Stable Coherent Systems
Commutative Algebra
2024-06-04 v1
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.
Cite
@article{arxiv.2406.00829,
title = {Stable Coherent Systems},
author = {Rodrigo Iglesias and Fatemeh Mohammadi and Patricia Pascual-Ortigosa and Eduardo Sáenz-de-Cabezón and Henry P. Wynn},
journal= {arXiv preprint arXiv:2406.00829},
year = {2024}
}