Mathematical models and the effectiveness of functioning of scalable distributed computer systems with group and full restorations

Abstract

The models of functioning of distributed computer systems with group and full restorations of failed machines are considered. The models are formalized in the form of a system of differential equations, in which are unknown probabilities of the states. To assess the effectiveness of CS functioning in we used the expectation and variance of the number of working and fault machines in the models. Analytical solutions are obtained.