Please use this identifier to cite or link to this item: https://hdl.handle.net/20.500.11851/7213
Title: On the weak convergence of the ergodic distribution for an inventory model of type (s,S)
Authors: Khaniyev, Tahir
Atalay, Kumru Didem
Keywords: Renewal-reward process
Discrete interference of chance
Asymptotic expansion
Triangular distribution
Weak convergence
Renewal function
Issue Date: 2010
Publisher: Hacettepe Univ, Fac Sci
Abstract: In this study, a renewal - reward process with a discrete interference of chance is constructed. This process describes in particular a semi-Markovian inventory model of type (s, S). The ergodic distribution of this process is expressed by a renewal function, and a second-order approximation for the ergodic distribution of the process is obtained as S - s -> infinity when the interference has a triangular distribution. Then, the weak convergence theorem is proved for the ergodic distribution and the limit distribution is derived. Finally, the accuracy of the approximation formula is tested by the Monte Carlo simulation method.
URI: https://search.trdizin.gov.tr/yayin/detay/111822
https://hdl.handle.net/20.500.11851/7213
ISSN: 1303-5010
Appears in Collections:Endüstri Mühendisliği Bölümü / Department of Industrial Engineering
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
TR Dizin İndeksli Yayınlar / TR Dizin Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection

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