The development of digital modeling in the theory of regional economics based on data on industrial petrochemical types of activity

According to the production activities of the Republic of Tatarstan, the importance of the petrochemical and chemical cluster in the sustainability of the regional economy is considered. The expediency of digital modeling based on the simplex method in the theory of regional economics as the development of the W. Aizard spatial analysis school is introduced. a certain group of close industrial, commercial or other ties. The article shows a new economic and mathematical approach to comparing exports of plastics and their products, synthetic rubber and tires on the one hand, and imports of plastics and products from them, essential oils, perfumery, cosmetics and organic compounds on the other. On the basis of the same economic-mathematical method, a digital model of communication of the above-mentioned types of industrial activity is presented with the distribution of foreign investment by petrochemical and chemical types of eco-nomic activity of the Republic of Tatarstan. On her example, a proposal was developed on the possibility of forming a conclusion about the sustainability of a regional economic system with a high value of petrochemical cluster. Digital modeling is currently developing very productively. This is due to the high development of software, which is being formed in the form of software packages. The use of such packages improves simulation performance and at the same time simplifies it. The advantages of digital modeling methods are the ability to solve any class of problems amenable to mathematical formalization, ensure high accuracy of computational work, ease of transforming one task into another (as a rule, just restart the program) and study objects of high dimensionality.Â