The models of "Man-Machine-Environment" systems with recovery at non-classic stream of events

Authors

  • Ігор Володимирович Наумейко Kharkiv National University of Radio Electronics Lenina 14, Kharkov, Ukraine, 61166, Ukraine
  • Рази Джабурія Аль-Азава Kharkiv National University of Radio Electronics Lenina 14, Kharkov, Ukraine, 61166, Ukraine

DOI:

https://doi.org/10.15587/1729-4061.2013.12756

Keywords:

Markov chain, Kolmogorov equations, maximum entropy

Abstract

The closed “Man-machine-environment” system is considered. It has either classic flow of events, or a flow of unstable of natural disasters with different densities, that are approximated by piecewise constant functions. The process of liquidation of the accident in all the models is held in several stages, with different intensities. The phases can be made repeatedly in the case of "multi-catastrophes". The Markovian model is presented, in which the probability of changes in health of the operator in the process of liquidation of the accident is found using the principle of maximizing the information entropy.  The stability time of the process and the value of changing the dynamic model to stationary one are estimated. The safety criterion of situation that is the ratio of the average time between failures and mean time of recovery is introduced and investigated

Author Biographies

Ігор Володимирович Наумейко, Kharkiv National University of Radio Electronics Lenina 14, Kharkov, Ukraine, 61166

PhD, Associate Professor

Department of Applied Mathematics

Рази Джабурія Аль-Азава, Kharkiv National University of Radio Electronics Lenina 14, Kharkov, Ukraine, 61166

Postgraduate student

Department of Applied Mathematics

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Published

2013-04-25

How to Cite

Наумейко, І. В., & Аль-Азава, Р. Д. (2013). The models of "Man-Machine-Environment" systems with recovery at non-classic stream of events. Eastern-European Journal of Enterprise Technologies, 2(10(62), 55–58. https://doi.org/10.15587/1729-4061.2013.12756

Issue

Vol. 2 No. 10(62) (2013): Applied information technologies

Section

Applied Information Technology

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Copyright (c) 2014 Ігор Володимирович Наумейко, Рази Джабурія Аль-Азава

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