Mathematical models for accounting of processing program’s conflicts, caused by database records monopolization

Mathematical models for accounting of processing program’s conflicts, caused by database records monopolization, were considered with estimating probabilistic-temporal characteristics using multilevel hierarchical models with unreliable elements. On the basis of the catastrophe method, functional equations were obtained, which serve as the basis for obtaining the calculated ratios and implementing the methodology for estimating the probabilistic-temporal characteristics of information processing in computing systems of various purposes. On the basis of the proposed approach, a software package was implemented, which makes it possible to carry out a multivariate analysis of various computing system’s modes of operation.