Asymptotic results for an inventory model of type (??, ??) with asymmetric triangular distributed interference of chance and delay

Hanalıoglu, ZülfiyeKhanıyev, Tahir2024-09-292024-09-292018https://search.trdizin.gov.tr/tr/yayin/detay/323525https://hdl.handle.net/20.500.14619/11809In 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.eninfo:eu-repo/semantics/openAccessAsymptotic results for an inventory model of type (??, ??) with asymmetric triangular distributed interference of chance and delayArticle187117432352531