Introduction. In spite of the considerable scientific results obtained by Ukrainian and foreign scientists in the field of management of socio-economic processes and systems, many problems remain and they are related to the improvement of the principles and mechanisms of management of investment resources of the enterprise, which, in turn, is due to the lack of a single , universally recognized in the business world, an effective science-based approach to modeling the management of enterprise investment resources. Purpose. The purpose of this study is to analyze modern approaches to modeling the management of enterprise investment resources to form a methodological basis that will absorb most of the benefits of well-known schools and approaches. Results. The methodology of economics and mathematical modeling, which is the basis of the concept of forming an economic-mathematical model of management of investment resources of the enterprise, allows us to carry out an analysis of the processes of functioning of the investment activity of the enterprise, as well as to formalize the processes of optimization and planning of investment resources at the enterprise. Conclusions. At the present stage of the theory and practice development of management, all preconditions for the further development of management systems of socio-economic systems were created by complicating their information structure, computerization, intellectualization (both their individual components and systems in general). The priority of scientific research in this area is the rational synthesis of the cybernetic approach with multi-agent, reflexive and other approaches to modeling the management of investment resources at the enterprise in order to combine modern computing power of information systems with the results of scientific and applied research in the field of economic systems management at all levels
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