10.14489/td.2025.06.pp.046-051

2025, 06 June

DOI: 10.14489/td.2025.06.pp.046-051

Novikova T. A., Lyapuntsova E. V.
DEVELOPMENT OF TOOL FOR PREDICTING THE CONDITION OF EQUIPMENT, TAKING INTO ACCOUNT THE CHOICE OF THE OPTIMAL RELIABILITY FUNCTION
(pp. 46-51)

Abstract. The article makes a strong case for extending the useful life of equipment with a high proportion of physical and moral deterioration. It puts forward a method of predicting the technical condition of equipment by selecting the optimal reliability function, and develops a program to implement this method. This program is a sequential call of three subroutines using statistical methods of data analysis. The first subroutine performs the primary data processing. The second subroutine calculates the parameters of four distributions (exponential, normal, lognormal and Weibull) and selects the optimal reliability function using the Kolmogorov-Smirnov agreement criterion. The third subroutine visualizes graphs of theoretical and empirical distributions. The program was approved and the study's hypothesis was confirmed: different reliability functions can be used for units of the same type of equipment.

Keywords: reliability function, maintenance and repair, Grubbs criterion, Kolmogorov‒Smirnov agreement criterion, Mann‒Kendall test.

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T. A. Novikova, E. V. Lyapuntsova (Bauman Moscow State Technical University, Moscow, Russia) E-mail: Данный адрес e-mail защищен от спам-ботов, Вам необходимо включить Javascript для его просмотра. , Данный адрес e-mail защищен от спам-ботов, Вам необходимо включить Javascript для его просмотра.

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1 Federal State Statistics Service. (2025). Retrieved from http://www.gks.ru. (Accessed 26.02.2025). [in Russian language]
2 Tarasenko I. D., Dudarev V. A. (2017). Using statistical criteria to assess data quality (using data on the properties of inorganic substances as an example). Tonkie himicheskie tekhnologii, (3), 101 ‒ 105. [in Russian language]
3 Repina E. G. (2017). The problem of using Grubbs' criterion for outliers under exponential distribution law and Laplace distribution law. Vestnik Orenburgskogo gosudarstvennogo universiteta, 46(8), 149 ‒ 154. [in Russian language]
4 Shiryaeva L. K. (2010). Calculating the power measures of the Grubbs test for one outlier. Sibirskiy zhurnal industrial'noy matematiki, 44(4), 141 ‒ 154. [in Russian language]
5 Seregin N. G., Isaev V. G. (2019). Operation and maintenance of mechanical engineering products: textbook. Moscow: ASV. [in Russian language]
6 Orlov A. I. (2014). Nonparametric Kolmogorov-Smirnov goodness-of-fit tests, omegasquare and errors in their application. Politematicheskiy setevoy elektronnyy nauchnyy zhurnal Kubanskogo gosudarstvennogo agrarnogo universiteta, 97, 31 ‒ 45. [in Russian language]
7 Sinitsyn V. Yu., Stupakova E. S. (2022). An empirical study of the power of the Kolmogorov-Smirnov statistical criterion in problems of testing hypotheses about the distribution law. Vestnik RGGU. Seriya Informatika. Informatsionnaya bezopasnost'. Matematika, (3), 96 ‒ 120. [in Russian language]

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DOI: 10.14489/td.2025.06.pp.046-051

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