Markov Theoretical Estimate Multi-state Consecutive-k-out-of-n:F System Reliability

The paper focuses on the first question is to use Markov transition prob-ability matrix to analyse and estimate the reliability of components,a system in operation for a period of time,in what state Mainly depends on the state of the component,so the reliability of components is estimated that is a necessary condition for security systems work properly.the maximum likelihood method es-timate the Markov transition probabilities,and then The transition probability estimate the reliability of components,and calculate the components of some of the special status Such as components for the first time the probability of failure, the component probability of failure prior to the T time.The second question,the theory of Markov analyze consecutive-k-out-of-n system reliability, the main considerations that the system is the component failure rate A and the repair rate μ,consecutive-k-out-of-n system is defined to determine the Markov transition probability matrix,based on the Markov transition matrix to calculate the transfer rate matrix,the Markov theoretical calculate system reliability,system failure rate and the mean time before first failure of the system to reach steady-state.