Moreover we proved weak convergence theorem for the ergodicdistribution function and derived the limit distribution.
📌 3 Key Takeaways
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Objective & Hypothesis:In this study we consider semi-Markovian inventory model of type (5, S) with SubexponentialWeibull distributed demand and uniform distributed interference of chance.
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Key Findings & Data:By using special asymptoticexpansion proposed by Geluk and Frenk (2011) we derived an asymptotic expansion for the renewal functiongenerated by the subexponential Weibull distributed demand random variables.
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Conclusion & Impact:Moreover we proved weak convergence theorem for the ergodicdistribution function and derived the limit distribution.
🔬Design:Modeling & Simulation
📍Scope:2011 Verileri
⚙️Variables:Domain Parameters
Abstract
In this study we consider semi-Markovian inventory model of type (5, S) with SubexponentialWeibull distributed demand and uniform distributed interference of chance. By using special asymptoticexpansion proposed by Geluk and Frenk (2011) we derived an asymptotic expansion for the renewal functiongenerated by the subexponential Weibull distributed demand random variables. Trough this renewal functionwe obtained two term asymptotic expansion for the ergodic distribution function of the process whichrepresents the model that we consider here. Moreover we proved weak convergence theorem for the ergodicdistribution function and derived the limit distribution.
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Cite This Article
KÜÇÜK, Z., ŞENOL, E., KESEMEN, T., KAMIŞLIK, A. B. (2022). INVENTORY MODEL OF TYPE (8,8) WITH SUBEXPONENTIAL WEIBULL DISTRIBUTED DEMAND. İstatistik. Türk İstatistik Derneği Dergisi, Cilt: 9 - Sayı: 3, 81–92. https://ajindex.com/articles/555723
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