Algebraic Analysis of Variants of Multi-State k -out-of- n Systems

Patricia Pascual-Ortigosa and Eduardo Sáenz- de-Cabezón
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Patricia Pascual-Ortigosa: Departamento de Matemáticas y Computación, Universidad de La Rioja, 26006 Logroño, Spain
Eduardo Sáenz- de-Cabezón: Departamento de Matemáticas y Computación, Universidad de La Rioja, 26006 Logroño, Spain

Mathematics, 2021, vol. 9, issue 17, 1-15

Abstract: We apply the algebraic reliability method to the analysis of several variants of multi-state k -out-of- n systems. We describe and use the reliability ideals of multi-state consecutive k -out-of- n 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 k -out-of- n systems and show that this provides an efficient algorithms for the computation of their reliability.

Keywords: multi-state systems; k -out-of- n systems; algebraic reliability; monomial ideals (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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