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A mathematical model of the functional reliability of radio electronic means, taking into account their predicted technical condition

The requirement for the adaptability of mathematical models of systems for processing technical information and functionality (SOTIF) of radio electronic means (RES) should be understood as the need to take into account the main features of the RES in the system model, as well as the complexity (a large number of elements, multi-mode, etc.) and a significant difference in elements RES by the nature of the degradation processes occurring in them, manifested in the differences in their probabilistic characteristics of reliability. The mathematical model of SOTIF RES should take into account the fact that, on the one hand, the real properties of the reliability of the RES may change in the process of targeted use under the influence of external factors, and on the other hand, the available information on the reliability of the RES is always incomplete and inaccurate. Therefore, it is necessary that the mathematical model of the system provides for the possibility of entering additional (a posteriori) information and recalculating the previously found optimal terms and volumes of technical impacts. Goal of the work is to form a reflective model of the change in the state of the RES with the features and at the same time the difficulties of the need to use the composition of the distribution laws, including the a priori and empirical (a posteriori) components. An approach is proposed, according to which, as elements of the REM sample, parts of the equipment are distinguished, which are covered by the influence of given preventive operations. The distribution laws of the operating time to failure of the selected elements can be specified by any functions corresponding to increasing (or increasing on average) functions of the failure rates. In the developed model, the empirical component, in turn, includes two components due to structural and parametric failures (structural and parametric components). A mathematical model of the functional reliability of the RES has been developed and the information-significant characteristics of the reliability of the RES have been demonstrated.