MODEL OF ECONOMIC DEVELOPMENT OF MECHANICAL ENGINEERING, CONSIDERING CUMULATIVE DYNAMICS OF FACTORS OF PRODUCTION
- Authors: Dubrovina N.A.1, Saraev L.A.1
-
Affiliations:
- the Dept. of Mathematics and Business-Informatics, Samara State University, Samara, 443011, Russian Federation.
- Issue: Vol 5, No 4 (2014)
- Pages: 177-183
- Section: MATHEMATICAL AND INSTRUMENTAL METHODS OF ECONOMICS
- URL: https://journals.ssau.ru/eco/article/view/5454
- DOI: https://doi.org/10.18287/2542-0461-2014-0-4-177-183
- ID: 5454
Cite item
Full Text
Abstract
In this paper a variant of mathematical model of economic development of mechanical engineering on the basis of dynamics of cumulative factors of production is suggested. Changes over time of these factors are described by differential equations of logistic curves that adequately reflect underlying macroeconomic aspects of the process of reproduction. Dynamics of industry output is given by multifactor production function with constant elasticity of substitution of resources. Evolutionary and innovative scenarios of economic development of mechanical engineering are viewed. Numerical analysis of resulting model showed good agreement with known statistics.
About the authors
N. A. Dubrovina
the Dept. of Mathematics and Business-Informatics, Samara State University, Samara, 443011, Russian Federation.
Author for correspondence.
Email: morenov.sv@ssau.ru
L. A. Saraev
the Dept. of Mathematics and Business-Informatics, Samara State University, Samara, 443011, Russian Federation.
Email: morenov.sv@ssau.ru
References
- Saraev A.L., Saraev L.A. Continual theory of operating process and factor productivity of industrial enterprises // Vestnik Samarskogo gosudarstvennogo universiteta. 2012. № 7 (98). P. 196–203.
- Saraev A.L., Saraev L.A. To the theory of structural modernization of industrial enterprises // Vestnik Samarskogo gosudarstvennogo universiteta. 2012. № 10 (101). P. 160–169.
- Saraev A.L., Saraev L.A. To the estimate of profits and expenses of enterprises that modernize production structure // Vestnik Samarskogo gosudarstvennogo universiteta. 2013. № 1 (102). P. 186–196.
- Mantulenko A.V., Saraev A.L., Saraev L.A. To the theory of optimal distribution of factors of production, operating and transaction expenses // Vestnik Samarskogo gosudarstvennogo universiteta. 2013. № 7 (108). P. 177–126.
- Nizhegorodtsev R.M. Models of logistic dynamics as an instrument of economic analysis and prognostication // Modelirovanie ekonomicheskoi dinamiki: risk, optimizatsiia, prognozirovanie. M., 1997. P. 34–51.
- Cheremnykh Yu.N. Microeconomics. Advanced level: тextbook. M.: Infra-M, 2013. 844 p.
- Gracheva M.V., Fadeeva L.N., Cheremnykh Yu. N. Modelling of economic processes: тextbook. M.: YUNITI-DANA, 2005. 351 p.
Supplementary files
