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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 method for determining the optimal frequency of maintenance of individual samples of aerodrome construction equipment, which is operated outside the established resource, is presented. The developed methodology takes into account the frequency and duration of maintenance, routine maintenance, the reliability of equipment control, the probability of receiving signals about a failure, and the duration of the complete restoration of the product. Also, the analytical dependence of the unit costs per hour of stay of a sample of aerodrome construction equipment in good condition on the scale factor and the shape of the diffusion-monotonic distribution law of random variables has been established, in turn, makes it possible to develop a methodology for assessing the technical and economic efficiency of the operation of aerodrome construction equipment.