Taking into account type I and II errors of switching device for system with hot redundancy

Authors

DOI:

https://doi.org/10.15587/2312-8372.2015.51357

Keywords:

reliability model, dynamic fault tree, hot redundancy, switching device

Abstract

One of the ways to improve the reliability of technical systems is the use of hot redundancy. Switching between the main and reserve elements makes switching device. When analyzing the reliability of such systems it is important to consider the impact of switching device on the reliability of the system. This influence is evident in the mistakes of the first and second kind that is the wrong switch or switching time of admission. Both errors reduce reliability of the system and lead to underutilization of resources. It is proposed a model of reliability of duplicated system with hot redundancy and imperfect switching device to determine the likelihood of its success. The peculiarity of the model is that it adequately takes into account type I and II errors for the switching device. Reliability of the system is described mathematically by the k-terminal dynamic fault tree, and the probability determined by the characteristics of homogeneous Markov model. It is quantitatively shown how increasing options that meet these errors, reduces the probability of failure of the system.

Author Biographies

Ірина Ігорівна Москвіна, Berdyansk State Pedagogical University, st. Schmidt 4, Berdyansk, Ukraine, 71100

Candidate of Technical Science, Assistant Professor

Department of teaching of physical and mathematical sciences and information technology in education

Тетяна Олександрівна Стефанович, Lviv Polytechnic National University, Str. Bandera 12, Lviv, Ukraine, 79013

Candidate of Technical Science, Assistant Professor

Design and Maintenance of Machinery Department

Сергій Володимирович Щербовських, Lviv Polytechnic National University, Str. Bandera 12, Lviv, Ukraine, 79013

Doctor of Technical Sciences, Senior Researcher

DB/TRIKAF research group

References

  1. Druzhinin, G. V. (1977). Reliability of automated systems. Moscow: ENERGY, 536.
  2. Abouei Ardakan, M., Zeinal Hamadani, A. (2014, October). Reliability optimization of series–parallel systems with mixed redundancy strategy in subsystems. Reliability Engineering & System Safety, Vol. 130, 132–139. doi:10.1016/j.ress.2014.06.001
  3. Ushakov, I. A. (2008). Course of systems reliability theory. Moscow: Drofa, 239.
  4. Bohatirov, V. A., Bashkova, S. A., Bazzubov, V. F., Polyakova, A. V., Kotelnikova, Ye. Yu., Holubev, I. Yu. (2011). Reliability of redundant computing systems. Scientific and Technical Journal of St. Petersburg State University of Information Technology, Mechanics and Optics, 6 (76), 76–80.
  5. Volochy, B. (2004). Simulation technology of algorithms of information systems behavior. Lviv: Lviv Polytechnic Press, 219.
  6. Zamalieva, D., Yilmaz, A., Aldemir, T. (2013, December). A probabilistic model for online scenario labeling in dynamic event tree generation. Reliability Engineering & System Safety, Vol. 120, 18–26. doi:10.1016/j.ress.2013.02.028
  7. Zamalieva, D., Yilmaz, A., Aldemir, T. (2013, February). Online scenario labeling using a hidden Markov model for assessment of nuclear plant state. Reliability Engineering & System Safety, Vol. 110, 1–13. doi:10.1016/j.ress.2012.09.002
  8. Manno, G., Chiacchio, F., Compagno, L., Urso, D. D’, Trapani, N. (2014, January). Conception of Repairable Dynamic Fault Trees and resolution by the use of RAATSS, a Matlab® toolbox based on the ATS formalism. Reliability Engineering & System Safety, Vol. 121, 250–262. doi:10.1016/j.ress.2013.09.002
  9. Codetta-Raiteri, D. (2011, May). Integrating several formalisms in order to increase Fault Trees’ modeling power. Reliability Engineering & System Safety, Vol. 96, № 5, 534–544. doi:10.1016/j.ress.2010.12.027
  10. Mandziy, B., Lozynsky, O., Shcherbovskykh, S. (2013). Mathematical model for failure cause analysis of electrical systems with load-sharing redundancy of component. Przeglad Elektrotechniczny, Vol. 89, № 11, 244–247.
  11. Shcherbovskykh, S., Lozynsky, O., Marushchak, Ya. (2011). Failure intensity determination for system with standby doubling. Przeglad Elektrotechniczny, Vol. 87, № 5, 160–162.
  12. Shcherbovskykh, S. (2012). Mathematical models and methods for determining reliability characteristics of k-terminal systems with load-sharing taking into account. Lviv: Lviv Polytechnic Press, 296.

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Published

2015-09-22

How to Cite

Москвіна, І. І., Стефанович, Т. О., & Щербовських, С. В. (2015). Taking into account type I and II errors of switching device for system with hot redundancy. Technology Audit and Production Reserves, 5(2(25), 54–59. https://doi.org/10.15587/2312-8372.2015.51357

Issue

Vol. 5 No. 2(25) (2015): Information technologies. Mathematical modeling

Section

Mathematical Modeling: Original Research

License

Copyright (c) 2016 Ірина Ігорівна Москвіна, Тетяна Олександрівна Стефанович, Сергій Володимирович Щербовських

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