Asymptotic results for an inventory model of type with a generalized beta interference of chance

Asymptotic results for an inventory model of type with a generalized beta interference of chance

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...

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Veröffentlicht in:TWMS journal of applied and engineering mathematics 2011-07, Vol.1 (2), p.223-236
Hauptverfasser: Khaniyev, T, Aksop, C
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Asymptotic expansions
Asymptotic methods
Computer simulation
Convergence
Ergodic processes
Interference
Inventory control
Mathematical models
Monte Carlo method
Monte Carlo methods
Monte Carlo simulation
Titanium dioxide
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Zusammenfassung: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 beta distribution, asymptotic expansion, weak convergence, Monte Carlo simulation AMS Subject Classification: 60K15
ISSN:2146-1147
2146-1147