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The Residual Lifetime of Surviving Components of Coherent System under Periodical Inspections

Zhouxia Guo (), Jiandong Zhang () and Rongfang Yan ()
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Zhouxia Guo: College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, China
Jiandong Zhang: College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, China
Rongfang Yan: College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, China

Mathematics, 2020, vol. 8, issue 12, 1-18

Abstract: In this manuscript, we gain a mixture representation for reliability function of the residual lifetime of unfailed components in a coherent system under periodical inspections, given that the number of failed components before time t 1 is r ( ≥ 0 ) , but the system is still operating at time t 1 , and the system eventually failed at time t 2 ( > t 1 ) . Some aging properties and stochastic orders of the residual lifetime on survival components are also established. Finally, some numerical examples and graphs are given in order to confirm the theoretical results.

Keywords: residual lifetime; coherent system; periodical inspection; signature vector; stochastic orders (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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