The issue was studied concerning the optimization of the operating mode of a mining enterprise for improving the safety of miners by mathematical programming of the underground mining production processes. An increased hazard of the mineral deposits underground mining is noted as a compromise between the state of the developed space and the cost of maintaining it with alternative mining options. The use of hardening mixtures based on ore tailings after the extraction of metals from them becomes a condition for the safety of underground mining of powerful deposits, for example, stockwork type.
The results are presented related to the analytical study of the dependence of ore mining costs on the compared options for managing the state of the mined space. The study was carried out by finding the optimal points for the objective functions and choosing the values of independent factors.
A mathematical model was developed for analyzing the elements of the production process using the Maple software package. It provides an opportunity to consider the differences between alternative mining technologies and compare their cost-efficiency with consideration to costs of ensuring the safety of workers. For independent variables, a mathematical model was developed that allows only significant variable factors to be left. It is proved that within the framework of a numerical experiment using actual data it is possible to develop a mathematical model that takes into account the influence of independent factors. The prospects are outlined concerning the use of the modeling method to substantiate technologies at these stages of design and operation, as well as to assess the economic efficiency and occupational safety in the underground mining of ore deposits. At the same time, the maximum extraction of a useful component from the subsoil should be ensured at all stages of the reserve development.
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