- Gazi University Journal of Science
- Vol: 31 Issue: 1
- ASYMPTOTIC RESULTS FOR AN INVENTORY MODEL OF TYPE (s,S) WITH ASYMMETRIC TRIANGULAR DISTRIBUTED INTER...
ASYMPTOTIC RESULTS FOR AN INVENTORY MODEL OF TYPE (s,S) WITH ASYMMETRIC TRIANGULAR DISTRIBUTED INTERFERENCE OF CHANCE AND DELAY
Authors : Zulfiye Hanalioğlu, Tahir Khaniyev
Pages : 174-187
View : 10 | Download : 3
Publication Date : 2018-03-01
Article Type : Research
Abstract :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.Keywords : Inventory model of type (s, S), Renewal – reward process, Asymmetric triangular distribution, Moments of ergodic distribution