Domestic companies upgrade their production facilities as it is an imperative of the economy changing over to a new technological mode right now. Industrial companies use more automation and robotization of production, and the level of digital intellectualization is growing. Introduced into technological processes, digital technologies save time and costs of production and reduce the human factor effect. Foundry industry is no exception. The authors suggest considering a foundry process as a set of stages: designing and manufacturing casting models, preparation of charge materials, preparation of initial molding materials, smelting, mixing, casting metal in ladles, mold manufacturing, pouring smelt in mold, knocking castings out of mold, stumping and cleaning of castings, heat treatment of castings, quality inspection of castings. The article organizes information about the digital technologies used at each of the selected stages of the foundry castings by pouring the melt into sand molds. The application of computer technology, digital devices, and software is considered in detail at the stages of the casting model design, charging and molding materials preparation, sand mold manufacturing and casting quality inspection. Digital technologies optimize production, save time and costs.

Nowadays there exist a great number of program packages, allowing solution of common tasks of automation of the math modeling. Industries with their specific features may demand particular approaches to solving their problems. Modern information technologies allow development of a special application software for processing a specific task in such cases. The article suggests a description of a general architecture concept of the application software, which can automate tasks of the math modeling to solve different issues related to the industrial production. It describes a detailed algorithm of data processing in such a product using the capabilities of the information technologies. The capabilities of such an application software are shown in the example of preliminary draft model design of large pouring ladle stopper durability. The results that have been achieved with the help of the extemporized model allow making a conclusion that a model that has been built by the same techniques based on an annual scope of collected information will make it possible to get reliable answers for the tasks of production management.

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Data about the technological production characteristics are sent to the archive, where they will be stored for many years. However, the stored data contains many undisclosed links between technological factors and technical and economic production indicators. The article presents a hypothesis about the possibility of processing data generated during production processes of industrial enterprises by analogy developing mining and physical dumps. The article provides an example of studying the sufficiency of the volume of a data metallurgical dump for constructing mathematical models using the experimental planning method. Samples from real production data dumps can compensate for the difficulties of implementing a modern active experiment in training future specialists in secondary vocational and higher education institutions. It is established that the data accumulated over the year in the production archive contain the necessary combinations of realizations of random variables for the two-factor model. The interval method of varying the levels of variables enables to construct an experimental matrix for a three-factor model as well.

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