Applications

Reliability modeling is a useful technique for scientists and engineers to abstract the dynamic behavior of computer and communications, aerospace, nuclear and similar systems in order to predict its reliability. These methods can help compare design alternatives or to find bottlenecks. The following examples show how these techniques can be applied in different situations, and how measures of interests such as reliability and mean-time to failure (MTTF) can be derived. The following examples are drawn from the blue book  
There are many more reliability modeling examples in chapters 1,3,4,6 and 8 of the blue book.