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

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

Content Provider	MDPI
Author	Guo, Zhouxia Zhang, Jiandong Yan, Rongfang
Copyright Year	2020
Description	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 $t1$ is $r(\geq0)$ , but the system is still operating at time $t1$ , and the system eventually failed at time $t2(>t1)$ . 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.
Starting Page	2181
e-ISSN	22277390
DOI	10.3390/math8122181
Journal	Mathematics
Issue Number	12
Volume Number	8
Language	English
Publisher	MDPI
Publisher Date	2020-12-07
Access Restriction	Open
Subject Keyword	Mathematics Automotive Engineering Industrial Engineering Residual Lifetime Coherent System Periodical Inspection Signature Vector Stochastic Orders
Content Type	Text
Resource Type	Article

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