proven that self-similar traffic has a significant impact on the stability limit of CSMA protocols and their throughput, which must be taken into account when using these protocols in radio networks with long-term dependence on traffic distribution. At the same time, there is a slight decrease in the maximum average transmission rate of CSMA protocols compared to the traffic model with the Poisson distribution. Conclusions. The proposed mathematical model of CSMA protocols with flexible and rigid strategies makes it possible to calculate the real values of the average speed, stability limit, and throughput of these protocols under conditions of self-similar traffic.