У статті розглядаються причини та умови наявних проблем у процесі підготовки військових науково-педагогічних кадрів вищої кваліфікації, а також пріоритетні напрямки удосконалення процесу підготовки ад’юнктів.

An analysis of the content and features of works on the extension of the assigned service life is presented, a method for determining the average value of the residual resource is developed, and the necessary number of technical products and the duration of observations for the extension of the resource are estimated. The experience of the Joint Forces operation in the east of the country has revealed significant shortcomings in the reliability of armaments and military equipment during operation, which are primarily due to the fact that the condition of a significant number of samples of weapons in operation is close to the limit. Therefore, it is considered appropriate, based on the analysis of the content and features of work to extend the service life (resource) of samples of weapons and military equipment, to develop a methodology for determining the average value of residual resources and assess the required number of samples of weapons and duration of observations. For most models of armaments and military equipment involved in a joint force operation, this problem can be partially addressed by adjusting (extending) the assigned service life (resource). The accumulated experience of development and operation of armaments and military equipment shows that in some cases the duration of operation of armaments may exceed the normative terms specified in the technical documentation. Therefore, it is very important to have methods for calculating their residual resource for statistically significant support of the decision-making process in the implementation of their development plans. To achieve the result, work on extending the assigned service life (resource) of weapons samples is analyzed on the basis of data on their operation or using methods of accelerated consumption of resources and service life and determine the average value of their residual life based on operational tests. To solve this problem, an analysis of the content and features of work to extend the service life (resource), developed a method and content for determining the average value of the residual resource and estimated the required number of samples of weapons and the duration of their observations when extending the resource. The analysis of works on extension of the appointed service life (resource) of samples of armament and military equipment testifies to expediency of use of this tool of improvement of their reliability at operation. Further research should focus on the economic assessment of the size of the resource that is being extended, as solving the problem of improving the reliability of the operation of weapons models by extending the resource is associated with certain economic costs. And this, in the end, saves the much-needed resources. Keywords: technicalproduct, operation, servicelife, lifeextension.

This article proposes a game-based decision support model for determining the optimal time to start modernizing a weapon and military equipment (WMH) system. In the context of one-sided tracking games, where the military analyzes the pure strategy of the opponent, the authors consider a situation where the military has to determine the best time to start modernizing the weapons and military equipment. One of the key aspects of determining the optimal time to start modernization is to analyze the enemy's strategy. The article provides recommendations for choosing the moment to start analyzing the enemy's pure strategy in games with one-sided tracking. Within this game model, the military can consider different enemy strategies and their impact on the outcome of the conflict. In particular, decisions on modernization of weapons and their impact on combat performance are taken into account. The use of a decision support game model to determine when to start modernizing a WME system can be useful for military strategists and analysts involved in planning and managing military operations. It helps to understand how to take into account the actions of adversaries and maintain the competitiveness of military forces through timely and optimal modernization of weapons and military equipment. Taking into account game aspects and the use of mathematical models can improve strategic planning and decision-making in the context of modernization of weapons and military equipment. The application of a game model can help determine the optimal time to start modernization, which contributes to achieving strategic goals and ensuring military superiority. It can also help to use resources efficiently and reduce the risks associated with the obsolescence of military equipment. In the future, the game model can be further improved by adding new factors and refining mathematical algorithms. Keywords: model, modernization, weapons and military equipment system, strategy, game theory.

У статті розглядаються проблеми організації та проведення науково-дослідної практики ад’юнктів у теоретичному та методичному плані з метою їх удосконалення на основі наукового професіоналізму як невід’ємної частини наукової діяльності.

At present, in the field of view of domestic researchers are left without consideration of the complex indicators of the weapons system and military equipment, as well as the possibility of managerial influence on them. A complex system of armaments and military equipment has a significant number of interrelated properties and qualities, among which it is necessary to distinguish between simple and integral qualities. To describe the processes of development of the armament system and military equipment, which include not only quantitative changes in it, but also qualitatively new behavior, nonlinear mathematical models are used. Any system of armaments and military equipment inevitably receives excitement of various types. Such excitations can be either external influences, due to random or systematic changes in the environment, or internal fluctuations that occur in the system itself as a result of the interaction of elements. The study raises a range of issues of "quantitative integration" or quantitative study of dynamic weapons systems and military equipment, as well as the number and nature of the equilibrium of the dynamic weapons system and military equipment, the presence of bifurcation points (intersections of decisions). The article proposes a mathematical model of development of the weapons system and military equipment focused on the study of integrated indicators and properties of the system, built on the basis of a conceptual model of development and a model of the process of self-organization. The presented model takes into account not only quantitative changes in the given system, but also qualitatively new behavior of the system, dynamics of structural changes and entropy of the system; also in the given model attention is paid to processes of self-instruction of system. Keywords: armament and military equipment, development, model.