Econometric and mathematical tools for managing enterprise digital transformation based on a ten-component maturity model

Abstract

The urgency of the topic arises from the need to overcome fragmented digitalization and reduce the digital gap between domestic enterprises and EU standards. Purpose. The purpose of the article is to develop and formalize a dynamic economic-mathematical model for digital transformation management, which allows for designing a target trajectory of the enterprise's digital maturity by synchronizing ten key development vectors and evaluating the synergetic effects of their complex integration. Research Methodology. The study employs methods of economic-mathematical modeling, systems theory, and optimization. The dynamics of ten digital transformation vectors are described by a system of non-linear equations with a logistic saturation function to account for the «diminishing returns» effect. The optimization problem is formulated as the maximization of a weighted discounted result using a system of constraints (budgetary, human resource, and security-related). The parameterization of the model is based on empirical data and Eurostat comparative benchmarks. Results. The article substantiates a mechanism that interprets digital transformation as an architecturally integrated system rather than a set of isolated technologies. An endogenous variable of complex integration has been formalized, allowing for the quantitative measurement of the synergetic effect of ERP, BI, and AI complementarity. Calculations confirmed that the systemic implementation of the mechanism ensures the achievement of over 80% convergence with EU benchmarks over a five-year horizon. It is proven that after reaching a «critical mass» of implementations, the priority shifts from infrastructure buildup to the institutionalization of management practices and data quality. Practical Value. The research results can be utilized by enterprise management as a toolkit for strategic planning of digital initiative portfolios. The model enables forecasting investment effects, minimizing risks of structural imbalances, and monitoring the convergence of business processes with the European digital space.