The article examines a complex technical system on the example of air supply of coal mines, characterized by: multicomponent, a large number of quantitative and qualitative parameters, nonlinearity of interdependencies between them; incompleteness of information, the complexity of experimental research, the risks of dangerous situations and the catastrophic nature of their consequences; the uniqueness of the modes and conditions of the systems functioning. The aim of the work is to develop a methodology for assessing and analyzing the aerodynamic parameters of air flows for the effective selection of air supply schemes in coal mines using the decomposition method. Research methodology: the solution of the set tasks is based on modern methods of mathematical statistics; graph theory; decision theory; apparatus of mathematical logic; factor analysis; mathematical modeling; set theory; reliability theory and systems analysis. Research results. A method for the analysis and analytical modeling of complex technical systems of variable structure (CTS VS) is developed, focused on the features of these systems and their processes in conditions of incomplete information, different quality data on their state and functioning, which differs from the known ones by a combination of the capabilities of analytical and statistical approaches to the construction of CTS VS models, which allows to adapt to changes in systemic and external factors, improve the accuracy of modeling, and also typify the presentation of fuzzy situational features for effective management of the CTS VS. Conclusion. A method has been developed for assessing the reliability of the parameters of the CTS VS based on the algorithms for analyzing and assessing the reliability of the CTS VS, the algorithm for the formation of the most complete subsets listing in the graph all possible compatible subsets of a given set of vertices differing in that they are based on the analysis of enlarged states and decomposition of the structural diagram, which allows analytical and statistical studies to significantly increase the accuracy of assessing the reliability of CTS VS and reduce the amount of calculations. Result: the proposed methods were used to solve the problems of air distribution control in coal mines.
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