The behavior of non-identical and dependent standby components in a coherent system

Document Type : Research Paper

Authors

1 Department of Mathematics‎, ‎Marvdasht Branch‎, ‎Islamic Azad University‎, ‎Marvdasht‎, ‎Iran

2 Department of Statistics‎, ‎Faculty of Mathematics and Computer‎, ‎Shahid Bahonar University of Kerman‎, ‎Kerman‎, ‎Iran

Abstract

In this paper, a coherent system consisting of non-identical dependent active components and equipped with non-identical dependent standby components is considered. The main object of this study is the random quantity which account the number of surviving standby components when the system is failed. We represent the distribution function of the corresponding random variable in terms of system signature.

Keywords

Journal of Mahani Mathematical Research
Volume 4, Issue 2
August 2015
Pages 39-50

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History

  • Receive Date: 05 December 2016
  • Revise Date: 05 May 2017
  • Accept Date: 29 June 2017

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