Mathematical Model of Technical Service Organization

A wide range of agricultural machinery in need of high-quality maintenance throughout the entire operational period to ensure uninterrupted and efficient operation is one of the most important links in the agro-industrial complex. (Research purpose) The research purpose is developing a mathematical model showing the relationship between the conduct of maintenance activities and the unit of equipment of the agricultural fleet; within the framework of the obtained mathematical model, deriving a criterion assessment of the quantitative conduct of maintenance. (Materials and methods) Indicated that such estimates can be obtained by applying mathematical modeling. A mathematical model was constructed using a visual diagram reflecting the relationship between the machines of the agricultural park, types of maintenance, elements of set theory and mathematical analysis. We used the theory of sets, which allowed us to move from the units of equipment of the fleet of agricultural machines to an analytical representation of realities and derive a constant that gives an assessment of maintenance depending on the number of activities carried out during the time interval under consideration. (Results and discussion) It was noted that it is necessary to improve the quality of maintenance by improving the control of its implementation in real conditions. The novelty of this work consists in the originality of the obtained scheme linking the types of maintenance and the machines of the agricultural fleet, without being tied to the number of units of equipment; in the development of a mathematical model that allows, using theoretical calculations, contributing to improving the control of maintenance activities by obtaining a universal constant that quantifies for any type of equipment and maintenance. The theoretical results were tested using the Kirovets-739 tractor as an example. (Conclusions) We obtained a schematic representation of the relationship between the components of the machine and tractor fleet and a numerical estimate reflecting the number of completed scheduled maintenance steps during the time period under study when using mathematical methods in the organization and conduct of maintenance.