Cite item


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


  1. Keshelava A.V. Digital transformation of the enterprise. Available at: http://spkurdyumov.ru/digital_economy/
  2. cifrovaya-transformaciya-predpriyatiya. (In Russ.)
  3. Keshelava A.V., Budanov V.G., Rumyantsev V.Yu. et al. Introduction to the «Digital» economy. VNIIGeosistem, 2017, 28 p. Available at: http://spkurdyumov.ru/uploads/2017/07/vvedenie-v-cifrovuyu-ekonomiku-na-poroge-cifrovogo-budushhego.pdf. (In Russ.)
  4. Makarov I.N., Shirokova O.V., Arutyunyan V.A., Putintseva E.E. Digital transformation of multi-scale enterprises involved in the real sector of the russian economy. Ekonomicheskie otnosheniya = Journal of International Economic Affairs, 2019, vol. 9, no. 1, pp. 313–326. DOI: http://doi.org/10.18334/eo.9.1.39966.
  5. (In Russ.)
  6. Arenkov I.A., Smirnov S.A., Sharafutdinov D.R., Yaburova D.V. Transformation of the enterprise management system in the transition to the digital economy. Russian Journal of Entrepreneurship, 2018, no. 5, pp. 1711–1722. DOI: http:// doi.org/10.18334/rp.19.5.39115. (In Russ.)
  7. Arutyunyan V.A. Soft power: experience of the Russian Federation through the prism of international relations. Ekonomicheskie otnosheniya = Journal of International Economic Affairs, 2018, no. 3, pp. 475–486. DOI: http:// doi.org/10.18334/eo.8.3.39396. (In Russ.)
  8. Borsch L.M., Gerasimova S.V., Tyulin A.S. On the questions of transformation of economics and modernization of technological processes in Russia. Kreativnaya ekonomika = Creative Economy, 2018, vol. 12, no. 6, pp. 717–732. DOI: http:// doi.org/10.18334/ce.12.6.39206. (In Russ.)
  9. Drobyshevskaya L.N., Popova E.D. Development of Russian knowledge economy in the era of digital transformations. Kreativnaya ekonomika = Creative Economy, 2018, vol. 12, no. 4, pp. 429–446. DOI: http:// doi.org/10.18334/ce.12.4.39019. (In Russ.)
  10. Kaufman N.Yu. Transformation of knowledge management in the context of digital economy development. Kreativnaya ekonomika = Creative Economy, 2018, vol. 12, no. 3, pp. 261–270. DOI: http:// doi.org/10.18334/ce.12.3.38922. (In Russ.)
  11. Skrug V. S. Transformation of industry in the digital economy: problems and prospects. Kreativnaya ekonomika = Creative Economy, 2018, vol. 12, no. 7, pp. 943–952. DOI: http://doi.org/10.18334/ce.12.7.39208. (In Russ.)
  12. Smirnov E.N. Evolution of innovative development and prerequisite of digitalization and digital transformations of the world economy. Voprosy innovatsionnoy ekonomiki = Russian Journal of Innovation Economics, 2018, vol. 8, no. 4, pp. 553–564. DOI: http://doi.org/10.18334/vinec.8.4.39696. (In Russ.)
  13. Saveleva E.A. Essence and functions of labor regulation in transition to the digital economy. Ekonomika truda = Russian Journal of Labour Economics, 2018, vol. 5, no. 1, pp. 1–12. DOI: http://doi.org/10.18334/et.5.1.38886. (In Russ.)
  14. Sycheva O.S., Yakushin V.V. Internet of things as a driving force of marketing. Torgovo-ekonomicheskiy zhurnal = Russian Journal of Retail Management, 2016, vol. 3, no. 4, pp. 341–348. DOI: http://doi.org/10.18334/tezh.3.4.37161. (In Russ.)
  15. Ilyina E.A., Parphenova A.Yu., Saraev L.A. Influence of changes to the total volume of the market on the kinetics of the process of diffusion of innovations. Bulletin of the Altai Academy of Economics and Law, 2019, no. 12, pp. 61–67. DOI: http://doi.org/10.17513/vaael.848. (In Russ.)
  16. Bass F.M. A new product growth model for consumer durables. Management Science, 1969, vol. 15, pp. 215–227. Available at: https://math.la.asu.edu/~dieter/courses/APM_598/Bass_69.pdf.

Copyright (c) 2020 Елена Алексеевна Ильина, Леонид Александрович Сараев

This website uses cookies

You consent to our cookies if you continue to use our website.

About Cookies