Algebraic Analysis of Variants of Multi-State <i>k</i>-out-of-<i>n</i> Systems

Algebraic Analysis of Variants of Multi-State <i>k</i>-out-of-<i>n</i> Systems

We apply the algebraic reliability method to the analysis of several variants of multi-state <i>k</i>-out-of-<i>n</i> systems. We describe and use the reliability ideals of multi-state consecutive <i>k</i>-out-of-<i>n</i> systems with and without spars...

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Main Authors: Patricia Pascual-Ortigosa, Eduardo Sáenz-de-Cabezón
Format: Article
Language:English
Published: MDPI AG 2021-08-01
Series:Mathematics
Subjects:
multi-state systems
<i>k</i>-out-of-<i>n</i> systems
algebraic reliability
monomial ideals
Online Access:https://www.mdpi.com/2227-7390/9/17/2042
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spelling doaj-ff10088678bf4e9089631748a1bfed412021-09-09T13:52:10ZengMDPI AGMathematics2227-73902021-08-0192042204210.3390/math9172042Algebraic Analysis of Variants of Multi-State <i>k</i>-out-of-<i>n</i> SystemsPatricia Pascual-Ortigosa0Eduardo Sáenz-de-Cabezón1Departamento de Matemáticas y Computación, Universidad de La Rioja, 26006 Logroño, SpainDepartamento de Matemáticas y Computación, Universidad de La Rioja, 26006 Logroño, SpainWe apply the algebraic reliability method to the analysis of several variants of multi-state <i>k</i>-out-of-<i>n</i> systems. We describe and use the reliability ideals of multi-state consecutive <i>k</i>-out-of-<i>n</i> systems with and without sparse, and show the results of computer experiments on these kinds of systems. We also give an algebraic analysis of weighted multi-state <i>k</i>-out-of-<i>n</i> systems and show that this provides an efficient algorithms for the computation of their reliability.https://www.mdpi.com/2227-7390/9/17/2042multi-state systems<i>k</i>-out-of-<i>n</i> systemsalgebraic reliabilitymonomial ideals
collection DOAJ
language English
format Article
sources DOAJ
author Patricia Pascual-Ortigosa
Eduardo Sáenz-de-Cabezón
spellingShingle Patricia Pascual-Ortigosa
Eduardo Sáenz-de-Cabezón
Algebraic Analysis of Variants of Multi-State <i>k</i>-out-of-<i>n</i> Systems
Mathematics
multi-state systems
<i>k</i>-out-of-<i>n</i> systems
algebraic reliability
monomial ideals
author_facet Patricia Pascual-Ortigosa
Eduardo Sáenz-de-Cabezón
author_sort Patricia Pascual-Ortigosa
title Algebraic Analysis of Variants of Multi-State <i>k</i>-out-of-<i>n</i> Systems
title_short Algebraic Analysis of Variants of Multi-State <i>k</i>-out-of-<i>n</i> Systems
title_full Algebraic Analysis of Variants of Multi-State <i>k</i>-out-of-<i>n</i> Systems
title_fullStr Algebraic Analysis of Variants of Multi-State <i>k</i>-out-of-<i>n</i> Systems
title_full_unstemmed Algebraic Analysis of Variants of Multi-State <i>k</i>-out-of-<i>n</i> Systems
title_sort algebraic analysis of variants of multi-state <i>k</i>-out-of-<i>n</i> systems
publisher MDPI AG
series Mathematics
issn 2227-7390
publishDate 2021-08-01
description We apply the algebraic reliability method to the analysis of several variants of multi-state <i>k</i>-out-of-<i>n</i> systems. We describe and use the reliability ideals of multi-state consecutive <i>k</i>-out-of-<i>n</i> systems with and without sparse, and show the results of computer experiments on these kinds of systems. We also give an algebraic analysis of weighted multi-state <i>k</i>-out-of-<i>n</i> systems and show that this provides an efficient algorithms for the computation of their reliability.
topic multi-state systems
<i>k</i>-out-of-<i>n</i> systems
algebraic reliability
monomial ideals
url https://www.mdpi.com/2227-7390/9/17/2042
work_keys_str_mv AT patriciapascualortigosa algebraicanalysisofvariantsofmultistateikioutofinisystems
AT eduardosaenzdecabezon algebraicanalysisofvariantsofmultistateikioutofinisystems
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