MATHEMATICAL MODEL OF STORAGE OF AVIATION WEAPONS USING DIFFUSION-NONMONOTONIC DISTRIBUTION OF THEIR FAILURES

Abstract

The modern stage of the functioning of the Armed Forces of Ukraine, like many other countries of the world, is characterized by the presence of a significant number of aviation means of attack in their armament and military equipment, the resource indicators of which have been exhausted or are at the stage of completion. At the same time, the vast majority of them were developed and manufactured in the Soviet Union, after the collapse of which their developers and manufacturers were abroad, mainly in the Russian Federation. As a result, copyright supervision on the territory of Ukraine ceased to be carried out at the end of 1991, and the system of ensuring serviceability actually ceased to exist. This led to the fact that aviation means of destruction gradually exhausted not only the warranty, but also the designated resource indicators (service terms, storage terms), as a result of which their further operation should be stopped, first of all, for safety reasons. At the same time, after the large-scale aggression of the Russian Federation, Ukraine received military and technical assistance from foreign partner countries, including aviation weapons, which must be stored, maintained and restored in case of malfunction. Thus, the current situation requires a well-founded decision to provide the Armed Forces of Ukraine with serviceable aviation means of attack. At the same time, the issue of maintaining the serviceability of aviation means of destruction and their restoration comes to the fore. The article describes a mathematical model of the process of operation (storage) of aviation weapons containing an electromechanical basis, with the application of the diffusion-nonmonotonic law of distribution at the "use" and "maintenance" stages of the life cycle. At the same time, to describe the processes taking place in the mathematical model, a semi-Markov random process is used, and the coefficient of technical use is chosen as a criterion for the efficiency of the technical operation of aviation weapons. The dependence of the coefficient of technical use on the scale and form of the diffusion-nonmonotonic distribution law, the periodicity of technical maintenance, the reliability of control, and the duration of the restoration of the failed product was established.