Please use this identifier to cite or link to this item: https://hdl.handle.net/20.500.11851/7213
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dc.contributor.authorKhaniyev, Tahir-
dc.contributor.authorAtalay, Kumru Didem-
dc.date.accessioned2021-09-11T15:55:59Z-
dc.date.available2021-09-11T15:55:59Z-
dc.date.issued2010en_US
dc.identifier.issn1303-5010-
dc.identifier.urihttps://search.trdizin.gov.tr/yayin/detay/111822-
dc.identifier.urihttps://hdl.handle.net/20.500.11851/7213-
dc.description.abstractIn this study, a renewal - reward process with a discrete interference of chance is constructed. This process describes in particular a semi-Markovian inventory model of type (s, S). The ergodic distribution of this process is expressed by a renewal function, and a second-order approximation for the ergodic distribution of the process is obtained as S - s -> infinity when the interference has a triangular distribution. Then, the weak convergence theorem is proved for the ergodic distribution and the limit distribution is derived. Finally, the accuracy of the approximation formula is tested by the Monte Carlo simulation method.en_US
dc.language.isoenen_US
dc.publisherHacettepe Univ, Fac Scien_US
dc.relation.ispartofHacettepe Journal of Mathematics And Statisticsen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectRenewal-reward processen_US
dc.subjectDiscrete interference of chanceen_US
dc.subjectAsymptotic expansionen_US
dc.subjectTriangular distributionen_US
dc.subjectWeak convergenceen_US
dc.subjectRenewal functionen_US
dc.titleOn the weak convergence of the ergodic distribution for an inventory model of type (s,S)en_US
dc.typeArticleen_US
dc.departmentFaculties, Faculty of Engineering, Department of Industrial Engineeringen_US
dc.departmentFakülteler, Mühendislik Fakültesi, Endüstri Mühendisliği Bölümütr_TR
dc.identifier.volume39en_US
dc.identifier.issue4en_US
dc.identifier.startpage599en_US
dc.identifier.endpage611en_US
dc.identifier.wosWOS:000287782600014en_US
dc.identifier.scopus2-s2.0-80054766213en_US
dc.institutionauthorKhaniyev, Tahir-
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.identifier.scopusqualityQ4-
dc.identifier.trdizinid111822en_US
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
item.grantfulltextnone-
item.fulltextNo Fulltext-
item.openairetypeArticle-
item.cerifentitytypePublications-
item.languageiso639-1en-
crisitem.author.dept02.4. Department of Industrial Engineering-
Appears in Collections:Endüstri Mühendisliği Bölümü / Department of Industrial Engineering
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
TR Dizin İndeksli Yayınlar / TR Dizin Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection
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