Journal of Applied Reliability (한국신뢰성학회지:신뢰성응용연구)

The Korean Reliability Society (한국신뢰성학회)
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Reliability Analysis of Multi-Component System Considering Preventive Maintenance: Application of Markov Chain Model

예방정비를 고려한 복수 부품 시스템의 신뢰성 분석: 마코프 체인 모형의 응용

  • Kim, Hun Gil (Defense Agency for Technology and Quality) ;
  • Kim, Woo-Sung (School of Management & Economics, Handong Global University)
  • Received : 2016.09.05
  • Accepted : 2016.11.13
  • Published : 2016.12.25
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Abstract

Purpose: We introduce ways to employ Markov chain model to evaluate the effect of preventive maintenance process. While the preventive maintenance process decreases the failure rate of each subsystems, it increases the downtime of the system because the system can not work during the maintenance process. The goal of this paper is to introduce ways to analyze this trade-off. Methods: Markov chain models are employed. We derive the availability of the system consisting of N repairable subsystems by the methods under various maintenance policies. Results: To validate our methods, we apply our models to the real maintenance data reports of military truck. The error between the model and the data was about 1%. Conclusion: The models developed in this paper fit real data well. These techniques can be applied to calculate the availability under various preventive maintenance policies.

Keywords

References

  1. Na, S. R.(2011). "Reliability Analysis of Repairable Systems Considering Failure Detection Equipments". Korean Journal of Applied Statistics, Vol. 24, No. 3, pp. 515-521. https://doi.org/10.5351/KJAS.2011.24.3.515
  2. Ross, S. M. (1996). "Stochastic Processes". 2nd Edition. Wiley, New York.
  3. Azaron, A., Katagiri, H., Kato, K. and Sakawa, M. (2006). "Reliability evaluation of multi-component cold-standby redundant systems". Applied Mathematics and Computation, Vol. 173, No. 1, pp. 137-149. https://doi.org/10.1016/j.amc.2005.02.051
  4. Kim, D. H., Lee, S. H. and Lim, J. H. (2015). "Reliability analysis of multi-state parallel system with a multi-functional standby component". Journal of the Korea Industrial Information Systems Research, Vol. 20, No. 4, pp. 75-87. https://doi.org/10.9723/jksiis.2015.20.4.075
  5. Coit, D. W. and Liu, J. C. (2000). "System reliability optimization with k-out-of-n subsystems". International Journal of Reliability, Quality and Safety Engineering, Vol. 7, No. 2, pp. 129-142. https://doi.org/10.1142/S0218539300000110
  6. Guo, H. and Yang, X. (2008). "Automatic creation of Markov models for reliability assessment of safety instrumented systems". Reliability Engineering & System Safety, Vol. 93, No. 6, pp. 829-837. https://doi.org/10.1016/j.ress.2007.03.029
  7. Zhang, T., Long, W. and Sato, Y. (2003). "Availability of systems with self-diagnostic components-applying Markov model to IEC 61508-6". Reliability Engineering & System Safety, Vol. 80, No. 2, pp. 133-141. https://doi.org/10.1016/S0951-8320(03)00004-8
  8. Tirkel, I. (2013). "The effectiveness of variability reduction in decreasing wafer fabrication cycle time". In Proceedings of the 2013 Winter Simulation Conference: Simulation: Making Decisions in a Complex World, pp. 3796-3805.
  9. Sherwin, D. J. (2000). "Steady-state desires availability". IEEE Transactions on Reliability, Vol. 49, No. 2, pp. 131-132. https://doi.org/10.1109/24.877327
  10. Defense Agency for Technology and Quality (2011). Defense Science Technology Terminology Dictionary.