Research of demographic processes by methods of queuing theory

The paper considers an autonomous non-Markov queuing system with two types of applications, the research of which is performed by the method of asymptotic analysis of the stochastic density of the numbers of applications. Its asymptotic normality is shown. The main characteristics determining this distribution are found. Such a queuing system sufficiently and adequately simulates the process of changing the age structure of the population and can be used to analyze demographic situations.