Reliability Analysis of a Load-Sharing <i>k</i>-out-of-<i>n</i> System Due to Its Components’ Failure

The reliability characteristics of a <i>k</i>-out-of-<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>n</mi><mo>:</mo><mi>F</mi></mrow></semantic...

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Bibliographic Details
Main Authors: Vladimir Rykov, Nika Ivanova, Irina Kochetkova
Format: Article
Language:English
Published: MDPI AG 2022-07-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/10/14/2457
Description
Summary:The reliability characteristics of a <i>k</i>-out-of-<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>n</mi><mo>:</mo><mi>F</mi></mrow></semantics></math></inline-formula> system are studied in the case when a failure of one of the system’s components leads to increasing the load on others, resulting in their residual lifetimes decreasing. The situation is modeled with the help of changing the components and the system hazard rate function. The reliability function and other reliability characteristics are calculated. Numerical examples are considered.
ISSN:2227-7390