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https://hdl.handle.net/20.500.11851/1592
Title: | Asymptotic Results for an Inventory Model of Type (s, S) With Asymmetric Triangular Distributed Interference of Chance and Delay | Authors: | Hanalioğlu, Zülfiye Khaniyev, Tahir |
Keywords: | Inventory model of type (s,S) Asymmetric triangular distribution Moments of ergodic distribution Asymptotic expansion |
Publisher: | Gazi Univ | Source: | Hanalioğlu, Z., & Khaniyev, T. (2018). Asymptotic Results for an Inventory Model of Type (s, S) with Asymmetric Triangular Distributed Interference of Chance and Delay. Gazi University Journal of Science, 31(1), 174-187. | Abstract: | In this study, a semi - Markovian inventory model of type (s, S) is considered and the model is expressed by a modification of a renewal - reward process (X(t)) with an asymmetric triangular distributed interference of chance and delay. The ergodicity of the process X(t) is proved under some weak conditions. Additionally, exact expressions and three - term asymptotic expansions are found for all the moments of the ergodic distribution. Finally, obtained asymptotic results are compared with exact results for a special case. [Hanalioglu, Zulfiye] Karabuk Univ, Dept Actuarial Sci & Risk Management, Karabuk, Turkey; [Khaniyev, Tahir] TOBB Univ Econ & Technol, Dept Ind Engn, TR-06560 Ankara, Turkey |
URI: | https://search.trdizin.gov.tr/yayin/detay/323525 http://www.gujsa.gazi.edu.tr/ https://hdl.handle.net/20.500.11851/1592 |
ISSN: | 2147-1762 |
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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