Analysis of algorithm for estimating distribution functions of random variables for the prediction of technogenic risk

Authors

  • Петро Андрійович Вавулін National Technical University of Ukraine «Kyiv Polytechnic Institute», 03056, Kyiv, Prospect Peremogy 37, Ukraine https://orcid.org/0000-0001-7299-2262
  • Тетяна Владиславівна Бойко National Technical University of Ukraine «Kyiv Polytechnic Institute», 03056, Kyiv, Prospect Peremogy 37, Ukraine https://orcid.org/0000-0002-9710-8055

DOI:

https://doi.org/10.15587/2312-8372.2016.66754

Keywords:

technogenic risk, prediction, genetic algorithms, simulation modeling, quantitative risk assessment

Abstract

An algorithm for estimating distribution functions of random variables for the prediction of technogenic risk is described. This algorithm is based on the use of three methods: Monte Carlo method, index method and the method based on the elements of reliability theory, and for obtaining and normalization of source data and at genetic algorithms and methods for determining the distribution function of the random variable. The use of these methods in the present combination allows avoiding the problems associated with the uncertainty of the source data and solves the problem of predicting the reliability of complex technical systems in their operation.

It is also considered an example of the failure probability function of the technical system in time. The nominal value of the failure probability of individual elements of the system is calculated by the index method (calculation by the index method includes all components of technogenic risk associated with the conditions of operation). It avoids the problem of uncertainty of source data for technogenic risk calculation of all systems. The calculated probability is the input for the Monte Carlo method and the probabilistic method. The calculations in the time interval allow determining the function which characterizes the failure probability density of the technical system in time.

The results of researches are the failure probability functions in time for the turbofan engine. Verification of the results by comparing the available reliable data on the reliability of the turbofan engine was carried out to test the adequacy of the developed algorithm. Verification show that the results are valid, and the algorithm can be used to calculation and prediction of technogenic risk of industrial facilities during the operational phase.

Author Biographies

Петро Андрійович Вавулін, National Technical University of Ukraine «Kyiv Polytechnic Institute», 03056, Kyiv, Prospect Peremogy 37

Graduate student

Department of Cybernetics of Chemical Technology Processes

Тетяна Владиславівна Бойко, National Technical University of Ukraine «Kyiv Polytechnic Institute», 03056, Kyiv, Prospect Peremogy 37

Candidate of Technical Sciences, Associate Professor, Acting Head of Department

Department of Cybernetics of Chemical Technology Processes

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Published

2016-03-29

How to Cite

Вавулін, П. А., & Бойко, Т. В. (2016). Analysis of algorithm for estimating distribution functions of random variables for the prediction of technogenic risk. Technology Audit and Production Reserves, 2(3(28), 17–23. https://doi.org/10.15587/2312-8372.2016.66754

Issue

Vol. 2 No. 3(28) (2016): Systems and Control Processes. Information and Control Systems. Technology Transfer in the Transport Industry

Section

Systems and Control Processes: Original Research

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Copyright (c) 2016 Петро Андрійович Вавулін, Тетяна Владиславівна Бойко

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