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Reliability analysis for multi-state coherent system with monotonic components based on pivotal boundary points of clustering states
Received date: 2016-10-19
Revised date: 2017-02-26
Online published: 2017-04-19
Supported by
National Natural Science Foundation of China (U1333119,60979019,60572171,51605424,71601002);CAAC Science and Technology Project (MHRD201123,MHRD200908,MHRD0722);Natural Science Foundation of Jiangsu Province (BK20150455)
Considering the monotone and coherence of the multi-state system, the multiple discrete function theory is introduced to describe the structure function of system state. The logic approaches for the equivalence class of the component state which control the state vector of system are proposed, and the expressions for the state structure function, reliability and expected states are derived for the multi-state coherent system. To avoid the complexity of computation caused by the number of the state, the Demogen law and the new block diagram algorithm are developed to simplify the expression for the system reliability. An illustrative example of a certain type of aero engine verifies the effectiveness of the logic vector measure controlling the state equivalence class and the block diagram algorithm. It provides theoretical basis for reliability design and reliability management of system engineering.
ZHANG Yongjin , SUN Youchao , ZHANG Yanjun . Reliability analysis for multi-state coherent system with monotonic components based on pivotal boundary points of clustering states[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2017 , 38(8) : 220868 -220868 . DOI: 10.7527/S1000-6893.2017.220868
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