This article discusses the issues of modeling three hardware units for controlling the flotation of potash ore based on systems thinking. On the basis of system analysis, it was determined that a flotation apparatus having a number of input and output parameters is characterized by control and controlled variables. Determination of the input, output, and internal parameters of both the system and the process allows one to define and carry out a preliminary analysis. Subsequently, the relationships between the parameters are determined. In most cases, determining the relationship between the output and input parameters provides a more complete analysis of the research object. After that, it is possible to proceed to determining optimal solutions. The improvement of technological processes and flotation devices is demonstrated on the basis of systems thinking and modern trends in the development of ore processing plants. Multistage methods, computer models, and algorithms for more accurate calculation of the dynamics of technological apparatuses are proposed; the coefficients of technological processes and operating modes of three-vessel flotation units are determined.
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