A Hierarchical Reduced Markov Model for Reliability Evaluation of Phased-Mission Systems

Hua Yan¹, Pu Long Cui*¹, Yi Sheng Wang¹, Bi Xing Li², Fei Wan¹ and De Li¹

Received: November 23, 2018;   Published: November 30, 2018

DOI: 10.26717/BJSTR.2018.11.002128

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Abstract

This paper presents a reduced Markov model to evaluate the Phased-Mission System (PMS) reliability. The time cost and storage requirement are very huge using traditional Markov model to analyze the reliability of PMS as the number of components increases to a large scale. The hierarchical reduction approach proposed in this paper can account for the PMS which is composed of different level components. Such as thrust equipment of an aircraft can be further decomposed into compressor and turbine runner. The reduced Markov model by hierarchical reduction will have a smaller number of system states than the traditional model. Finally, the effectiveness and correctness of our approach is analyzed by comparing with the traditional Markov method.