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dc.contributor.authorLindqvist, Bo Henry
dc.contributor.authorSamaniego, Francisco J.
dc.date.accessioned2019-12-11T07:54:52Z
dc.date.available2019-12-11T07:54:52Z
dc.date.created2019-07-03T17:18:30Z
dc.date.issued2019
dc.identifier.citationNaval Research Logistics. 2019, 66 (5), 430-438.nb_NO
dc.identifier.issn0894-069X
dc.identifier.urihttp://hdl.handle.net/11250/2632567
dc.description.abstractWe consider the classical problem of whether certain classes of lifetime distributions are preserved under the formation of coherent systems. Under the assumption of independent and identically distributed (i.i.d.) component lifetimes, we consider the NBUE (new better than used in expectation) and NWUE (new worse than used in expectation) classes. First, a necessary condition for a coherent system to preserve the NBUE class is given. Sufficient conditions are then obtained for systems satisfying this necessary condition. The sufficient conditions are satisfied for a collection of systems which includes all parallel systems, but the collection is shown to be strictly larger. We also prove that no coherent system preserves the NWUE class. As byproducts of our study, we obtain the following results for the case of i.i.d. component lifetimes: (a) the DFR (decreasing failure rate) class is preserved by no coherent systems other than series systems, and (b) the IMRL (increasing mean residual life) class is not preserved by any coherent systems. Generalizations to the case of dependent component lifetimes are briefly discussed.nb_NO
dc.language.isoengnb_NO
dc.publisherWileynb_NO
dc.titleSome new results on the preservation of the NBUE and NWUE aging classes under the formation of coherent systemsnb_NO
dc.typeJournal articlenb_NO
dc.typePeer reviewednb_NO
dc.description.versionacceptedVersionnb_NO
dc.source.pagenumber430-438nb_NO
dc.source.volume66nb_NO
dc.source.journalNaval Research Logisticsnb_NO
dc.source.issue5nb_NO
dc.identifier.doi10.1002/nav.21849
dc.identifier.cristin1709924
dc.description.localcodeLocked until 18.5.2020 due to copyright restrictions. This is the peer reviewed version of an article, which has been published in final form at [https://doi.org/10.1002/nav.21849]. This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Self-Archiving.nb_NO
cristin.unitcode194,63,15,0
cristin.unitnameInstitutt for matematiske fag
cristin.ispublishedtrue
cristin.fulltextpostprint
cristin.qualitycode1


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