Redundancy importance and allocation of spares in coherent systems
type: Item
instance of: scholarly article
title: Redundancy importance and allocation of spares in coherent systems
zbMATH Open document ID: 0759.62025
DOI: 10.1016/0378-3758(92)90121-8
author: Philip J. Boland
author: Emad El-Neweihi
author: Frank Proschan
published in: Journal of Statistical Planning and Inference
publication date: 1992-09-27T00:00:00Z
review text: The authors discussed the concept of `redundancy importance' for components in a coherent system and compared it to other well-known measures of component importance. Using this concept, the authors optimized the allocation of one or more redundant spare components to the coherent system. In some circumstances, parallel redundancy is used to improve the reliability of the system, while in others series redundancy is used to improve a different measure of utility. Keeping this aspect in view, the authors have defined the two concepts of parallel and series redundancy importance for components in a coherent system relative to an available set of redundant spares. These measures of importance have been compared with the structural importance and Birnbaum's reliability importance of a component. Various results for the optimal allocation of redundant spares are obtained, with particular reference to \(k\)-out-of-\(n\) systems and modules of coherent systems. This paper discussed an important problem related to systems. The results are interesting and important.
reviewed by: L.R.Goel
Mathematics Subject Classification ID: 62N05
Mathematics Subject Classification ID: 90B25
zbMATH DE Number: 63528
zbMATH Keywords: active redundancy
zbMATH Keywords: Schur concave
zbMATH Keywords: redundancy importance
zbMATH Keywords: coherent system
zbMATH Keywords: measures of component importance
zbMATH Keywords: redundant spare components
zbMATH Keywords: parallel redundancy
zbMATH Keywords: series redundancy
zbMATH Keywords: structural importance
zbMATH Keywords: Birnbaum's reliability importance
zbMATH Keywords: \(k\)-out-of-\(n\) systems
zbMATH Keywords: modules
MaRDI profile type: Publication
full work available at URL: 0378-3758(92)90121-8
OpenAlex ID: W1966274193
cites work: Active Redundancy Allocation in Coherent Systems
cites work: The reliability of k out of n systems
cites work: Functions decreasing in transposition and their applications in ranking problems
cites work: Inequalities: theory of majorization and its applications
cites work: Two suggestions of how to define a multistate coherent system
cites work: On the increase of system reliability by parallel redundancy
description: scientific article; zbMATH DE number 63528