Reliability Analysis Based on Markov Process for Repairable Systems

Article Preview

Abstract:

The problems of reliability and maintainability for repairable systems are investigated in this paper, and Markov process is employed to build the mathematical models of availability and reliability for the repairable systems. Firstly, the formulas of availability and reliability for single repairable systems are deduced. Then, the repairable system with two parallel components and one standby are investigated, which is common in engineering application. Finally, simple approaches are summarized for availability of complicated repairable systems. Since the two approaches has the same result, which provides theoretical proof for the study of repairable systems’reliability and availability.

You might also be interested in these eBooks

Info:

Periodical:

Pages:

241-244

Citation:

Online since:

June 2014

Export:

Price:

* - Corresponding Author

[1] Rausand M. System Reliability Theory: Models, Statistical Methods and Applications (Second Edition) [M]. New York: Wiley Press, (2001).

Google Scholar

[2] Guo Y J. Power System Reliability Analysis [M]. Beijing: Tsinghua University Press, (2003).

Google Scholar

[3] Wang Yong, Han Xueshan, Ding Ying. Markov Chain-Based Rapid Assessment on Operational Reliability of Power Grid[J]. Power System Technology, 2013, 37(2), 405-410. (in Chinese).

DOI: 10.1109/powercon.2012.6401316

Google Scholar

[4] Wang Liying, Cui Li-rong, Sun Haizhen. Modeling of Markov Repairable System with Multi-Operating Levels and its Performance Analysis[J]. Transactions of Beijing Institute of Technology, 2011, 31(1): 117-121. (in Chinese).

Google Scholar

[5] Chan J, Shaw L. Modeling Repairable Systems with Failure Rates that Depend on Age and Maintenance [J]. IEEE Transactions on Reliability, 1993, 42(4): 566-571.

DOI: 10.1109/24.273583

Google Scholar

[6] Nie Yazhuo, Zhou Buxiang, Lin Nan. Markov reliability algorithm for distribution network considering the alternative supply capacity limitation [J]. Power System Protection and Control, 2011, 39(13), 59-63. (in Chinese).

DOI: 10.1109/csss.2011.5972225

Google Scholar

[7] He Jinding, He Xingqi. Evaluation model of reliability for overhead transmission line with considerations of repairable multi-state[J]. Power System Protection and Control, 2010, 38(4), 11-14. (in Chinese).

Google Scholar