Asymptotic Results for an Inventory Model of Type (𝐬, 𝐒) with Asymmetric Triangular Distributed Interference of Chance and Delay

Abstract

In this study, a semi – Markovian inventory model of type (s, S) is considered and the model isexpressed by a modification of a renewal – reward process (X(t)) with an asymmetrictriangular distributed interference of chance and delay. The ergodicity of the process X(t) isproved under some weak conditions. Additionally, exact expressions and three – termasymptotic expansions are found for all the moments of the ergodic distribution. Finally,obtained asymptotic results are compared with exact results for a special case.