The article is dedicated to the optimization problem of the regulated maintenance periodicity for military products operated according to their technical condition. The analytical method of optimization for the exponential law of the time distribution between failures and the numerical optimization method for the diffusion-monotonic law are taken into consideration. The search for the extreme value of the regulated maintenance periodicity for the diffusion-monotonic distribution law was conducted with the use of the numerical method applying Mathcad 15.0. The dependencies of both the technical utilization factor and its derivative on the regulated maintenance periodicity at certain values of the model parameters were obtained.
For military equipment products maintained according to the condition-based operation strategy with control of parameters a mathematical model is constructed using semi-Markov random process. The diffusion-monotonic distribution law which is inherent in mechanical type products is taken for the fault model. The model takes into account type I errors. The analytical dependence of the utilization factor on the parameters of the scale and shape of the diffusion-monotonic distribution, the of regulated maintenance periodicity, the duration of complete restoration of a sample of equipment, the reliability of its control, is established. Graphs of the dependence of the utilization factor on the given parameters of the model are shown.
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.
The article considers the mathematical model of maintenance of samples of armaments and military equipment according to the state with parameter control, for which the distribution of time of trouble-free operation of weapons in the form of Weibul's law is used as a model of failures. Probable physical distributions have a certain advantage over simply probable distributions, because their parameters can be determined on the basis of both statistical characteristics of failures and analysis of failures of the physical process. In addition, diffusion distribution laws, such as diffusion-monotone and diffusion-nonmonotonic distributions, are now the most relevant. These facts have significant practical value, which determines the relevance of the research. Also, the article considers the dependences of the coefficient of technical use of the object on different characteristics of the service system and the object itself are determined. For the mathematical description of the processes inherent in the maintenance system, the apparatus of semi-Markov random processes in the classical representation is used. Weibul's distribution law is one of the least used due to its complexity. The main results of the work are obtained by numerical method. The dependences obtained as a result of the calculations show the existence of the optimal period of preventive maintenance of the object of control, in which the maximum value of its coefficient of technical use is achieved. The result of the work allows to establish the quantitative dependence of the coefficient of technical use on the reliability of control means, scale and form in the form of Weibul's distribution law in a wide range of periodicity of preventive maintenance.
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