TY  - JOUR
TI  - Limit theorem for a semi - Markovian stochastic model of type (s,S)
AB  - In this study, a semi-Markovian inventory model of type (s,S) is considered and the model is expressed by means of renewal-reward process (X(t)) with an asymmetric triangular distributed interference of chance and delay. The ergodicity of the process X(t) is proved and the exact expression for the ergodic distribution is obtained. Then, two-term asymptotic expansion for the ergodic distribution is found for standardized process W(t) ≡ (2X(t))/(S −s). Finally, using this asymptotic expansion, the weak convergence theorem for the ergodic distribution of the process W(t) is proved and the explicit form of the limit distribution is found.
AU  - Mammadova, Zulfiyya
AU  - Khaniyev, Tahir
DO  - 10.15672/HJMS.2018.622
PY  - 2019
JO  - Hacettepe Journal of Mathematics and Statistics
VL  - 48
IS  - 2
SN  - 1303-5010
SP  - 605
EP  - 615
DB  - TRDizin
UR  - http://search/yayin/detay/296627
ER  -