Recursive algorithm for seismic reliability evaluation of large scale lifeline system

This paper suggests a recursive decomposition form of system reliability structure function and establishes a recursive decomposition method for large-scale network seismic reliability analysis. Through analyzing the problem of real bound, it is proved that the lower bound of Bonferroni inequality, which embedded with the recursive decomposition algorithm, is the real limit of system reliability. Therefore, a new method of evaluating reliability of large system is presented. Some cases for study including the Shanghai water supply system show that the suggested method is of validity for large scale network system.