ASYMPTOTIC RESULTS FOR AN INVENTORY MODEL OF TYPE s, S WITH A GENERALIZED BETA INTERFERENCE OF CHANCE

Year 2011, Volume: 01 Issue: 2, 223 - 236, 01.12.2011

Tahir Khaniyev Cihan Aksop

Abstract

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.

Keywords

Inventory model of type s, S, renewal-reward process, generalized betadistribution, asymptotic expansion, weak convergence, Monte Carlo simulation

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