IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
Online ISSN : 1745-1337
Print ISSN : 0916-8508

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Number of Failed Components in Consecutive-k-out-of-n:G Systems and Their Applications in Optimization Problems
Lei ZHOUHisashi YAMAMOTO
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JOURNAL RESTRICTED ACCESS Advance online publication

Article ID: 2021EAP1042

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Abstract

In this paper, we study the number of failed components in a consecutive-k-out-of-n:G system. The distributions and expected values of the number of failed components when system is failed or working at a particular time t are evaluated. We also apply them to the optimization problems concerned with the optimal number of components and the optimal replacement time. Finally, we present the illustrative examples for the expected number of failed components and give the numerical results for the optimization problems.

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© 2021 The Institute of Electronics, Information and Communication Engineers
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