Application of Markov chain in researching the redundancy system’s reliability
Bo Xin · Journal of Chinese Inertial Technology · 2007
The reliability degree of the redundancy system was studied. The changing of the reliability degree with time was plotted when a single-IFOG reliability degree adopted different values. The signification of the graph of the redundancy system reliability degree was analyzed. The analysis result provided important information for the research of the IFOG inertia measure redundancy system reliability. The result gave reliable information for the cost estimate. The instruments’ redundancy design was a usual method to improve the system reliability. It was difficult to affirm the redundancy relation and search the reliability degree of a complex redundancy system. Markov model was an effective method. The redundancy relation of a complex FOG inertia measure redundancy system was analyzed and confirmed. The basic principle of Markov model was introduced. The condition of Markov model application was discussed. The state transfer figure and state transfer matrix of the redundancy system was established by Markov model. At last, the paper gives the analytic expression of the redundancy system reliability, and quantitatively calculates the reliability.