Local diffusion appoximation of queing system current condition process

As mathematical model to network of casual access, operated steady-state protocol with the notification of the conflict isconsidered one-service queueing system with the recurrent calling source (RCS). The modified asymptotical method is used foranalysis of changing a number of demands in RCS. One has received differential equation, defining function of asymptotic averagenormalizing process of system condition changing. It was shown that this equation has rest dieresis, one of which is stable, but other- unstable decision at definite values of loading. Diffusion process of autoregression, approximating asymptotic deflection of modelconditions from average was found. It was installed that this process is stationary in stable rest spot vicinity.

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