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

Tahir Khanıyev · Cihan Aksop

10 citations0/0 files storedAkademik Açık Erişim (Işık Üniversitesi)

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Supply Chain and Inventory Management Probability and Statistical Research Advanced Queuing Theory Analysis

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.

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1977Stochastic processes in queuing theory 2010ON THE WEAK CONVERGENCE OF THE ERGODIC DISTRIBUTION FOR AN INVENTORY MODEL OF TYPE (s,S)2010Three-term asymptotic expansions for the moments of the random walk with triangular distributed interference of chance

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