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|Title:||Asymptotic Results for an Inventory Model of Type (s, S) with Asymmetric Triangular Distributed Interference of Chance and Delay||Authors:||Hanalioğlu, Zülfiye
|Keywords:||Inventory model of type (s,S)
Asymmetric triangular distribution
Moments of ergodic distribution
|Issue Date:||2018||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
|Appears in Collections:||Endüstri Mühendisliği Bölümü / Department of Industrial Engineering|
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