The published article proposes a mathematical model for assessing the output, costs and profits of a manufacturing enterprise in digital transformation. The features of changes in the economic indicators of an enterprise accompanying its development in the context of digital changes are considered. The impact of digital transformations on the economic potential of the enterprise is evaluated. The patterns of temporary changes for the production, profit and costs of the enterprise with the introduction of digital technologies are established. The process of digital transformation of an enterprise is described by means of a special dimensionless digitalization function, which varies from zero to one. Using this function, it is possible to organically combine the two main components of the digital transformation of the enterprise, which are internal digitalization (digital inside) and external digitalization (digital outside). The first component corresponds to the initial stage of the digital transformation of production, management, administrative processes, and the second component corresponds to the stage of the developed digital transformation of the enterprise in terms of interaction with customers, partners, suppliers, regulators. A numerical analysis of the obtained economic and mathematical model shows that the maximum value of the enterprise’s profit varies over time and corresponds to the level of digital transformation of the production enterprise in question.

About the authors

Elena A. Ilyina

Samara National Research University

Author for correspondence.
Email: elenaalex.ilyina@yandex.ru
ORCID iD: 0000-0002-2590-6138

Candidate of Physical and Mathematical Sciences, associate professor of the Department of Mathematics and Business Informatics

Russian Federation

Leonid A. Saraev

Samara National Research University

Email: saraev_leo@mail.ru
ORCID iD: 0000-0003-3625-5921

Doctor of Physical and Mathematical Sciences, professor, head of the Department of Mathematics and Business Informatics

Russian Federation


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