In this study, asymptotic expansion for ergodic distribution of an inventory control model of type s, S with generalized beta interference of chance is obtained, when S − s → ∞. Moreover, weak convergence theorem is proved for ergodic distribution. Finally, the accuracy of the asymptotic expansion is examined with Monte Carlo simulation method.
Inventory model of type s, S, renewalreward process, generalized betadistribution, asymptotic expansion, weak convergence, Monte Carlo simulation
Primary Language  English 

Journal Section  Research Article 
Authors 

Publication Date  December 1, 2011 
Published in Issue  Year 2011, Volume 01, Issue 2 
Bibtex  @ { twmsjaem761800, journal = {TWMS Journal of Applied and Engineering Mathematics}, issn = {21461147}, eissn = {25871013}, address = {Işık University ŞİLE KAMPÜSÜ Meşrutiyet Mahallesi, Üniversite Sokak No:2 Şile / İstanbul}, publisher = {Turkic World Mathematical Society}, year = {2011}, volume = {01}, number = {2}, pages = {223  236}, title = {ASYMPTOTIC RESULTS FOR AN INVENTORY MODEL OF TYPE s, S WITH A GENERALIZED BETA INTERFERENCE OF CHANCE}, key = {cite}, author = {Khaniyev, Tahir and Aksop, Cihan} } 