On Reliability Function of a k-out-of-n Model in Case of Quick Recovery of its Components

In some previous works, closed-form representations for reliability characteristics of k-out-of-n model with an exponential distribution of components lifetime and arbitrary distribution of their repair time have been found. In that investigation, the markovization method was applied for calculation of the main reliability characteristics. In the recent paper, reliability function is considered for a repairable k-out-of-n model in the same assumptions about life and repair time distributions. The problem of its sensitivity in case of quick recovery of system's components is discussed on an example of 2-out-of-n model. It is shown that the reliability function in scale of its mean time to failure is asymptotically exponential.

Authors
Rykov V. 1, 2, 3 , Ivanova N. 1, 4
Language
English
Pages
269-274
Status
Published
Year
2023
Organizations
  • 1 Peoples' Friendship University of Russia (RUDN University)
  • 2 Gubkin Russian State Oil and Gas University
  • 3 Institute for Transmission Information Problems (named after A.A. Kharkevich) RAS
  • 4 V.A.Trapeznikov Institute of Control Sciences of Russian Academy of Sciences
Keywords
k-out-of-n model; reliability and sensitivity analysis; arbitrary repair time distribution; quick recovery
Date of creation
01.07.2024
Date of change
01.07.2024
Short link
https://repository.rudn.ru/en/records/article/record/111614/
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