TY  - JOUR
TI  - On the weak convergence of the ergodic distribution for an inventory model of type (s,S)
AB  - In this study, a renewal - reward process with a discrete interference of chance is constructed. This process describes in particular a semi- Markovian inventory model of type (s,S). The ergodic distribution of this process is expressed by a renewal function, and a second-order ap- proximation for the ergodic distribution of the process is obtained as S − s → ∞ when the interference has a triangular distribution. Then, the weak convergence theorem is proved for the ergodic distribution and the limit distribution is derived. Finally, the accuracy of the ap- proximation formula is tested by the Monte Carlo simulation method.
AU  - KHANIYEV, Tahir
AU  - ATALAY, Kumru Didem
PY  - 2010
JO  - Hacettepe Journal of Mathematics and Statistics
VL  - 39
IS  - 4
SN  - 1303-5010
SP  - 599
EP  - 611
DB  - TRDizin
UR  - http://search/yayin/detay/111822
ER  -