A C plus plus class for multi-state algebraic reliability computations

We present the design and implementation of a C++ class for reliability analysis of multi-state systems using an algebraic approach based on monomial ideals. The class is implemented within the open-source CoCoALib library and provides functions to compute system reliability and bounds. The algorithms we present may be applied to general systems with independent components having identical or non-identical probability distributions.

Automated summary

The study introduces a C++ class designed using an algebraic approach based on monomial ideals for reliability analysis of multi-state systems. It provides functions to compute system reliability and bounds, and can be applied to general systems with independent components having identical or non-identical probability distributions.