Limit theorem for a semi - Markovian stochastic model of type (s,S)

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dc.contributor.authorHanalioglu, Zulfiye
dc.contributor.authorKhaniyev, Tahir
dc.date.accessioned2024-09-29T16:06:21Z
dc.date.available2024-09-29T16:06:21Z
dc.date.issued2019
dc.departmentKarabük Üniversitesien_US
dc.description.abstractIn this study, a semi-Markovian inventory model of type (s,S) is considered and the model is expressed by means of renewal-reward process (X(t)) with an asymmetric triangular distributed interference of chance and delay. The ergodicity of the process X(t) is proved and the exact expression for the ergodic distribution is obtained. Then, two-term asymptotic expansion for the ergodic distribution is found for standardized process W(t) equivalent to (2X(t))/(S - s). Finally, using this asymptotic expansion, the weak convergence theorem for the ergodic distribution of the process W(t) is proved and the explicit form of the limit distribution is found.en_US
dc.identifier.doi10.15672/HJMS.2018.622
dc.identifier.endpage615en_US
dc.identifier.issn1303-5010
dc.identifier.issue2en_US
dc.identifier.scopus2-s2.0-85074112891en_US
dc.identifier.scopusqualityQ3en_US
dc.identifier.startpage605en_US
dc.identifier.trdizinid296627en_US
dc.identifier.urihttps://doi.org/10.15672/HJMS.2018.622
dc.identifier.urihttps://search.trdizin.gov.tr/tr/yayin/detay/296627
dc.identifier.urihttps://hdl.handle.net/20.500.14619/6785
dc.identifier.volume48en_US
dc.identifier.wosWOS:000464826600024en_US
dc.identifier.wosqualityQ3en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.indekslendigikaynakTR-Dizinen_US
dc.language.isoenen_US
dc.publisherHacettepe Univ, Fac Scien_US
dc.relation.ispartofHacettepe Journal of Mathematics and Statisticsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectInventory model of type (s,S)en_US
dc.subjectRenewal-reward processen_US
dc.subjectWeak convergenceen_US
dc.subjectAsymmetric triangular distributionen_US
dc.subjectAsymptotic expansionen_US
dc.titleLimit theorem for a semi - Markovian stochastic model of type (s,S)en_US
dc.typeArticleen_US

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