Load sharing \(M\)-out of-\(N\): \(G\) system with non-identical components subject to common cause failure
type: Item
instance of: scholarly article
title: Load sharing \(M\)-out of-\(N\): \(G\) system with non-identical components subject to common cause failure
zbMATH Open document ID: 1390.90315
DOI: 10.1504/IJMOR.2012.048932
author: Madhu Jain
author: Ritu Gupta
published in: International Journal of Mathematics in Operational Research
publication date: 2018-05-29T00:00:00Z
review text: Summary: This paper deals with the load sharing \(M\)-out of-\(N\): \(G\) redundant system consisting of non-identical and non-repairable components. The components are removed from the system immediately after the failure and each of surviving components shares different amount of load. The components are assumed to have exponential life time distributions with different failure rates. For the solution purpose, Laplace transform technique is used to solve the system of differential equations. We provide a closed form analytical expression for the reliability and some other performances indices of the system. The validation of analytical results is also demonstrated by providing the numerical results.
Mathematics Subject Classification ID: 90B35
Mathematics Subject Classification ID: 90B25
Mathematics Subject Classification ID: 44A10
zbMATH DE Number: 6875997
zbMATH Keywords: \(M\)-out of-\(N\): \(G\) system
zbMATH Keywords: Markov process
zbMATH Keywords: load sharing
zbMATH Keywords: common cause failure
zbMATH Keywords: reliability
MaRDI profile type: Publication
full work available at URL: ijmor.2012.048932
OpenAlex ID: W1997266013
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description: scientific article; zbMATH DE number 6875997