Approximation of the birth process

Abstract

In this article, queuing systems with an unlimited number of devices with an incoming nonstationary Poisson flow and a random flow controlled by a Markov chain are investigated. The inexpediency of approximation of the birth process by Poisson flows in long-term forecasting is shown. Research of a Markov autonomous queuing systemSince the process i (t) is a Markov chain then for its probability distribution P (i, t) = P {i(t) = i}