Reliability Analysis of a k-out-of-n System in Case of Full Repair After Its Failure

The paper focuses on the investigation of a k-out-of-n system in case of full repair after its failure. The reliability analysis, including the calculation of time-dependent and steady-state system characteristics, is considered. It is assumed that components' lifetime is exponentially distributed, and the repair time has an arbitrary distribution. The closed-form representation of system steady-state probabilities in terms of the Laplace transform of components' repair time is shown.

Authors
Publisher
Российский университет дружбы народов (РУДН)
Language
English
Pages
345-351
Status
Published
Year
2022
Organizations
  • 1 RUDN University
  • 2 V.A.Trapeznikov Institute of Control Sciences of Russian Academy of Sciences
Keywords
k-out-of-n system; reliability analysis; markovization method; steady state probabilities; sensitivity analysis; rare failures
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