Comparisons and bounds for expected lifetimes of reliability systems
type: Item
instance of: scholarly article
title: Comparisons and bounds for expected lifetimes of reliability systems
zbMATH Open document ID: 1217.62155
author: Jorge Navarro
author: Tomasz Rychlik
published in: European Journal of Operational Research
publication date: 2010-09-09T00:00:00Z
review text: The authors obtain bounds on the expected values of life times of coherent and mixed systems in reliability theory. The case when the component life times are independent and identically distributed, as well as the case when they are independent but not necessarily identically distributed, are considered. In the independent and identically distributed case, the bounds are given in terms of the mean component life time and the domination polynomial of the system. In the case when the component life times are not necessarily identically distributed, the bounds are in terms of the generalized domination polynomial and the component mean life times. Some properties of the bounds, such as their sharpness, are derived. The results can be used to compare systems with component life times ordered in the convex ordering.
Mathematics Subject Classification ID: 62N05
Mathematics Subject Classification ID: 60E15
Mathematics Subject Classification ID: 60K10
zbMATH DE Number: 5781838
zbMATH Keywords: coherent system
zbMATH Keywords: mixed system
zbMATH Keywords: signature
zbMATH Keywords: mean residual life
zbMATH Keywords: convex order
zbMATH Keywords: Gini index
reviewed by: Moshe Shaked
MaRDI profile type: Publication
full work available at URL: j.ejor.2010.05.001
OpenAlex ID: W2072418363
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DOI: 10.1016/J.EJOR.2010.05.001
description: scientific article; zbMATH DE number 5781838