The article discusses the mathematical model of technical condition-based maintenance of weapon systems. The model his developed based on a semi-Markov stochastic process. The diffusion-monotonic (DM) distribution law, which is specific for airfield technical condition-based maintenance of aircraft, is has been used as a failure model, and type I errors are considered. For standard operating conditions, graphs of the dependence of the coefficient of technical use and specific costs per hour of operation in good condition from the basic parameters are shown. The optimal maintenances interval ensuring maximum maintenance coefficient value has been proved. The principal results have been achieved by using multiple calculation method.

У статті запропоновано перспективну модель системи військової освіти України, яка забезпечує імплементацію стандартів освіти та підготовки держав-членів НАТО в національній системі військової освіти. Проведені дослідження далі змогу визначити переваги запропонованої моделі військової освіти України з точки зору забезпечення набуття оперативних спроможностей Збройних Сил України, успішного виконання ними поставлених завдань, визначення ключових ініціатив щодо подальшого реформування системи військової освіти.

The article considers a methodical approach to assessing the level of threat to the civilian population in the case of the use of small arms for shooting at unmanned aerial vehicles (UAVs). This approach is based on modeling the process of bullet flight in the vertical plane, based on the algorithm for determining the probability of accidental human impact, which allows, depending on the kinetic energy of the bullet, to calculate the probability of accidental death and probability of accidental injury. Based on the simulation, the indicators of the probability of human injuries depend on the angles of the shot, which allows to justify the restrictions when firing UAVs from small arms.

The methodological recommendations highlighted in the article will be useful for auditors who carry out audits of financial and economic activity in the system of the Ministry of Defense of Ukraine and other components of the security and defense sector. It is determined that the subject matter of the article is not sufficiently investigated, both from a practical and a theoretical point of view. The article presents a retrospective analysis of the activities of the second-level funds managers in the overall construction of funds managers in the system of the Ministry of Defense of Ukraine and the Armed Forces of Ukraine. The main directions of activity of second level managers are determined. The article analyzes the legislative and regulatory acts regulating the second level manager at both the state and departmental levels. The analysis carried out in the article made it possible to highlight a number of key functions of the financial authority of the second-level funds manager. The article outlines nine areas for conducting an audit, the need for a second-tier administrator in a financial institution and identifies specific areas of verification. Also, the article deals with issues that are to be investigated when assessing the activity of a financial institution of the manager of lower-level funds, which, in its functions, is the organ of provision for subordinate military units, institutions (hereinafter - the manager of lower-level funds), depending on its functions and tasks they are executed. Taking into account the practical experience, the methodical recommendations for conducting a check on the activity of the financial institution of the manager of the lower level funds are presented, and the questions, which according to the authors, are subject to compulsory study, are presented. The substantiated conclusions concerning the necessity of determining a number of other (additional) areas of verification are formulated depending on the peculiarities of functioning of the other financial institution of the second level administrator and the mandatory inclusion in the audits of the overall indicator of the state of financial and economic activity of military units, institutions and organizations, which are in financial security.