Features of Analytical Modeling of QS with Hypererlang and Erlang Distributions

The article is devoted to the construction of a mathematical model for delaying claims in a queue in the form of a queuing system (QS) described by right-shifted hyper-Erlang and second-order Erlang distributions. This article is a logical continuation of the previous works of the author. In the article, the Erlang distribution is considered as a special case of the more general Gamma distribution law, in contrast to the normalized Erlang distribution. These two forms of the Erlang distribution differ in numerical characteristics, except for the coefficient of variation. To solve the problem, we used the method of spectral solution of the Lindley integral equation.