A C++ class for algebraic reliability computations

TL;DR

This paper introduces a C++ class within CoCoALib for algebraic reliability analysis of multi-state systems, enabling computation of system reliability and bounds using monomial ideals.

Contribution

It presents a novel C++ class implementation for reliability analysis based on algebraic methods, integrated into an open-source library.

Findings

Efficient computation of system reliability and bounds.

Applicable to systems with independent components with various distributions.

Open-source implementation available for broader use.

Abstract

We present the design and implementation of a \texttt{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 \verb|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.