Optimal system reliability design of consecutive-k-out-of-n systems

dc.contributor.advisor Way Kuo
dc.contributor.author Zuo, Mingjian
dc.contributor.department Industrial and Manufacturing Systems Engineering
dc.date 2018-08-23T15:54:20.000
dc.date.accessioned 2020-06-30T07:10:48Z
dc.date.available 2020-06-30T07:10:48Z
dc.date.copyright Sun Jan 01 00:00:00 UTC 1989
dc.date.issued 1989
dc.description.abstract <p>This research studies four special types of systems: k-out-of-n:F systems, k-out-of-n:G systems, consecutive-k-out-of-n:F systems, and consecutive-k-out-of-n:G systems. A k-out-of-n:F system fails if and only if at least k of its n components fail. A k-out-of-n:G system is good if and only if at least k of its n components are good. A consecutive-k-out-of-n:F system is a sequence of n ordered components such that the system works if and only if less than k consecutive components fail. A consecutive-k-out-of-n:G system consists of an ordered sequence of n components such that the system works if and only if at least k consecutive components work. The consecutive-k-out-of-n systems are further divided into linear systems and circular systems corresponding to the cases where the components are ordered along a line and a circle, respectively;After the reliability evaluation of the k-out-of-n systems and the reliability evaluation and optimal design of the consecutive-k-out-of-n systems are reviewed. The properties of these systems are further investigated. Next, this research concentrates on the optimal design of the consecutive-k-out-of-n systems. An arrangement of components is optimal if it maximizes the system's reliability. An optimal arrangement is invariant if it depends only upon the ordering of component reliabilities but not their actual values. Theorems are developed to identify invariant optimal designs of some consecutive systems. Other theorems are provided proving that there are no invariant optimal configurations for some consecutive systems. For those systems where invariant optimal designs do not exist, a heuristic method is provided to find at least suboptimal solutions. Two case studies are presented to show the applications of the theoretical results developed in this study.</p>
dc.format.mimetype application/pdf
dc.identifier archive/lib.dr.iastate.edu/rtd/11178/
dc.identifier.articleid 12177
dc.identifier.contextkey 6444424
dc.identifier.doi https://doi.org/10.31274/rtd-180813-10272
dc.identifier.s3bucket isulib-bepress-aws-west
dc.identifier.submissionpath rtd/11178
dc.identifier.uri https://dr.lib.iastate.edu/handle/20.500.12876/64406
dc.language.iso en
dc.source.bitstream archive/lib.dr.iastate.edu/rtd/11178/r_9014973.pdf|||Fri Jan 14 18:44:03 UTC 2022
dc.subject.disciplines Industrial Engineering
dc.subject.disciplines Systems Engineering
dc.subject.keywords Industrial engineering
dc.title Optimal system reliability design of consecutive-k-out-of-n systems
dc.type article
dc.type.genre dissertation
dspace.entity.type Publication
relation.isOrgUnitOfPublication 51d8b1a0-5b93-4ee8-990a-a0e04d3501b1
thesis.degree.level dissertation
thesis.degree.name Doctor of Philosophy
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