Abstract
Mathematical modeling of the ecological state of the enterprise at technogenic pollution is stated. It is proved that the reduction of costs for eco-modernization of the mining and metallurgical complex leads to an increase in the cost of treatment of workers. The question arises about the creation of an ecological state of the enterprise, which corresponds to the optimal profit, taking into account the restrictions associated with fabricated pollution. To assess the cost of this, an indicator is used that determines the intensity of diseases of workers per unit time depending on the concentration of harmful substances. The problem is solved by minimizing the economic criterion, taking into account the limitations. A computational experiment on a mathematical model is implemented, which confirms the results of analytical calculations. The application of similarity theory reduces the number of variables from four to two, which simplifies the analysis of the results of a computational experiment. This allows top managers of mining and metallurgical enterprises to build a system for monitoring the territory and design the eco-modernization of enterprises by 2030.
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