Models and Algorithms to Support the Coordination of Socio-Economic Indicators of Regional Development in the Context of Epidemiological Restrictions

The article is devoted to the development of mathematical models and algorithms for harmonizing regional development indicators in difficult conditions caused by the need to introduce epidemiological restrictions. Based on a systematic approach, the task of harmonizing the socio-economic indicators of the region's development under conditions of epidemiological restrictions is posed and formally described. This task has a two-level structure, which reflects the hierarchical system of the region. At the top level, regional authorities form a control influence on the economic system of the region, ensuring development indicators of enterprises in the region sufficient to achieve the required values of social indicators. At the same time, the interests of the management of enterprises in the region and the difficulties associated with additional costs and limited participation of labor resources in the production process (lower-level task) are taken into account. To specify the lower-level task, a model has been formed to determine the parameters of the rational functioning of a group of enterprises under the conditions of epidemiological restrictions. Based on the model, an algorithm has been developed for harmonizing indicators of the socio-economic development of the region under the conditions of epidemiological restrictions. The algorithm makes it possible to find a solution to the coordination problem in the event that subsidies are chosen as a support measure by regional authorities. A software product has been developed to carry out practical calculations.