A NEW SHOCK MODEL WITH A CHANGE IN SHOCK SIZE DISTRIBUTION

dc.contributor.author Eryilmaz, Serkan
dc.contributor.author Kan, Cihangir
dc.contributor.other Industrial Engineering
dc.contributor.other 06. School Of Engineering
dc.contributor.other 01. Atılım University
dc.date.accessioned 2024-07-05T15:19:39Z
dc.date.available 2024-07-05T15:19:39Z
dc.date.issued 2021
dc.description Kan, Cihangir/0000-0002-3642-9509; Eryilmaz, Serkan/0000-0002-2108-1781 en_US
dc.description.abstract For a system that is subject to shocks, it is assumed that the distribution of the magnitudes of shocks changes after the first shock of size at least d(1), and the system fails upon the occurrence of the first shock above a critical level d(2) (> d(1)). In this paper, the distribution of the lifetime of such a system is studied when the times between successive shocks follow matrix-exponential distribution. In particular, it is shown that the system's lifetime has matrix-exponential distribution when the intershock times follow Erlang distribution. The model is extended to the case when the system fails upon the occurrence of l consecutive critical shocks. en_US
dc.identifier.doi 10.1017/S0269964819000445
dc.identifier.issn 0269-9648
dc.identifier.issn 1469-8951
dc.identifier.scopus 2-s2.0-85077228288
dc.identifier.uri https://doi.org/10.1017/S0269964819000445
dc.identifier.uri https://hdl.handle.net/20.500.14411/2000
dc.language.iso en en_US
dc.publisher Cambridge Univ Press en_US
dc.relation.ispartof Probability in the Engineering and Informational Sciences
dc.rights info:eu-repo/semantics/closedAccess en_US
dc.subject matrix-exponential distribution en_US
dc.subject reliability en_US
dc.subject shock model en_US
dc.title A NEW SHOCK MODEL WITH A CHANGE IN SHOCK SIZE DISTRIBUTION en_US
dc.type Article en_US
dspace.entity.type Publication
gdc.author.id Kan, Cihangir/0000-0002-3642-9509
gdc.author.id Eryilmaz, Serkan/0000-0002-2108-1781
gdc.author.institutional Eryılmaz, Serkan
gdc.author.scopusid 8203625300
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gdc.author.wosid Kan, Cihangir/L-1355-2013
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gdc.description.department Atılım University en_US
gdc.description.departmenttemp [Eryilmaz, Serkan] Atilim Univ, Dept Ind Engn, TR-06836 Ankara, Turkey; [Kan, Cihangir] Xian Jiaotong Liverpool Univ, Suzhou, Peoples R China en_US
gdc.description.endpage 395 en_US
gdc.description.issue 3 en_US
gdc.description.publicationcategory Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı en_US
gdc.description.startpage 381 en_US
gdc.description.volume 35 en_US
gdc.description.wosquality Q3
gdc.identifier.openalex W2997321523
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gdc.oaire.sciencefields 0211 other engineering and technologies
gdc.oaire.sciencefields 02 engineering and technology
gdc.oaire.sciencefields 0101 mathematics
gdc.oaire.sciencefields 01 natural sciences
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gdc.opencitations.count 11
gdc.plumx.crossrefcites 9
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