NECESSARY CONDITION OF EXISTENCE OF THE CORRECT BALANCE EQUATION SOLUTION IN INNOVATIONAL INDUSTRIAL CLUSTER’S GROSS VOLUME PLAN CALCULATION

UDC 004.021

 

Smelova Valeria Vladimirovna – Master’s degree student, the Department of Software Engineering. Belarusian State Technological University (13a, Sverdlova str., 220006, Minsk, Republic of Belarus). E-mail: valeria.smelova0@gmail.com

Shiman Dmitriy Vasilievich – PhD (Engineering), Assistant Professor, Dean of the Faculty of Information Systems and Technology. Belarusian State Technological University (13a, Sverdlova str., 220006, Minsk, Republic of Belarus). E-mail: d.shiman@belstu.by

 

DOI: https://doi.org/ 10.52065/2520-6141-2023-272-2-12 (In Russian).

 

Key words: tree-ring width, European beech, Douglas fir, climate, state.

 

For citation: Smelova V. V., Shiman D. V. Necessary condition of existence of the correct balance equation solution in innovational industrial cluster’s gross volume plan calculation. Proceedings of BSTU, issue 3, Physics and Mathematics. Informatics, 2023, no. 2 (272), pp. 80–88. DOI: 10.52065/2520-6141-2023-272-2-12 (In Russian).

 

Abstract

An innovation-industrial cluster is an association of business entities for the purpose of effective interaction and joint sustainable development. To plan the gross output of the cluster, it is proposed to use a method based on the Leontief balance model. Application of the method is reduced to solving a system of linear equations of high dimension. The article studies the problems that arise when solving such a system of equations, introduces the concepts of a correct balance equation and a correct plan, formulates and formally proves the necessary condition for its existence, and also gives an economic interpretation of this condition.

Download

References

 

1.Novikova I. V., Smelova V. V., Timofeeva Yu. A., Shiman D. V. The concept of the digital platform of the innovation-industrial cluster. Importozameshcheniye, nauchno-tekhnicheskaya i ekonomicheskaya bezopasnost': sb. st. V Mezhdunar. nauch.-tekhn. konf. “Minskiye nauchnyye chteniya – 2022” [Import substitution, scientific, technical and economic security: sat. art. V Intern. sci.-tech. conf. “Minsk Scientific Readings – 2022”]. Minsk, BSTU, 2022, pp. 3–7 (In Russian).

  1. Novikova I. V., Smelova V. V. Planning the gross output of the innovation-industrial cluster. Tsifrovizatsiya: ekonomika i upravleniye proizvodstvom: materialy 87-y nauch.-tekhn. konf. prof.-prepodavat. sostava, nauch. sotrudnikov i aspirantov [Digitalization: economics and production management: proceedings of the 87th scientific and technical conference of the faculty, researchers and graduate students]. Minsk, 2022, pp. 29–32 (In Russian).
  2. Smelova V. V., Shiman D. V. Algorithm for planning the gross output of an innovation-industrial cluster. Algoritmizatsiya i programmirovaniye. Aktual'nyye problemy programmnoy inzhenerii: materialy 87-y nauch.-tekhn. konf. prof.-prepodavat. sostava, nauch. sotrudnikov i aspirantov [Algorithmization and programming. Actual problems of software engineering: proceedings of the 87th scientific and technical conference of the faculty, researchers and graduate students]. Minsk, 2022, pp. 29–32 (In Russian).
  3. Verzhbitsky V. M. Osnova chislennykh metodov [Fundamentals of numerical methods]. Moscow, Vysshaya shkola Publ., 2002. 840 p. (In Russian).
  4. Krylov V. I. Vychislitel'nyye metody vysshey matematiki [Computational methods of higher mathematics]. Minsk, Vysheyshaya shkola Publ., 1972. 585 p. (In Russian).
  5. Math.NET Numerics. Available at: https://numerics.mathdotnet.com/ (accessed 01.03.2023) (In Russian).
  6. Yashkardin V. IEEE 754 – binary floating point arithmetic standard. Available at: http:// www.softelectro.ru/ieee754.html (accessed 04.03.2023) (In Russian).

 

Поступила после доработки 15.03.2023