The three problems -- operational control and management, research and development and design -- form the basis for increasing the efficiency of modern industrial technology and developing new one. The general approach to the development of the problem-oriented models has several particular features which depend on the problems to be solved: knowledge and data about the systems to be modeled, demand for model accuracy, type of model solution (off-line or on-line), computer type, etc. Different kinds of mathematical models which are implemented for operational control and management, research and development and design of a modern industrial technology -- steelmaking in basic oxygen furnaces (BOF) -- have been considered. The problems which were formulated, the approaches to the development of the mathematical models and the processes which occur in BOF technology, are typical for other different kinds of industrial technology, e.g. chemicals, cement industry, atomic reactors, glass industry
