Reliability analysis and optimal replacement for a k-out-of-n system with various components subject to shocks

Maryam Kelkinnama and Hamed Lorvand

Journal of Risk and Reliability, 2025, vol. 239, issue 4, 693-702

Abstract: Consider a k -out-of- n system consisting of L types of components, L=1,2,…,n such that the number of components of the l th type is n l , l=1,2,…,L . Let this system is exposed to external shocks, and each entered shock may fail some components of the system. The system fails when at least n-k+1 components fail. In this paper, we study the reliability of this system under a shock model. In addition to reliability analysis, we investigate a preventive maintenance policy for this system to reduce abrupt failures. Numerical examples are also provided to illustrate theoretical achievements.

Keywords: Reliability function; k-out-of-n system; shock model; preventive maintenance (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:sae:risrel:v:239:y:2025:i:4:p:693-702

DOI: 10.1177/1748006X241279481

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