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On inactivity times of failed components of coherent system under double monitoring

Published online by Cambridge University Press:  11 May 2021

Zhouxia Guo
Affiliation:
College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, China. E-mail: [email protected]
Jiandong Zhang
Affiliation:
College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, China. E-mail: [email protected]
Rongfang Yan*
Affiliation:
College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, China. E-mail: [email protected]
*
*Corresponding author.

Abstract

This article discusses the stochastic behavior and reliability properties for the inactivity times of failed components in coherent systems under double monitoring. A mixture representation of reliability function is obtained for the inactivity times of failed components, and some stochastic comparison results are also established. Furthermore, some sufficient conditions are developed in terms of the aging properties of the inactivity times of failed components. Finally, some numerical examples are presented to illustrate the theoretical results.

Type
Research Article
Copyright
Copyright © The Author(s), 2021. Published by Cambridge University Press

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