Please use this identifier to cite or link to this item: https://hdl.handle.net/20.500.11851/6232
Title: An asymptotic approach for a semi-Markovian inventory model of type (s, S)
Authors: Khaniyev, Tahir
Kokangül, Ali
Aliyev, Rovshan
Keywords: inventory model of type (s
S)
renewal-reward process
ergodic moments
asymptotic expansion
triangular distribution
Issue Date: 2013
Publisher: Wiley-Blackwell
Abstract: In this study, we constructed a stochastic process (X(t)) that expresses a semi-Markovian inventory model of type (s, S) and it is shown that this process is ergodic under some weak conditions. Moreover, we obtained exact and asymptotic expressions for the n(th) order moments (n=1,2,3,...) of ergodic distribution of the process X(t), as S-s. Finally, we tested how close the obtained approximation formulas are to the exact expressions. Copyright (c) 2012 John Wiley & Sons, Ltd.
URI: https://doi.org/10.1002/asmb.1918
https://hdl.handle.net/20.500.11851/6232
ISSN: 1524-1904
Appears in Collections:Endüstri Mühendisliği Bölümü / Department of Industrial Engineering
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection

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