Comparative analysis of metrological certification methods of mathematical models

Authors

  • Андрей Дмитриевич Тевяшев Kharkiv National University of Radioelectronics 14, ave. Lenina, Kharkov, Ukraine, 61166, Ukraine
  • Юрий Сергеевич Асаенко Kharkiv National University of Radio Electronics Lenina ave., 14, Kharkov, Ukraine, 61166, Ukraine
  • Анатолий Михайлович Кобылин Kharkov Institute of Banking of University of Banking of National Bank of Ukraine Pobedy ave., 55, Kharkov, Ukraine, 61202, Ukraine

DOI:

https://doi.org/10.15587/1729-4061.2015.44159

Keywords:

stochastic models, linear plot, linearization method, modeling, real intervals

Abstract

Additional selection criteria of mathematical models for use in real-time systems based on the metrological certification results were considered in the paper. This allows not only to select adequate models, but also the models that provide the minimum width of the uncertainty intervals of the dependent variables (calculation results) at a given initial data uncertainty. The comparative analysis of the two classical methods for metrological certification: simulation method, statistical linearization method and three variants of the real interval method: classical interval mathematics method, Kaucher interval mathematics method, centered interval method was given.

It was shown that metrological certification results by the considered methods are virtually identical for the considered models, and the centered interval method is the most efficient.

Author Biographies

Андрей Дмитриевич Тевяшев, Kharkiv National University of Radioelectronics 14, ave. Lenina, Kharkov, Ukraine, 61166

Doctor of Technical Sciences, Professor, Head of the Department of Applied Mathematics

Юрий Сергеевич Асаенко, Kharkiv National University of Radio Electronics Lenina ave., 14, Kharkov, Ukraine, 61166

Graduate

Department of Applied Mathematics

Анатолий Михайлович Кобылин, Kharkov Institute of Banking of University of Banking of National Bank of Ukraine Pobedy ave., 55, Kharkov, Ukraine, 61202

Associate professor

Department of Information Technologies

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Published

2015-06-29

How to Cite

Тевяшев, А. Д., Асаенко, Ю. С., & Кобылин, А. М. (2015). Comparative analysis of metrological certification methods of mathematical models. Eastern-European Journal of Enterprise Technologies, 3(4(75), 9–16. https://doi.org/10.15587/1729-4061.2015.44159

Issue

Section

Mathematics and Cybernetics - applied aspects