Forming an effective sme development model based on the results of an analysis of interregional inequality

Relevance. Small and medium-sized enterprises represent a very important component of the economy, which is characterized as a business capable of dynamically developing and responding quickly to constantly changing environmental conditions. However, small and medium-sized enterprises turn out to be the most vulnerable element of the economy in conditions of instability and insufficient incentive measures, resulting in a reduction in their number and the intensification of turbulent situations in the regions.
The purpose of the study is to develop an author's model of the development of small and medium-sized enterprises based on methods of dynamic analysis of statistical data at the level of federal districts of the Russian Federation, allowing to assess the degree of interregional unevenness. Objectives: to analyze the conditions affecting the functioning and development of small and medium-sized enterprises; to identify problematic aspects and negative trends that determine the statistical dynamics of the most important indicators, and to determine the level of interregional asymmetry; to propose a model of a management system for the development of small and mediumsized enterprises and indicators to assess the effectiveness of its implementation for regional management level.
Objective circumstances contribute to the intensification of the problem of asymmetry in the economy of the Russian Federation, which confirms the need to develop an effective model for the development of small and medium-sized enterprises based on studying the dynamics of their functioning in the interests of developing the economy of the country's regions.
Methodology. The research was based on methods of analysis, synthesis, generalization, comparison, forecasting of indicators, as well as mathematical, statistical, functional, graphical, trend and other methods, including general scientific ones. In substantiating decisions aimed at improving the efficiency of small and medium-sized enterprises in the regions, the Theil method, coefficient of variation and the Sturges approach were applied. Results. An effective model for the development of small and medium-sized enterprises has been developed based on a calculated assessment of the degree of interregional divergence and classification of federal districts according to the author's scale of color signals.
Conclusions. A timely study of the numerical characteristics of the development of small and medium-sized enterprises makes it possible to identify deviations in trends and make effective management decisions to reduce the impact of the problem of interregional differences.

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