Reliability Analysis Based on Markov Process for Repairable Systems

Author:

Li Xiao Quan1,Li Run Ling2,Xie Yi Jing1

Affiliation:

1. Air Force Engineering University Air and Missile Defense College

2. Beijing Keeven Avation Instrument Co. Lid.

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.

Publisher

Trans Tech Publications, Ltd.

Reference7 articles.

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

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).

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).

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.

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