The article investigates the problems of the investment management digital transformations at the enterprise, where the instrumental basis based on the system economic theory and integrated IT risk management theory are allocated. The purpose of the study is to develop a recursive and convergence methodology of the investment management of the enterprise digitalization processes. The components of the process of investment digitalization of enterprises are structurally reflected and a deterministic 5-component model of developing a recursive and convergence management methodology based on the digital economy is formed. It is determined that the recursive and conversion methodology is based on the understanding of investment management digital transformations at an enterprise as a complex system, characterized primarily by the diversity and heterogeneity of the constituent elements, numerous internal and external connections, which causes a variety of their interaction, changes in the composition and state of the system. The recursive model provides management of the investment of digitalization in the enterprise as a sequential transition between processes of one level only after all the cycles provided for the current process are implemented. However, such a coherent sequence is possible at the expense of effective information support of each process, which should be implemented on a convergence basis. The precondition for its implementation in the field of digital technologies is civilizational development, consequences of globalization and digitalization.
The article proposes a scientific and methodological approach to solve the problems of the construction energy cluster forecasting development, which provides an opportunity to unite the known technology of constructing time series models with the technology of simultaneous systems equations. It was developed the quantification process of the forecasting economic and mathematical formation model of energy cluster development, which will allow to detail the stages of mathematical modeling in the context of the studied problems, taking into account the specificity of production and commercial activity of all integration formation participants. The conditions for carrying out forecasting and analytical procedures of construction energy cluster development have been identified, in particular by the specificity and type of cause and effect and dynamic relationships between the main economic indicators, the intensity factors development trends, the dynamics of regular factors, described by linear and nonlinear ones.
The article presented the scientific research of buildings construction optimization problems on the basis of interdisciplinary approach that provides synergy of modern approaches of construction organization and technology, economic theory and political economy, as well as applied mathematics. The formation and realization of the economic-mathematical model of optimal sequence groups of construction objects are considered on the basis of a method of sequential analysis of variants, based on dynamic programming. According to the provided research results the proposals were made for acceleration of these processes in construction through the development of program complex "Optimization of object construction process by the criterion of time" on the basis of mathematical modeling methods, which provided the opportunity to further optimize and obtain consistency and reduce the construction terms of this buildings groups for almost a year (360 days or 61%).
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