Stable Coherent Systems

TL;DR

This paper introduces the concept of stable coherent systems to improve system reliability analysis, providing a framework that leverages algebraic methods for efficient computation of reliability metrics.

Contribution

It defines stable coherent systems and demonstrates their utility in designing reliable systems with efficient algebraic reliability calculations.

Findings

Stable coherent systems can be reliably analyzed using algebraic inclusion-exclusion formulas.

The framework facilitates the design of systems with guaranteed redundancy and stability.

Efficient computation methods improve reliability assessment in complex systems.

Abstract

We describe the notion of stability of coherent systems as a framework to deal with redundancy. We define stable coherent systems and show how this notion can help the design of reliable systems. We demonstrate that the reliability of stable systems can be efficiently computed using the algebraic versions of improved inclusion-exclusion formulas and sum of disjoint products.