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MATHEMATICAL MODELING AND OPTIMIZATION OF TECHNOLOGICAL PROCESSES IN THE MINING INDUSTRY

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Abstract

This article examines the role of mathematical modeling and optimization in improving technological processes in the gold-mining industry. The study focuses on the application of analytical, computational, and algorithmic methods for increasing the efficiency, stability, and economic feasibility of mining operations. In modern mining practice, production quality depends not only on the technical capacity of equipment, but also on the accuracy of decision-making at each stage of extraction, transportation, crushing, grinding, flotation, leaching, and resource distribution. Mathematical models make it possible to describe these processes through quantitative relationships, identify limiting factors, forecast technological outcomes, and determine optimal parameters under changing geological and production conditions. Special attention is paid to optimization methods that help reduce energy consumption, minimize operational losses, improve ore recovery, and ensure rational use of mineral resources. The article also highlights the importance of digital technologies, simulation tools, and data-based decision systems in the modernization of gold-mining enterprises. It is argued that the integration of mathematical modeling into technological management creates a scientific basis for sustainable production, increases the reliability of planning, and strengthens the competitiveness of mining enterprises.

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References

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