The concept and model of evaluating production entropy

The issues and tools of improving the effectiveness of production system management, especially in the context of a growing dynamics of the technological process, are among the most important in the theory and practice of management. Identification of the development vector and priorities is possible only upon evaluation of the object’s current state. Determination of the new approaches of a complex development of the evaluated so­cial and economic object requires improving the mechanisms of assessment of its condition. The author justifies the relevance of introducing a new “production entropy” concept and suggest the evaluation matrix of measuring the depth of entropy trends in the production functions, management processes, organizational systems under study. The evaluation matrix model covers a variety of options in the three-dimensional space forming a vertical metric scale “negentropy – entropy”. The three-dimensional matrix (M3D) model which pos­sesses the features of the constructive organization in the system space of interrelations of functions and purposeful processes was considered as the reference sample of the production system. For the most effective solution of the tasks set the author uses graphic modeling of conceptual objects as the means of formalizing the “visual design”. Graphic and mathematical modeling has made it possible to coordinate production processes and functions, create the form and the mathematical model of the production function within a single system en­vironment. Controlling the production entropy will ensure timely identification of the risks of plunging production systems into a state of process disorder and functional chaos, and, accordingly, take measures to minimize them.

1. Rybin V.A. Entropy is a theoretical phantom? Bulletin of Chelyabinsk State University. Philosophical Sciences. 2016;(42):71–77. (In Russ.)

2. Shannon C.E. A mathematical theory of communication. Bell System Technical Journal. 1948;27(3):419.

3. Babkin A.V., Shkarupeta E.V. Industry 6.0: The essence, trends and strategic opportunities for Russia. Russian Journal of Industrial Economics. 2024;17(4):353–377. (In Russ.). https://doi.org/10.17073/2072-1633-2024-4-1369

4. Kan E.N. Design thinking as a way to manage entropy in the era of the VUCA, BANI, and SHIVA world. Creative Economy. 2023;17(9):3187–3200. (In Russ.). https://doi.org/10.18334/ce.17.9.119039

5. Chervyakov M.E., Seleznev V.M. Social entropy as a result of the interaction of micro-and macro-levels of social systems. Vestnik Vost-Sibirskoi otkrytoi akademii. 2021;(42):12. (In Russ.)

6. Chuprov S.V. Modeling entropy dynamics and information analysis of industrial systems. Informatics and Control Systems. 2025;(3(85)):29–40. (In Russ.). https://doi.org/10.22250/18142400_2025_85_3_29

7. Karasev V.V., Karaseva E.I. Main stock indexes entropy as uncertainty indicator for economics. Ekonomika. Pravo. Innovatsii. 2023;(4):4–16. (In Russ.). https://doi.org/10.17586/2713-1874-2023-4-4-16

8. Chep’yuk O.R. Entropy as a measure of economic development. Humanities, Social-Economic and Social Sciences. 2014;(6-1):64–70. (In Russ.)

9. Burik N.A. Methods for estimating entropy and analyzing sectoral development of the economy. Economics and Management. 2024;30(4):418–424. (In Russ.). https://doi.org/10.35854/1998-1627-2024-4-418-424

10. Efremova E.N. Production entropy in methodological, technological and pragmatic projections of the M3D model. Russian Journal of Innovation Economics. 2025;15(2):557–572. (In Russ.). https://doi.org/10.18334/vinec.15.2.122813

11. Denisova V.G. Visual management as a tool of management. Standards and Quality. 2019;(9(987)):70–74. (In Russ.)

12. Мищенко Т. Организационная структура предприятия как главный борец с хаосом в бизнес-процессах. Совкомблог. Бизнесу / Совкомбанк. 14.05.2024. Режим доступа: https://journal.sovcombank.ru/biznesu/organizatsionnaya-struktura-predpriyatiya-kak-glavnii-borets-s-haosom-v-biznes-protsessah#:~:text=В%20мировой%20и%20российской%20практиках,с%20элементами%20разных%20систем%20управления (дата обращения: 15.02.2026).

13. Stepanov A. On terminology and process approach. Standards and Quality. 2007;(1):84–88. (In Russ.)

14. Gorchakova E.N. The peculiarities of modeling business systems M3D. Methods of Quality Management. 2019;(10):46–50. (In Russ.)

15. Barantsev R.G. Immanent problems of synergetics. Voprosy filosofii. 2002;(9):91–101. (In Russ.)

16. Sidorov D.A. Analysis of information entropy of business processes of an aviation enterprise. Innovatsii v grazhdanskoi aviatsii. 2019;4(2):41–47. (In Russ.)

17. Максимцов М.М., Игнатьева А.В., Комаров М.А. Менеджмент. Под ред. М.М. Максимцова, А.В. Игнатьевой. М.: Юнити; 1998. 343 с.

18. Матчиньский И.Ф. Организация труда на рабочих местах. Пер. с пол. М.: Машиностроение; 1984. 192 с. (Russ. transl. from: Matczyński S.A. Organizacja pracy na stanowiskach pracy. Warszawa; 1978. 192 p.)

19. Саати Т., Керн К. Аналитическое планирование. Организация систем. Пер. с англ. М.: Радио и связь; 1991. 223 с. (Russ. transl. from: Saati T., Kern K. Annalitical planning. The organization of systems. Oxford; New York; Toronto; Sydney; Frankfurt: Rergamon Rress; 1976. 208 p.)

20. Chalenko A.Yu. The paradox of V. Leontiev. But did it exist? Economy and Law. 2008;(3):160–163. (In Russ.)

21. Afanasyev A.A. Using the Cobb–Douglas production function based on panel data in the analysis of manufacturing industries in Russia. Creative Economy. 2022;16(6):2363–2380. (In Russ.). https://doi.org/10.18334/ce.16.6.114851

22. Zakharov V.N. Intelligent technologies in modern control systems. Problemy teorii i praktiki upravleniya. 2005;(4):96–100. (In Russ.)