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dc.contributor.authorKamislik, Ash Bektas
dc.contributor.authorKesemen, Tulay
dc.contributor.authorKhaniyev, Tahir
dc.date.accessioned2019-07-03T14:44:47Z
dc.date.available2019-07-03T14:44:47Z
dc.date.issued2018
dc.identifier.isbn978-0-7354-1618-5
dc.identifier.issn0094-243X
dc.identifier.urihttps://aip.scitation.org/doi/abs/10.1063/1.5020457
dc.identifier.urihttp://hdl.handle.net/20.500.11851/1591
dc.description6th International Eurasian Conference on Mathematical Sciences and Applications (IECMSA), AUG 15-17, 2017, Budapest, HUNGARYen_US
dc.description.abstractThe class of L boolean AND D is generated by intersection of two important subclasses of heavy tailed distributions: The long tailed distributions and dominated varying distributions. This class itself is also an important member of heavy tailed distributions and has some principal application areas especially in renewal, renewal reward and random walk processes. The aim of this study is to observe some well and less known results on renewal functions generated by the class of L boolean AND D and apply them into a special renewal reward process which is known in the literature a semi Markovian inventory model of type (s, S). Especially we focused on Pareto distribution which belongs to the L boolean AND D subclass of heavy tailed distributions. As a first step we obtained asymptotic results for renewal function generated by Pareto distribution from the class of L boolean AND D using some well-known results by Embrechts and Omey [1]. Then we applied the results we obtained for Pareto distribution to renewal reward processes. As an application we investigate inventory model of type (s, S) when demands have Pareto distribution from the class of L boolean AND D. We obtained asymptotic expansion for ergodic distribution function and finally we reached asymptotic expansion for nth order moments of distribution of this process.en_US
dc.description.abstract[Kamislik, Ash Bektas] Recep Tayyip Erdogan Univ, Dept Math, TR-53020 Rize, Turkey; [Kesemen, Tulay] Karadeniz Tech Univ, Dept Math, TR-61080 Trabzon, Turkey; [Khaniyev, Tahir] TOBB Univ Econ & Technol, Dept Ind Engn, TR-06560 Ankara, Turkeytr_TR
dc.language.isoengen_US
dc.publisherAmer Inst Physicsen_US
dc.relation.ispartofAIP Conference Proceedingsen_US
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectInfiniteen_US
dc.subjectVarianceen_US
dc.subjectTheoremen_US
dc.titleThe Class of L boolean AND D and Its Application to Renewal Reward Processen_US
dc.typeconferenceObjecten_US
dc.relation.journal6th International Eurasian Conference On Mathematical Sciences And Applications (IECMSA-2017)en_US
dc.contributor.departmentTOBB ETU, Faculty of Engineering, Department of Industrial Engineeringen_US
dc.contributor.departmentTOBB ETÜ, Mühendislik Fakültesi, Endüstri Mühendisliği Bölümütr_TR
dc.identifier.volume1926
dc.relation.tubitakinfo:eu-repo/grantAgreement/TÜBİTAK/MFAG/115F221en_US
dc.contributor.orcidhttps://orcid.org/0000-0003-1974-0140
dc.identifier.wosWOS:000431625500008
dc.identifier.scopus2-s2.0-85040972336
dc.contributor.tobbetuauthorKhaniyev, Tahir
dc.contributor.YOKid17222
dc.identifier.doi10.1063/1.5020457
dc.contributor.ScopusAuthorID7801652544
dc.relation.publicationcategoryKonferans Öğesi - Uluslararası - Kurum Öğretim Elemanıtr_TR


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