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


HANALİOĞLU Z. , Khaniyev T.

GAZI UNIVERSITY JOURNAL OF SCIENCE, cilt.31, ss.174-187, 2018 (ESCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 31 Konu: 1
  • Basım Tarihi: 2018
  • Dergi Adı: GAZI UNIVERSITY JOURNAL OF SCIENCE
  • Sayfa Sayıları: ss.174-187

Özet

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.