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Abstract. The aim of this work is to form the mathematical background for simulation modeling of material transfer process between the working objects. The model experiment was сarried out to determine inherent specifications of elementary motion of finite capacity between working objects: scoop, loading bucket and large-capacity electric arc furnace. There was proposed the scheme of material transfer process between the working objects on background of model experiment results. There were identified the assumptions in mathematic model. It was proposed to use the two-stage matrix model with mappings as a set of functions. The authors put forward the hypothesis of transferring process between the working objects as the continuous stream of particles. This process takes place under the influence of gravity with the limitations for filling the empty space of the working object.

Abstrast. The task of the study is to create the measures and methods of efficiency definition of new functional task in electric arc furnace control system. The method of system analysis was applied. The research was carried out in the shops of Magnitogorsk Iron and Steel Works (MMK). Method of efficiency definition of new functional task module in electric arc furnace control system was developed. The capacity loading reduction of bucket quantity and materials in charging process in the electric arc furnace for any planned task was presented.