SYSTEMATIZATION AND MODERNIZATION OF MATHEMATICAL METHODS FOR EVALUATING THE EFFICIENCY OF ECONOMIC SYSTEMS

Abstract

The article provides a comprehensive analysis and systematization of mathematical methods used to evaluate the efficiency indicators of economic systems under modern economic conditions. The feasibility of applying economic and mathematical modeling as a tool for formalizing complex economic processes and supporting managerial decision-making is substantiated. The possibilities of applying methods of mathematical statistics, econometrics, mathematical programming, game theory, queuing theory, and operations research in the context of enterprise performance analysis are considered. A generalized formulation of the problem of efficiency evaluation using an objective function and a system of constraints is proposed. An example of a multifactor regression model is presented, allowing the assessment of the influence of key economic indicators on an integrated efficiency index. The results of the study can be used to improve the validity of management decisions and to forecast the development of economic systems.