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Mathematical Models for Assessing the Reliability of Agricultural Machinery, Taking into Account the Influence of Military Factors in the Front-line Territory

As the requirements for the quality of agricultural machinery and its working conditions increase, so do the demands on its maintainability, in particular its reliability. Failure for technical reasons or due to any external factors will result in the non-achievement of the goals set, and thus in a loss of performance. Today, as a rule, there is an insufficient level of reliability of agricultural equipment during operation, and this issue receives special attention in the territories that are located in the front-line zone in the east of Ukraine in the Donetsk and Luhansk regions. This is caused by both design solutions and imperfect models that are used during projecting. In addition, external factors that can significantly affect production activities are not taken into account. These include climatic conditions, natural disasters, personnel readiness, i.e. the human factor, as well as the factor of the consequences of an armed conflict. Therefore, the purpose of the article is to offer a mathematical model for assessing the reliability of agricultural machinery, taking into account the military factor in the front-line territory. The authors provide an analytical expression of the mathematical model for assessing the reliability of agricultural machinery, taking into account the influence of external military factors. This issue is gaining special attention in the front-line territories in eastern Ukraine, where a significant part of the acreage is also located. The proposed mathematical model, in contrast to the previous ones, will allow taking into account the wear and time-related deterioration of components of agricultural machinery, as well as external military factors (damage to equipment and personnel, damage due to collision with munitions, etc.). This mathematical model can be used to set the uptime requirements for agricultural machinery in a more reasonable manner and thereby increase its productive performance. During the research, methods of probability theory were used at the stage of determining the necessary probabilities of trouble-free operation of agricultural machinery, as well as methods of queuing theory, reliability theory of technical systems and mathematical modelling when determining the maintenance time of agricultural machinery samples for failure under various conditions of its application