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.

Авторы
Rykov V. 1, 2, 3 , Ivanova N. 1, 4
Язык
Английский
Страницы
269-274
Статус
Опубликовано
Год
2023
Организации
  • 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
Ключевые слова
k-out-of-n model; reliability and sensitivity analysis; arbitrary repair time distribution; quick recovery
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