Switching time of the standby component to the k-out-of-n:G system in the stress–strength setup

Zohreh Pakdaman and Jafar Ahmadi ()
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Zohreh Pakdaman: Ferdowsi University of Mashhad
Jafar Ahmadi: Ferdowsi University of Mashhad

Metrika: International Journal for Theoretical and Applied Statistics, 2019, vol. 82, issue 2, No 5, 225-248

Abstract: Abstract This paper deals with the reliability of a k-out-of-n:G system in the stress–strength setup with three different types (cold, warm or hot) of standby components. The switching time of the standby component to the k-out-of-n:G stress–strength system has been studied and how its effect on the stress–strength reliability and costs have been assessed. By taking into account the switching time of the standby component, some expressions for the stress–strength reliability and the mean remaining strength functions are obtained. The results for exponential and Weibull distributions are given in detail and the optimal time to activate the standby components to the working state is investigated.

Keywords: Stress–strength reliability; Mean remaining strength; Standby component; Stochastic order; Primary 62N05; Secondary 62F10 (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (1)

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DOI: 10.1007/s00184-018-0694-8

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