Some aging properties of parallel and series systems with a random number of components

Some aging properties of parallel and series systems with a random number of components

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Article ID: iaor201524016
Volume: 61
Issue: 3
Start Page Number: 238
End Page Number: 243
Publication Date: Apr 2014
Journal: Naval Research Logistics (NRL)
Authors: , ,
Keywords: life expectancy, parallel machines, assembly line, assembly sequence
Abstract:

In this article, we study aging properties of parallel and series systems with a random number of components. We show that the decreasing likelihood ratio property is closed under the formation of random minima. We also show, by counterexamples, that other aging properties are not closed under the formation of random minima or maxima. Some mistakes in the literature are corrected.

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