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The subject matter of the article is the logistics support for the state defense forces. The goal of the study is the finding out a logistics support model that allows to obtain quantitative estimates of the required number of weapons ensured a given level of combat readiness and support the serviceability of troops, as well as optimal management of procurement, repair and modernization of weapons over time. The tasks to be solved are: to present the process of logistics support of the state defense forces group using the queuing model; to compile a state graph of a sample of weapons and military equipment; to compose a equations system describing the average number of weapons and military equipment samples in different states during their operation in the troops; by solving the differential equations system to obtain the dependences of the main logistics support system’s parameters in time. General scientific and special methods of scientific knowledge are used. The following results were obtained: The logistics support of the state defense forces group is presented as a queuing model, the parameters of which are determined by statistical data from the troops. Based on the obtained solution of the corresponding of differential equations system, an analysis of the logistics support system of the state defense forces group for a certain period of time can be made. The dynamic analysis of the logistics support system will form the basis of the recommendation for the implementation of promising guidelines of equipping state defense forces weapons and military equipment and optimizing the management of the system according to the certain criteria. Conclusions. A model of queuing is proposed to describe the logistics support process for the state defense forces group. In the model, the transitions of the sample of weapons from one state to another are carried out with intensities, μ or λ dependіs on the influence of the external environment and management. Within the framework of the proposed model, a differential equations system is obtained describes the average numbers of weapons samples in different states during their operation in the army. The obtained differential system solution corresponding the model is a quantitative estimate of the required number of weapons needed to ensure a given level of combat readiness and serviceability of state defense forces troops, as well as optimal management of procurement, repair and modernization of weapons over certain time.

THE DYNAMIC ANALYSIS OF THE STATE DEFENSE FORCES GROUP LOGISTICS SUPPORT SYSTEM USING OF THE QUEUING MODEL