Interval uneffectiveness distribution for a k-out-of-n multistate reliability system with repair
type: Item
instance of: scholarly article
title: Interval uneffectiveness distribution for a k-out-of-n multistate reliability system with repair
zbMATH Open document ID: 0652.90050
DOI: 10.1016/0377-2217(88)90007-0
author: A. Schornagel
author: M. C. van der Heijden
published in: European Journal of Operational Research
publication date: 1988-01-01T00:00:00Z
review text: The authors consider a system consisting of n identical parallel units, of which at most k units operate simultaneously. If more than k units are available, the superfluous units are put on cold standby and they cannot fail. If less than k units are available, the system operates at a proportionally reduced level. Moreover, all failed units can be under repair simultaneously (there are ample repair facilities). The lifetimes and repair times of the units are iid random variables belonging to the class of phase-type distributions with two phases. In the paper a method based on an approximation of this system by a two-state single component is given for the calculation of the probability distribution of that proportion of the system capacity that cannot be used in a given time period. The results are justified by Monte-Carlo simulations and their sensitivity to the distributional form of the lifetimes and repair times is investigated.
Mathematics Subject Classification ID: 90B25
Mathematics Subject Classification ID: 60K20
Mathematics Subject Classification ID: 62N05
zbMATH DE Number: 4064744
zbMATH Keywords: effectiveness
zbMATH Keywords: Markov process
zbMATH Keywords: k-out-of-n system
zbMATH Keywords: identical parallel units
zbMATH Keywords: cold standby
zbMATH Keywords: lifetimes
zbMATH Keywords: repair times
zbMATH Keywords: phase-type distributions
zbMATH Keywords: approximation
zbMATH Keywords: two-state single component
zbMATH Keywords: Monte-Carlo simulations
reviewed by: Tomáš Cipra
MaRDI profile type: Publication
full work available at URL: 0377-2217(88)90007-0
OpenAlex ID: W2010008974
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description: scientific article; zbMATH DE number 4064744