On the weak convergence of the ergodic distribution for an inventory model of type (s,S)

KHANIYEV, Tahir; ATALAY, Kumru Didem

On the weak convergence of the ergodic distribution for an inventory model of type (s,S)

Tahir KHANIYEV, (TOBB Ekonomi ve Teknoloji Üniversitesi, Mühendislik Fakültesi, Ankara, Türkiye)

Kumru Didem ATALAY (Başkent Üniversitesi, Ankara, Türkiye)

Hacettepe Journal of Mathematics and Statistics

1 0

Yıl: 2010 Cilt: 39 Sayı: 4 Sayfa Aralığı: 599 - 611 Metin Dili: İngilizce İndeks Tarihi: 29-07-2022

On the weak convergence of the ergodic distribution for an inventory model of type (s,S)

Öz:

In this study, a renewal - reward process with a discrete interference of chance is constructed. This process describes in particular a semi- Markovian inventory model of type (s,S). The ergodic distribution of this process is expressed by a renewal function, and a second-order ap- proximation for the ergodic distribution of the process is obtained as S − s → ∞ when the interference has a triangular distribution. Then, the weak convergence theorem is proved for the ergodic distribution and the limit distribution is derived. Finally, the accuracy of the ap- proximation formula is tested by the Monte Carlo simulation method.

Anahtar Kelime:

Konular: Matematik İstatistik ve Olasılık

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

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APA	KHANIYEV T, ATALAY K (2010). On the weak convergence of the ergodic distribution for an inventory model of type (s,S). , 599 - 611.
Chicago	KHANIYEV Tahir,ATALAY Kumru Didem On the weak convergence of the ergodic distribution for an inventory model of type (s,S). (2010): 599 - 611.
MLA	KHANIYEV Tahir,ATALAY Kumru Didem On the weak convergence of the ergodic distribution for an inventory model of type (s,S). , 2010, ss.599 - 611.
AMA	KHANIYEV T,ATALAY K On the weak convergence of the ergodic distribution for an inventory model of type (s,S). . 2010; 599 - 611.
Vancouver	KHANIYEV T,ATALAY K On the weak convergence of the ergodic distribution for an inventory model of type (s,S). . 2010; 599 - 611.
IEEE	KHANIYEV T,ATALAY K "On the weak convergence of the ergodic distribution for an inventory model of type (s,S)." , ss.599 - 611, 2010.
ISNAD	KHANIYEV, Tahir - ATALAY, Kumru Didem. "On the weak convergence of the ergodic distribution for an inventory model of type (s,S)". (2010), 599-611.

APA	KHANIYEV T, ATALAY K (2010). On the weak convergence of the ergodic distribution for an inventory model of type (s,S). Hacettepe Journal of Mathematics and Statistics, 39(4), 599 - 611.
Chicago	KHANIYEV Tahir,ATALAY Kumru Didem On the weak convergence of the ergodic distribution for an inventory model of type (s,S). Hacettepe Journal of Mathematics and Statistics 39, no.4 (2010): 599 - 611.
MLA	KHANIYEV Tahir,ATALAY Kumru Didem On the weak convergence of the ergodic distribution for an inventory model of type (s,S). Hacettepe Journal of Mathematics and Statistics, vol.39, no.4, 2010, ss.599 - 611.
AMA	KHANIYEV T,ATALAY K On the weak convergence of the ergodic distribution for an inventory model of type (s,S). Hacettepe Journal of Mathematics and Statistics. 2010; 39(4): 599 - 611.
Vancouver	KHANIYEV T,ATALAY K On the weak convergence of the ergodic distribution for an inventory model of type (s,S). Hacettepe Journal of Mathematics and Statistics. 2010; 39(4): 599 - 611.
IEEE	KHANIYEV T,ATALAY K "On the weak convergence of the ergodic distribution for an inventory model of type (s,S)." Hacettepe Journal of Mathematics and Statistics, 39, ss.599 - 611, 2010.
ISNAD	KHANIYEV, Tahir - ATALAY, Kumru Didem. "On the weak convergence of the ergodic distribution for an inventory model of type (s,S)". Hacettepe Journal of Mathematics and Statistics 39/4 (2010), 599-611.