This work is motivated by modelling of real information systems. Parallel and series reliability models or their combinations are usually used for these tasks. Common assumptions for such models are independent failures, exponentially distributed failures and recoveries. These assumptions...

Using the generalized Lorden inequality, new conditions for polynomial convergence were obtained for processes describing the operation of complex queuing networks with unreliable nodes and a random structure

This paper is a continuation of the previous author’s research on the ergodicity of some models for queuing networks. The set of random graphs and the sequence of matrices describing the changing network structure has been used instead of the fixed graph here. The main results about ergodicity...

The paper considers the problem of estimating the rate of convergence to the stationary distribution of complex queuing networks. The paper provides an overview of some well-known approaches to solving such problems: functional inequalities, inequalities for the spectral gap, сoupling method...

The procedure for studying the structure of real networks is described. The paper considers the capabilities of the Wolfram Mathematica package and the Python programming language, in particular, the netlib library, for collecting and analyzing information about real systems (for example,...