Stable Coherent Systems

Fuente: arXiv
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Autores principales: Iglesias, Rodrigo, Mohammadi, Fatemeh, Pascual-Ortigosa, Patricia, Sáenz-de-Cabezón, Eduardo, Wynn, Henry P.
Formato: Preprint
Publicado: 2024
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author Iglesias, Rodrigo
Mohammadi, Fatemeh
Pascual-Ortigosa, Patricia
Sáenz-de-Cabezón, Eduardo
Wynn, Henry P.
author_facet Iglesias, Rodrigo
Mohammadi, Fatemeh
Pascual-Ortigosa, Patricia
Sáenz-de-Cabezón, Eduardo
Wynn, Henry P.
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2406_00829
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Stable Coherent Systems
Iglesias, Rodrigo
Mohammadi, Fatemeh
Pascual-Ortigosa, Patricia
Sáenz-de-Cabezón, Eduardo
Wynn, Henry P.
Commutative Algebra
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.
title Stable Coherent Systems
topic Commutative Algebra
url https://arxiv.org/abs/2406.00829