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

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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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Acknowledgements

The authors would like to thank the editor and two anonymous reviewers for their constructive comments and suggestions, which improved the quality of the paper. This research was supported by a grant from Ferdowsi University of Mashhad; No 2/47517.

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  1. Department of Statistics, Ferdowsi University of Mashhad, 1159, Mashhad, 91775, Iran

    Zohreh Pakdaman & Jafar Ahmadi

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  1. Zohreh Pakdaman
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  2. Jafar Ahmadi
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Correspondence to Jafar Ahmadi.

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Pakdaman, Z., Ahmadi, J. Switching time of the standby component to the k-out-of-n:G system in the stress–strength setup. Metrika 82, 225–248 (2019). https://doi.org/10.1007/s00184-018-0694-8

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  • DOI: https://doi.org/10.1007/s00184-018-0694-8

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