Asymptotic-diffusion analysis of an infinite-linear queuing system with negative calls and a recovery unit for distorted positive ones

In this paper, we consider an infinite-linear queuing system with positive and negative calls and a recovery unit for distorted positive ones. The main research method is the method of asymptotic diffusion analysis, which consists in constructing a diffusion approximation of the probability distribution of the number of calls in the recovery block. One-dimensional probability distributions of the number of calls in the service block and the number of calls in the recovery block are obtained. The simulation model of the queuing system functioning is built. The field of applicability of the obtained asymptotic results has been established.