Thanks for clarification. It depends on the scope and purpose of the analysis. You can find application of: ANN (e.g. http://www.cs.colostate.edu/~malaiya/p/karun92.pdf), Fuzzy Logic (e.g. http://www.hindawi.com/journals/jqre/2012/847416/), expert systems (https://www.researchgate.net/publication/226410472_The_reliability_prediction_of_electronic_packages__an_expert_systems_approach) and GA (http://ieeexplore.ieee.org/xpl/login.jsp?tp=&arnumber=5069339&url=http%3A%2F%2Fieeexplore.ieee.org%2Fxpls%2Fabs_all.jsp%3Farnumber%3D5069339) and so on.
Best
Leszek
Article The reliability prediction of electronic packages - An exper...
Anyway, try the Monte Carlo method based on calculating system signature, see for example, our book "models and Methods of Network REliability", CRC press.