Abstract
Mathematical modeling of the physico - chemical phenomena dynamics of metallurgical facilities with the purpose of further calculation of values of control parameters is knowledge-intensive, and cost is sometimes higher than the benefit from the use of these models. Thus powerful computing resources of automation are used only partially - mainly for acquisition, display, storage of information and simple, single-linked control tasks.The paper proposes a mathematical apparatus for modeling the dependence of the studied output parameter on the set of input parameters affecting it, independent of the parameters of internal physical and chemical transformations of the metallurgical process. Explanations are given by the example of a specific facility. The maximum discrepancy between the model and the initial data by the results of the study was 0.18%.