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Reliability analysis of consecutive n-1-out-of-n: G repairable systems with the multi-state component

SONG Yue;LIU San-yang,FENG Hai-lin

  

  1. (School of Science, Xidian Univ., Xi′an 710071, China)
  • Received:1900-01-01 Revised:1900-01-01 Online:2005-12-20 Published:2005-12-20

Abstract: A consecutive n-1-out-of-n: G repairable system is studied. It is assumed that the working time of the components in the system is exponentially distributed, that the repair time of the component in the system is continuously distributed, and that the components in the system are subject to two kinds of failure. The system is analyzed using the vector Markov process and Laplace transformantion. The exact formulas for the Laplace transformation of the system reliability and the systems mean time to the first failure are obtained.

Key words: systems, reliability, Markov process

CLC Number: 

  • O213.2