The mathematical description of machine maintenance taking into account working conditions in the field

The article as a hypothesis accepts an assumption that the complexity (productivity) and the quality of machines’ maintenance depend on the working conditions of the operator. It is accepted in such a way that labour input increases at their worsening and quality decreases. The increase of labour input and decline in quality is proportional to worsening of working conditions. On this basis, a mathematical description of the machines’ maintenance is found based on the field of working conditions of the operator. It is presented in two versions: the complexity, respectively, as a function of the direct and inverse integral factor of working conditions that is characterized by the state of the environment in the field. This integral coefficient of working conditions is expressed as the product of partial factors characterizing the state of the environment. The obtained results can be the basis for the development of a pilot study ’s technique and justification of machines’ maintenance efficiency in field conditions.