A Moments Compiler for Computing Bayes Intervals for Complex Systems

This paper develops algorithms and computer processable expressions for the practical computation of the moments of system reliability from the moments of the individual components. The linear (de)composition of structures is extended to an hierarchical (de)composition of reliability functions and moments. A computer processable expression of the system structure is presented for defining an arbitrary configuration of any size of multiple series, parallel, complete, and partial k-out-of-n:G modules.