Научный журнал Моделирование, оптимизация и информационные технологииThe scientific journal Modeling, Optimization and Information Technology
cетевое издание
issn 2310-6018

USING POTENTIALS IN LINEAR PROGRAMMING MODELS

Mustaev I.Z.   Guzairov M.B.   Ivanov V.Y.   Maksimova N.K.   Mustaev T.I.  

UDC 338.242
DOI: 10.26102/2310-6018/2019.27.4.033

  • Abstract
  • List of references
  • About authors

The article describes a linear optimization model, which is an interpretation of the linear programming model of Kantorovich L. V. The accumulated potentials are considered as variables, a brief description of which is given in the paper. Additionally, models of forecasted and full potentials are given. The use of accumulated potentials opens up possibilities for modeling objects with long life cycles. This significantly expands the scope of the linear programming methodology to study the behavior of socio-economic systems in market conditions. The foregoing is illustrated in relation to an enterprise of the engineering field. In particular, a comparison was made of the results obtained from the initial data and the results obtained by recalculating the potentials. Features of the dynamics of accumulated potentials allow us to solve the problem of using optimization approaches in conditions of the high volatility of the external environment, in the conditions of emerging markets. Efficiency models and models of time norms are described, which play an auxiliary role in the formation of a linear programming model. In addition, indicators of the potential time norm and potential intensity of the equipment used in this model are formalized. The final model for calculating the production program written using potentials is presented. The model reflects the optimal use of resources and takes the form of direct and dual linear programming problem reformulated with the use of accumulated potentials. The model includes a description of the potentials of the objective function and equations reflecting the potentials of resource constraints.

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Mustaev Irek Zakievich
Doctor of Economic Sciences
Email: fermi_moustaev@mail.ru

Ufa State Aviation Technical University

Ufa, Russian Federation

Guzairov Murat Bakirovich
Doctor of Technical Sciences
Email: guzairov@gmail.com

Ufa State Aviation Technical University

Ufa, Russian Federation

Ivanov Vladimir Yuryevich
Candidate of Engineering Sciences
Email: ivanov.vladimir@mail.ru

JV «DBAengineering»

Ufa, Russian Federation

Maksimova Natalya Konstantinovna

Email: maksimova@umpo.ru

PJSC Ufa Engine-Building Production Association

Ufa, Russian Federation

Mustaev Timur Irekovich

Email: tima.mus.1321@gmail.com

Ufa State Aviation Technical University

Ufa, Russian Federation

Keywords: linear programming, accumulated potential, forecasted potential, dynamic model, sociophysical object

For citation: Mustaev I.Z. Guzairov M.B. Ivanov V.Y. Maksimova N.K. Mustaev T.I. USING POTENTIALS IN LINEAR PROGRAMMING MODELS. Modeling, Optimization and Information Technology. 2019;7(4). Available from: https://moit.vivt.ru/wp-content/uploads/2019/11/MustaevSoavtori_4_19_1.pdf DOI: 10.26102/2310-6018/2019.27.4.033 (In Russ).

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