Reliability of a coherent system equipped with two cold standby components

Achintya Roy () and Nitin Gupta ()
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Achintya Roy: Indian Institute of Technology Kharagpur
Nitin Gupta: Indian Institute of Technology Kharagpur

Metrika: International Journal for Theoretical and Applied Statistics, 2020, vol. 83, issue 6, No 3, 677-697

Abstract: Abstract In this paper, we focus on a particular type of coherent system which may fail either on the failure of its first component or on the failure of its second component. We investigate the renewal of such a coherent system using two cold standby components. We obtain the reliability function of the considered coherent system which is equipped with two cold standby components. We study the problem to optimize the reliability of the system. Some stochastic ordering results are also presented. Examples are provided to illustrate the theoretical results presented in this study. Our results subsume some of the earlier results in the literature.

Keywords: Reliability; Coherent system; Standby redundancy; Signature; Stochastic ordering (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (1)

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DOI: 10.1007/s00184-019-00752-3

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