Analysis of the Methodology of Constructing a Production Function Using Quality Criteria | Journal of Engineering Sciences

Analysis of the Methodology of Constructing a Production Function Using Quality Criteria

Author(s): Skrynkovskyy R. M.1, Yuzevych V. M.2, Kataev A. V.3, Pawlowski G.4*, Protsiuk T. B.5

1 Lviv University of Business and Law, 99 Kulparkіvska St., 79021 Lviv, Ukraine;
2 Karpenko Physico-Mechanical Institute of the NAS of Ukraine, 5 Naukova St., 79060 Lviv, Ukraine;
3 Kharkiv Institute of Trade and Economics of Kyiv National University of Trade and Economics, 8 Otakara Yarosha St., 61045 Kharkiv, Ukraine;
4 Zaklad Handlowo-Uslugowy BHP”, 17 Kostrzynska St., 69-113 Gorzyca, Poland;
5 Academy of Financial Monitoring, 24 Biloruska St., 04050 Kyiv, Ukraine

*Corresponding Author’s Address:

Issue: Volume 6; Issue 1 (2019)

Paper received: July 20, 2018
The final version of the paper received: December 16, 2018
Paper accepted online: December 20, 2018

Skrynkovskyy R. M. Analysis of the Methodology of Constructing a Production Function Using Quality Criteria / R. M. Skrynkovskyy, V. M. Yuzevych, A. V. Kataev, G. Pawlowski, T. B. Protsiuk // Journal of Engineering Sciences. – Sumy : Sumy State University, 2019. – Volume 6, Issue 1. – P. B1-B5.

DOI: 10.21272/jes.2019.6(1).b1

Research Area: MANUFACTURING ENGINEERING: Technical Regulations and Metrological Support

Abstract. In the article to forecast the trends of development of the state’s industry (for example, Ukraine), a method for evaluating the parameters included in the classical Cobb-Douglas formula is developed. On the basis of the computational experiment it was established that if the values of the production function Y are close to the numerical values and the deviation between them does not exceed 3.7 %, then for approximation of Y in the industry for small time periods, it makes no sense to complicate the set of its parameters and coefficients. For forecasting the values of Yi (Yi Î Y) we have evaluated the parameters that are included in the classical Cobb-Douglas formula. To improve the methodology for estimating the coefficients included in the Cobb-Douglas type formula, new variants of the multiplicative and additive quality criteria and for the Ukrainian industry are proposed, based on the analytical data for 2010–2017, the evaluation of the relevant criteria was carried out.

Keywords: production function, Cobb-Douglas function, quality criteria, industry, industrial products.


  1. Zahorodnii, A. H., & Vozniuk, H. L. (2005). Financial and Economic Dictionary. Lviv: Lvivska Politekhnika [in Ukrainian].
  2. Shumska, S. S. (2007). Production Function in Economic Analysis: Theory and Practice of Use. Ekonomika Prohnozuvannia, Vol. 2, pp. 138–153 [in Ukrainian].
  3. Heiets, V. M., & Ostashko, T.O. (2016). Implementation of the Association Agreement between Ukraine and the EU: Economic Challenges and New Opportunities. Kyiv, National Academy of Sciences of Ukraine [in Ukrainian].
  4. Fandel, G. (1991). Limitational Production Functions. Theory of Production and Cost, pp. 111–146, doi: 10.1007/978-3-642-76812-5_4.
  5. Cobb, C. W., & Douglas, P. H. (1928). A Theory of Production. The American Economic Review, Vol. 18, No. 1, pp. 139–165.
  6. Lytvyn, О. М., & Artiukh, М. V. (2018). Testing the method of constructing production functions with variable coefficients (PFVCE). Mathematical and computer modelling, Series: Technical Sciences, Vol. 17, pp. 117–123 [in Ukrainian].
  7. Lytvyn, О. М., & Artiukh, М. V. (2012). The Production Function with Variable Elasticity Coefficients, Based on the Experimental Data of Cobb-Douglas. Bulletin of the National Technical University “KhPI”, Series: Mathematical Modeling in Engineering and Technologies, Vol. 27, pp. 124–129.
  8. Hicks, J. R. (1937). Mr. Keynes and the “Classics”; A Suggested Interpretation. Econometrica, Vol. 5(2), pp. 147, doi: 10.2307/1907242.
  9. Solow, R. M. (1956). A Contribution to the Theory of Economic Growth. The Quarterly Journal of Economics, Vol. 70(1), pp. 6, doi: 10.2307/1884513.
  10. Harrod, R. F. (1939). An Essay in Dynamic Theory. The Economic Journal, Vol. 49(193), pp. 14, doi: 2307/2225181.
  11. Oliner, S. D., & Sichel, D. E. (2000). The Resurgence of growth in the Late 1990s: Is Information technology the Story? The Jornal of Economic Perspectives, Vol. 14(4), pp. 3–22, doi: 1257/jep.14.4.3.
  12. Skrynkovskyy, R. M. (2018). Diagnosing the Maturity Level of IT Processes at the Enterprise. Business Inform, Vol. 4(483), pp. 377–383.
  13. Lukashin, Yu., & Rahlina, L. (2004). Production Functions in the Analysis of the World Economy. Mirovaya Ekonomika i Mejdunarodnyie Otnosheniya, Vol. 1, pp. 17–27 [in Russian].
  14. Mankiw, N. G., Romer, D., & Weil, D. (1990). A Contribution to the Empirics of Economic Growth. Cambridge, NBER Working Papers Series, doi: 3386/w3541.
  15. Hall, R., & Jones, C. (1999). Why Do Some Countries Produce So Much More Output per Worker than Others? Cambridge, NBER Working Papers Series, doi: 3386/w6564.
  16. State Statistics Servise of Ukraine (2018). Statistical Information. Retrieved from:
  17. Yuzevych, L., Skrynkovskyy, R., & Koman, B. (2017). Development of information support of quality management of underground pipelines. EUREKA: Physics and Engineering, Vol. 4, pp. 49–60, doi: 21303/2461-4262.2017.00392.
  18. Panchenko, S., Lavrukhin, О., & Shapatina, O. (2017). Creating a qualimetric criterion for the generalized level of vehicle. Eastern-European Journal of Enterprise Technologies, Vol. 1(3 (85)), 39–45, doi: 10.15587/1729-4061.2017.92203.
  19. Skrynkovskyy, R. (2015). Diagnostics of the Enterprise Production Competitiveness. The Problems of Economy, Vol. 4, pp. 240–246 [in Ukrainian].
  20. Amosha, I., Bulieiev, I. P., Zemliankin, A. I., et al. (2017). Industry of Ukraine – 2016: The State and Prospects of Development. National Academy of Sciences of Ukraine, Kyiv [in Ukrainian].
  21. Parkhomenko, N. (2010). International Experience of Providing of Quality of Products. Forum Prava, Vol. 3, pp. 344–350 [in Ukrainian].
  22. Pawlowski, G. (2017). Development of the system of management diagnostics of the enterprise: Doctoral dissertation. Retrieved from:
  23. Yuzevych, V., Klyuvak, O., & Skrynkovskyy, R. (2016). Diagnostics of the system of interaction between the government and business in terms of public e-procurement. Economic Annals-ХХI, Vol. 160(7–8), pp. 39–44, doi: 21003/ea.v160-08.

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