K.P. Masjukov1, D.Yu. Konovalov2

1,2 Military Space Academy named after A.F. Mozhajskij (St. Petersburg, Russia)

The disadvantage of many mathematical models of reliability of avionics (RES) is the assumption that the probabilistic characteristics of the sample are unchanged throughout the entire period of its target application. The current agenda is therefore the development of new mathematical models of technical information processing systems and functionality (TIPSAF) RES, more adequate to the features of the systems as samples of military electronics equipment and the conditions for their targeted use.

The requirement of adaptability of mathematical models of TIPSAF RES is understood as the need to take into account such basic features of RES in the system model, as well as complexity (a large number of elements, multi-mode, etc.) and a significant difference between RES elements in the nature of degradation processes occurring in them, manifested in differences in their probability characteristics of failure. The mathematical model of TIPSAF RES should take into account the fact that on the one hand, the real properties of recoverability of RES can change during the target application under the influence of external factors, and on the other hand, the available information about recoverability of RES is always incomplete and inaccurate. Therefore, it is necessary that in the mathematical model of the system it is possible to enter additional (posteriori) information and recalculate the previously found optimal dates and volumes of technical impacts.

The purpose of the work is to form a reflective model of changing the state of RES with the features and at the same time difficulties of using a composition of distribution laws, which includes a priori and empirical (posteriori) components.

As a result, an approach is proposed, according to which parts of equipment covered by the influence of given preventive operations are distinguished as elements of the avionics model. The laws of distribution of operating time before failure of the allocated elements can be set by any functions corresponding to increasing (or increasing on average) functions of failure intensities. In the developed model, the empirical component, in turn, includes two components due to structural and parametric failures (structural and parametric components).

The practical significance of the work lies in the development of a mathematical model of the functional reliability of RES and the demonstration of information-significant reliability characteristics of RES.

Masjukov K.P., Konovalov D.U. Mathematical model of functional reliability of avionics, taking into account their predicted technical condition. Achievements of modern radioelectronics. 2022. V. 76. № 10. P. 29–38. DOI: https://doi.org/10.18127/j20700784-202210-03 [in Russian]

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