| The theory of mathematical reliability dated from 1930's which had been used in the area of mechanical proof and maintenance at the very beginning. Another important application of this theory was to apply the question of updating to the question of replacement. In 1930's, the pioneers, Weibull, Gong Bell and Epstein, had done the research about the fatigue life of materials and the relative problem of extremum. After the World Warâ…¡, the question of reliability had been focused more, and this question was used to solve the systematic problems in daily life as the improvement of military technology. since 1950's, the subject of reliability has been developing rapidly and getting rich experiences in different areas. The application of reliability theory is now extends from military technology to all areas of national economy.The reliability, mean life, importance of the subsystem are the essential indicators of system reliability evaluating, but in the region of aerospace we focus on mean life more than any other indicators. Now, the life expectancy of the system has been taken more serious in everyday life.Several questions had been investigated as follows:Firstly, intrducting the basic knowledge of the complex system and the methods for describing complex system, which also introduce the conception of minimum path matrix and minimal cut set matrix as well as the relative theory about the analytical expression of reliability.Secondly, for the complex system whose every subsystem life having exponential distribution, the mean life of it is given by using function of complex system reliability. Estimation of the system mean life are presented under complete datum as well as censored datum. Furthermore, we prove the asymptotic normality of complex system reliability under complete datum condition.At last, for the complex system whose every subsystem life having general distribution, the estimation of the complex system is given and the properties are studied. |
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