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

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  • Maryam Kelkinnama
  • Hamed Lorvand

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.

Suggested Citation

  • Maryam Kelkinnama & Hamed Lorvand, 2025. "Reliability analysis and optimal replacement for a k-out-of-n system with various components subject to shocks," Journal of Risk and Reliability, , vol. 239(4), pages 693-702, August.
    • Handle: RePEc:sae:risrel:v:239:y:2025:i:4:p:693-702
    DOI: 10.1177/1748006X241279481
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