The proposed modelling of the construction sector and its impact on the economic system of Ukraine based on fuzzy logic methods allowed to optimize the value of industry components due to changes in gross regional product. High adaptability of the used models confirms probability to make a choice of the best strategy of development of the state taking into account the construction potential in particular regions in Ukraine. The scientific value of the research lies in the use of dynamic models of the system to study the relationships of the elements of the micro and mezolevel subsystems. The forecast models reflect the value of the state regulatory policy in developing strategic priorities for economic growth.

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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.

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The article solves the problem of complex substantiation of reliability and maintainability requirements for mobility means of surface-to-air missile (SAM) systems considering hierarchical structure of mentioned systems and appropriate characteristics of their mobility means, minimum configuration of SAM system means for air defense operation and a number of tactical characteristics of operation area. The quantitative characteristics of effectiveness of SAM system mobility means are measured by the coefficient of effectiveness sustainment which is the ratio of initial effect considering reliability and maintainability of mobility means to its value in case of faultless mobility means. The developed mathematical models, which are proposed for further use as a program product, are designed for defining the limit values of such reliability measures as mean range between failures and mean recovery time of combat and technical facilities of SAM system corresponding to given values of coefficient of effectiveness sustainment.