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On The Moments For Ergodic Distribution Of An Inventory Model Of Type (S, S) With Regularly Varying Demands Having Infinite Variance

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dc.contributor.author Kamislik, A. Bektas
dc.contributor.author Kesemen, T.
dc.contributor.author Khaniyev, Tahir
dc.date.accessioned 2019-07-03T14:44:47Z
dc.date.available 2019-07-03T14:44:47Z
dc.date.issued 2018
dc.identifier.citation Kesemen, T., & Khaniyev, T. (2018). On The Moments For Ergodic Distribution Of An Inventory Model Of Type (S; S) With Regularly Varying Demands Having Infinite Variance. TWMS Journal of Applied and Engineering Mathematics, 8(1a), 318. en_US
dc.identifier.issn 2146-1147
dc.identifier.uri http://jaem.isikun.edu.tr/web/
dc.identifier.uri http://hdl.handle.net/20.500.11851/1590
dc.description.abstract In this study a stochastic process X(t) which represents a semi Markovian inventory model of type (s,S) has been considered in the presence of regularly varying tailed demand quantities. The main purpose of the current study is to investigate the asymptotic behavior of the moments of ergodic distribution of the process X(t) when the demands have any arbitrary distribution function from the regularly varying subclass of heavy tailed distributions with in finite variance. In order to obtain renewal function generated by the regularly varying random variables, we used a special asymptotic expansion provided by Geluk [14]. As a first step we investigate the current problem with the whole class of regularly varying distributions with tail parameter 1 < alpha < 2 rather than a single distribution. We obtained a general formula for the asymptotic expressions of nth order moments (n = 1, 2, 3, ...) of ergodic distribution of the process X(t). Subsequently we consider this system with Pareto distributed demand random variables and apply obtained results in this special case. en_US
dc.description.abstract [Kamislik, A. Bektas] Recep Tayyip Erdogan Univ, Fac Arts & Sci, Dept Math, Rize, Turkey; [Kesemen, T.] Karadeniz Tech Univ, Fac Sci, Dept Math, Trabzon, Turkey; [Khaniyev, T.] TOBB Univ Econ & Technol, Fac Engn, Dept Ind Engn, Ankara, Turkey tr_TR
dc.language.iso eng en_US
dc.publisher Turkic World Mathematical Soc en_US
dc.rights info:eu-repo/semantics/openAccess
dc.subject Semi Markovian Inventory Model en_US
dc.subject Renewal Reward Process en_US
dc.subject Regular Variation en_US
dc.subject Moments en_US
dc.subject Asymptotic Expansion en_US
dc.title On The Moments For Ergodic Distribution Of An Inventory Model Of Type (S, S) With Regularly Varying Demands Having Infinite Variance en_US
dc.type article en_US
dc.relation.journal Twms Journal Of Applied And Engineering Mathematics en_US
dc.contributor.department TOBB ETU, Faculty of Engineering, Department of Industrial Engineering en_US
dc.contributor.department TOBB ETÜ, Mühendislik Fakültesi, Endüstri Mühendisliği Bölümü tr_TR
dc.identifier.volume 8
dc.identifier.issue 1A
dc.identifier.startpage 318
dc.identifier.endpage 329
dc.relation.tubitak info:eu-repo/grantAgreement/TÜBİTAK/MFAG/115F221 en_US
dc.contributor.orcid https://orcid.org/0000-0003-1974-0140
dc.identifier.wos WOS:000443871200017
dc.identifier.scopus 2-s2.0-85058309312
dc.contributor.tobbetuauthor Khaniyev, Tahir
dc.contributor.YOKid 17222
dc.contributor.ScopusAuthorID 7801652544
dc.relation.publicationcategory Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı tr_TR


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