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

Authors
  • Pakdaman, Zohreh1
  • Ahmadi, Jafar1
  • 1 Ferdowsi University of Mashhad, Department of Statistics, Mashhad, 91775, Iran , Mashhad (Iran)
Type
Published Article
Journal
Metrika
Publisher
Springer Berlin Heidelberg
Publication Date
Nov 08, 2018
Volume
82
Issue
2
Pages
225–248
Identifiers
DOI: 10.1007/s00184-018-0694-8
Source
Springer Nature
Keywords
License
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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.

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