Compatibility algorithm on joint importance

Joint importance refers to the evaluation of the safety of the different combinations in a system. The JFI of pairs of components introduced by Hong & Lie,it is more useful for making this kind of tradeoff, since it indicates how components interact in determining system reliability. While the previous evaluation algorithm just focused on the structure of the system, neglecting the feature of reliability it has. we tried to put forward a compatibility algorithm - Joint Criticality Importance, which can both reflect the structural characteristics of the system and contain the reliability of the basic event itself what is more, with this algorithm, we can calculate the importance of the events in the same system. By comparative analysis of the different algorithms, we have tested and verified the rationality and validity of this algorithm.