Algebraic reliability of multi-state k-out-of-n systems

Pascual-Ortigosa, Patricia, Saénz-De-Cabezón, Eduardo and Wynn, Henry P. ORCID: 0000-0002-6448-1080 (2021) Algebraic reliability of multi-state k-out-of-n systems. Probability in the Engineering and Informational Sciences, 35 (4). 903 - 927. ISSN 0269-9648

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Abstract

In this paper, we review different definitions that multi-state k-out-of-n systems have received along the literature and study them in a unified way using the algebra of monomial ideals. We thus obtain formulas and algorithms to compute their reliability and bounds for it. We provide formulas and computer experiments for simple and generalized multi-state k-out-of-n systems and for binary k-out-of-n systems with multi-state components.

Item Type:	Article
Official URL:	https://www.cambridge.org/core/journals/probabilit...
Additional Information:	© 2020 The Author(s)
Divisions:	Statistics
Subjects:	H Social Sciences > HA Statistics
Date Deposited:	17 Dec 2024 09:24
Last Modified:	17 Dec 2024 09:24
URI:	http://eprints.lse.ac.uk/id/eprint/126431

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