The purpose of the study, the results of which are presented in the article, is to develop a mathematical model of the process of restoring weapons and military equipment (IWT), taking into account their losses due to combat and operational and technical reasons, as well as the production capabilities of repair and restoration bodies (RVOS) of the first and second levels. For the operational solution of the recovery system planning and managing tasks, it is necessary to have models that allow approximate assessment of the system effectiveness at various levels of management. The hypothesis of the study is to increase the efficiency of restoring weapons and military equipment using the forces and means of military repair bodies, field repair brigades (VRB) in the conditions of the operation, as well as the production capacities of enterprises of the local industrial economic base. As criteria for effectiveness evaluation, the indicators characterizing the combat capabilities of military formations for a certain period of military planning in peacetime and wartime are considered. Research methods are mathematical apparatus of the theory of queuing systems and differential equations of 'dynamics of averages', system analysis, comparative analysis, generalization, forecasting, and document analysis. The resulting model establishes a relationship between the input parameters and the output indicators of the recovery system, characterizing the serviceability of the IWT. In this case, the control parameter is a parameter that characterizes the ratio of the number of samples of military equipment repaired in the 1st-level RVR. Results: the developed model can be used for: analyzing the technical support system of troops; solving optimization problems of managing the technical support of troops: finding the optimal ratio of the number of samples of military equipment repaired by the first and second level RVOS; determining the optimal number of field crews for repairing military equipment while ensuring a given level of serviceability of military equipment and minimizing the cost of repairing military equipment.
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