INVENTORY MODEL OF TYPE (8,8) WITH SUBEXPONENTIAL WEIBULL DISTRIBUTED DEMAND

ŞENOL, Ebru; KÜÇÜK, Zafer; KESEMEN, Tülay; BEKTAŞ KAMIŞLIK, Aslı

INVENTORY MODEL OF TYPE (8,8) WITH SUBEXPONENTIAL WEIBULL DISTRIBUTED DEMAND

Tülay KESEMEN, (Department of Mathematics, Karadeniz Technical University, 61080 Trabzon, Turkey)

Aslı BEKTAŞ KAMIŞLIK, (Department of Mathematics, Recep Tayyip Erdoğan University, 53020, Rize Turkey)

Zafer KÜÇÜK, (Department of Statistics and Computer Sciences, Karadeniz Technical University, 61080 Trabzon, Turke)

Ebru ŞENOL (Department of Mathematics, Karadeniz Technical University, 61080 Trabzon, Turkey)

İstatistik. Türk İstatistik Derneği Dergisi

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Yıl: 2016 Cilt: 9 Sayı: 3 Sayfa Aralığı: 81 - 92 Metin Dili: İngilizce İndeks Tarihi: 29-07-2022

INVENTORY MODEL OF TYPE (8,8) WITH SUBEXPONENTIAL WEIBULL DISTRIBUTED DEMAND

Öz:

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.

Anahtar Kelime:

Konular: İstatistik ve Olasılık

Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık

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APA	KESEMEN T, BEKTAŞ KAMIŞLIK A, KÜÇÜK Z, ŞENOL E (2016). INVENTORY MODEL OF TYPE (8,8) WITH SUBEXPONENTIAL WEIBULL DISTRIBUTED DEMAND. , 81 - 92.
Chicago	KESEMEN Tülay,BEKTAŞ KAMIŞLIK Aslı,KÜÇÜK Zafer,ŞENOL Ebru INVENTORY MODEL OF TYPE (8,8) WITH SUBEXPONENTIAL WEIBULL DISTRIBUTED DEMAND. (2016): 81 - 92.
MLA	KESEMEN Tülay,BEKTAŞ KAMIŞLIK Aslı,KÜÇÜK Zafer,ŞENOL Ebru INVENTORY MODEL OF TYPE (8,8) WITH SUBEXPONENTIAL WEIBULL DISTRIBUTED DEMAND. , 2016, ss.81 - 92.
AMA	KESEMEN T,BEKTAŞ KAMIŞLIK A,KÜÇÜK Z,ŞENOL E INVENTORY MODEL OF TYPE (8,8) WITH SUBEXPONENTIAL WEIBULL DISTRIBUTED DEMAND. . 2016; 81 - 92.
Vancouver	KESEMEN T,BEKTAŞ KAMIŞLIK A,KÜÇÜK Z,ŞENOL E INVENTORY MODEL OF TYPE (8,8) WITH SUBEXPONENTIAL WEIBULL DISTRIBUTED DEMAND. . 2016; 81 - 92.
IEEE	KESEMEN T,BEKTAŞ KAMIŞLIK A,KÜÇÜK Z,ŞENOL E "INVENTORY MODEL OF TYPE (8,8) WITH SUBEXPONENTIAL WEIBULL DISTRIBUTED DEMAND." , ss.81 - 92, 2016.
ISNAD	KESEMEN, Tülay vd. "INVENTORY MODEL OF TYPE (8,8) WITH SUBEXPONENTIAL WEIBULL DISTRIBUTED DEMAND". (2016), 81-92.

APA	KESEMEN T, BEKTAŞ KAMIŞLIK A, KÜÇÜK Z, ŞENOL E (2016). INVENTORY MODEL OF TYPE (8,8) WITH SUBEXPONENTIAL WEIBULL DISTRIBUTED DEMAND. İstatistik. Türk İstatistik Derneği Dergisi, 9(3), 81 - 92.
Chicago	KESEMEN Tülay,BEKTAŞ KAMIŞLIK Aslı,KÜÇÜK Zafer,ŞENOL Ebru INVENTORY MODEL OF TYPE (8,8) WITH SUBEXPONENTIAL WEIBULL DISTRIBUTED DEMAND. İstatistik. Türk İstatistik Derneği Dergisi 9, no.3 (2016): 81 - 92.
MLA	KESEMEN Tülay,BEKTAŞ KAMIŞLIK Aslı,KÜÇÜK Zafer,ŞENOL Ebru INVENTORY MODEL OF TYPE (8,8) WITH SUBEXPONENTIAL WEIBULL DISTRIBUTED DEMAND. İstatistik. Türk İstatistik Derneği Dergisi, vol.9, no.3, 2016, ss.81 - 92.
AMA	KESEMEN T,BEKTAŞ KAMIŞLIK A,KÜÇÜK Z,ŞENOL E INVENTORY MODEL OF TYPE (8,8) WITH SUBEXPONENTIAL WEIBULL DISTRIBUTED DEMAND. İstatistik. Türk İstatistik Derneği Dergisi. 2016; 9(3): 81 - 92.
Vancouver	KESEMEN T,BEKTAŞ KAMIŞLIK A,KÜÇÜK Z,ŞENOL E INVENTORY MODEL OF TYPE (8,8) WITH SUBEXPONENTIAL WEIBULL DISTRIBUTED DEMAND. İstatistik. Türk İstatistik Derneği Dergisi. 2016; 9(3): 81 - 92.
IEEE	KESEMEN T,BEKTAŞ KAMIŞLIK A,KÜÇÜK Z,ŞENOL E "INVENTORY MODEL OF TYPE (8,8) WITH SUBEXPONENTIAL WEIBULL DISTRIBUTED DEMAND." İstatistik. Türk İstatistik Derneği Dergisi, 9, ss.81 - 92, 2016.
ISNAD	KESEMEN, Tülay vd. "INVENTORY MODEL OF TYPE (8,8) WITH SUBEXPONENTIAL WEIBULL DISTRIBUTED DEMAND". İstatistik. Türk İstatistik Derneği Dergisi 9/3 (2016), 81-92.