Please use this identifier to cite or link to this item: https://hdl.handle.net/20.500.11851/11564
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dc.contributor.authorHanalıoğlu Z.-
dc.contributor.authorPoladova, A.-
dc.contributor.authorGever, B.-
dc.contributor.authorKhaniyev, T.-
dc.date.accessioned2024-05-18T16:08:05Z-
dc.date.available2024-05-18T16:08:05Z-
dc.date.issued2024-
dc.identifier.issn2146-1147-
dc.identifier.urihttps://hdl.handle.net/20.500.11851/11564-
dc.description.abstractIn this paper, the stochastic uctuation of buffer stock level at time t is investigated. Therefore, random walk processes X(t) and Y (t) with two specific barriers have been defined to describe the stochastic uctuation of the product level. Here X(t) = Y (t) - a and the parameter a specifies half capacity of the buffer stock warehouse. Next, the one-dimensional distribution of the process X(t) has calculated. Moreover, the ergodicity of the process X(t) has been proven and the exact formula for the characteristic function has been found. Then, the weak convergence theorem has been proven for the standardized process W(t) = X(t)/a, as a →∞ Additionally, exact and asymptotic expressions for the ergodic moments of the processes X(t) and Y (t) are obtained. © (2024) Isik University, Department of Mathematics, All Rights Reserved.en_US
dc.language.isoenen_US
dc.publisherIsik Universityen_US
dc.relation.ispartofTurkish World Mathematical Society Journal of Applied and Engineering Mathematicsen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectasymptotic expansionen_US
dc.subjectbuffer stock problemen_US
dc.subjectRandom walk with two barriersen_US
dc.subjectstationary distributionen_US
dc.subjectweak convergenceen_US
dc.titleA novel stochastic approach to buffer stock problemen_US
dc.typeArticleen_US
dc.departmentTOBB ETÜen_US
dc.identifier.volume14en_US
dc.identifier.issue2en_US
dc.identifier.startpage644en_US
dc.identifier.endpage656en_US
dc.identifier.scopus2-s2.0-85189673513en_US
dc.institutionauthorKHANIYEV, T.-
dc.authorscopusid57188571645-
dc.authorscopusid57211683090-
dc.authorscopusid55255755600-
dc.authorscopusid7801652544-
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
item.cerifentitytypePublications-
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
item.openairetypeArticle-
item.languageiso639-1en-
item.fulltextNo Fulltext-
item.grantfulltextnone-
crisitem.author.dept02.4. Department of Industrial Engineering-
Appears in Collections:Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
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