Мodelling loss of workers 'disability on technogenonally dangerous enterprises

Кhorolskyi, Valentin and Хорольський, Валентин Петрович and Serebrennikov, Vadim and Серебреников, Вадим Михайлович and Kvitka, Tetyana and Квітка, Тетяна Володимирівна and Квитка, Татьяна Владимировна (2019) Мodelling loss of workers 'disability on technogenonally dangerous enterprises. Вісник Хмельницького національного університету (6). pp. 211-215. ISSN 2307-5740

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Abstract

Mining in large enough territories leads to a sharp deterioration of the environment. One of the consequences of such activity is the emergence of areas with man-made pollution, which has an impact on the working condition of workers. Therefore, the problem of loss of working capacity of workers of enterprises that are polluters of territories and its modeling is urgent. The article deals with mathematical modeling of the disability of workers at technogenically dangerous enterprises. The purpose of mathematical modeling is to look for ways to evaluate the impact of technogenic pressure on the health of workers with the possibility of subsequently reducing such effects. The application of the method of "average dynamics", which is based on the study of continuous Markov processes in the form of systems of differential equations, makes it possible to build a dynamic mathematical model of the disability of workers in technogenically dangerous enterprises. The authors propose a mathematical model of the disability of workers in technogenically dangerous enterprises in the form of the solution of differential equations for the average numbers of states. According to the obtained model, a graphical analysis of the number of disabled workers at the enterprise was carried out. It is proposed to use a functional characterizing the quality of replacement of workers who lost their ability to work due to technogenic pressure to able-bodied workers introduced from the outside. Formulas of the optimum value of the intensity of replenishment from outside able-bodied workers were obtained. Graphically analyzed the average number of able-bodied workers taken outside for a certain period of time per worker at the initial time. Analytical formulas have been obtained that allow to estimate the average number of workers who have lost their working capacity due to man-made reasons and the nature of the change of this number depending on time.

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