Journal of Korea Society of Industrial Information Systems (한국산업정보학회논문지)

Korea Society of Industrial Information Systems (한국산업정보학회)
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Reliability analysis of multi-state parallel system with a multi-functional standby component

다기능 대기부품을 갖는 다중상태 병렬시스템의 신뢰도 분석

  • 김동현 (충남대학교 정보통계학과) ;
  • 이석훈 (충남대학교 정보통계학과) ;
  • 임재학 (한밭대학교 경영회계학과)
  • Received : 2015.06.13
  • Accepted : 2015.08.20
  • Published : 2015.08.30
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Abstract

A redundant structure typically consists of primary component and standby component taking over the function of the primary component when the primary component fails. In this research, we consider a redundant structure in which a standby component can take over the function of more than one primary component when primary components fail. And we assume that the system has multi-state according to the states of components while all components have two states. This system is called as the multi-state redundant system with a multi-functional standby component. This type of redundant structure is frequently adapted by the system such as an aircraft in which the weight is an important design factor. In this paper, we propose new reliability model for this multi-state redundant system with a multi-functional standby component in order for evaluating the reliability of the system. Under the assumption that all components have constant failure rate, we evaluate the reliability of the system by applying Markov analysis method. And we investigate the effect of the multi-functional standby component by comparing reliabilities of the parallel system with multi-functional standby component and a simple parallel system and a parallel system with redundant structure.

중복시스템의 일반적인 구조는 기능을 수행하는 주요부품과 주요부품이 고장 나는 경우에 그 기능을 대신 수행하는 대기부품으로 구성되어 있다. 본 연구에서는 하나의 대기부품이 여러 개의 주요부품의 기능을 동시에 대신 수행할 수 있는 다기능 대기부품을 갖는 병렬시스템을 고려한다. 이 시스템을 구성하고 있는 모든 부품들은 작동상태와 고장상태만 갖는 반면 시스템은 구성 부품들의 상태에 따라 다중 상태를 갖는 것을 가정한다. 이러한 중복구조는 항공기와 같이 시스템의 중량이 중요한 요소인 시스템에서 많이 채택되고 있는 구조이다. 본 연구에서는 이와 같은 중복시스템의 신뢰도를 평가하기 위한 새로운 신뢰도모델링 기법을 제안하고 부품들이 상수고장률을 갖는 경우 마코프 분석 방법을 적용하여 시스템의 신뢰도를 구한다. 또한 본 연구에서 고려하고 있는 시스템과 기존에 이미 알려진 병렬시스템과 중복구조를 갖는 병렬시스템의 신뢰도를 비교하여 다기능 대기부품의 효과를 분석한다.

Keywords

References

  1. "MIL-HDBK-338B : Electronic reliability design handbook", Fort Belvoir, VA: Defense Quality and Standardization Office, 1998.
  2. T. Nakagawa and S. Osaki, "Stochastic behavior of a two unit priority standby redundant system with repair", Microelectronics Reliability, Vol. 14, Issue 3, pp. 309-313, 1975. https://doi.org/10.1016/0026-2714(75)90708-8
  3. R. S. Naidu and M. N. Gopalan, "Cost benefit analysis of a one-server two-unit warm standby system subject to different inspection strategies", Microelectronics Reliability, Vol. 21, Issue 3, pp. 121-128, 1983.
  4. A. Azaron, H. Katagiri, K. Kato and M. Sakawa, "Reliability evaluation of multicomponent cold standby redundant systems", Applied Mathematics and Computation, Vol. 173, Issue 1, pp. 137-149, 2006. https://doi.org/10.1016/j.amc.2005.02.051
  5. M. A. El-Damcese and A. N. Helmy, "Study of reliability with mixed standby components", Application and Applied Mathematics, Vol. 7, Issue 2, pp. 672-690, 2012.
  6. M. Manglik and M. Ram, "Reliability analysis of a two unit cold standby system using Markov process", Journal of Reliability and Statistical Studies, Vol. 6, Issue 3, pp. 65-80, 2013.
  7. J. H. Lim, "The estimation of the coverage probability in a redundant system with a control module", Journal of the Korea Industrial Information Systems Research, Vol. 12, No. 1, pp. 80-86, 2007.
  8. K. T. Yang, "A study on the reliability of S/W during the developing stage", Journal of the Korea Industrial Information Systems Research, Vol. 14, No. 5, pp. 61-73, 2009.
  9. J. K. Joe, "Evaluation of uncertainty importance measure by experimental method in fault tree analysis", Journal of the Korea Industrial Information Systems Research, Vol. 14, No. 5, pp. 187-195, 2009.
  10. W. Y. Yoon, G. E. Park and Y. J. Han, "Simulation based design of reliability and maintainability for a multi-functional complex system", Proceedings of 24th cyber conference B10-special issue, Defense OR2, November 1, 2012, Seoul, pp. 1005-1012, Korean Operations Research and Management Science Society.
  11. T. F. Hassett, D. L. Dietrich and F. Szidarovsky, "Time varying failure rates in the availability and reliability analysis of repairable systems", IEEE Transaction on Reliability, Vol. 44, No. 1, pp. 155-160, 1995. https://doi.org/10.1109/24.376543
  12. M. Sharifi, S. B. Mishamandani and S. H. Zadeh, "Real time redundancy study of a time dependent failure rates model", Proceedings of the 2nd International Conference on Applied Operational Research, August 25-27, 2010, Turku, Finland, pp. 448-454, IMASR.
  13. A. Lisnianski, I. Frenkel and Y. Ding, "Multi-state system reliability analysis and optimization for engineers and industrial managers", London: Springer, 2010.
  14. B. Natvig, "Multi-state coherent systems", New York, NY: John Wiley & Sons, 1985.
  15. M. Ram, "Reliability measures of a threestate complex system : A Copula approach", Applications and Applied Mathematics, Vol. 5, Issue 2, pp. 386-395, 2010.
  16. U. A. Ali, N. I. Bala and I. Yusuf, "Reliability analysis of a two dissimilar unit cold standby system with three modes using Kolmogorov forward equation method", Nigerian Journal of Basic and Applied Sciences, Vol. 21, Issue 3, pp. 197-206, 2013. https://doi.org/10.4314/njbas.v21i3.5
  17. M. A. El-Damcese and N. S. Temraz, "Availability and reliability measures for multi-state system by using Markov reward model", Reliability: Theory & Applications, Vol. 2, No. 3, pp. 68-85, 2011.

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