A Sharp Bound for the Ergodic Distribution of an Inventory Control Model Under the Assumption That Demands and Inter-Arrival Times Are Dependent

Hanalioğlu, Tahir; Aksop, C.

Please use this identifier to cite or link to this item: https://hdl.handle.net/20.500.11851/833

Title:	A Sharp Bound for the Ergodic Distribution of an Inventory Control Model Under the Assumption That Demands and Inter-Arrival Times Are Dependent
Authors:	Hanalioğlu, Tahir Aksop, C.
Keywords:	Dependence ergodic distribution inventory model of type (s S) inventory Model renewal Reward Process renewal Function
Publisher:	Hindawi Publishing Corporation
Source:	Hanalioğlu, T., & Aksop, C. (2014). A sharp bound for the ergodic distribution of an inventory control model under the assumption that demands and inter-arrival times are dependent. Journal of Inequalities and Applications, 2014(1), 1-10.
Abstract:	In this study, a stochastic process which represents a single-item inventory control model with (s, S)-type policy is constructed when the demands of a costumer are dependent on the inter-arrival times between consecutive arrivals. Under the assumption that the demands can be expressed as a monotone convex function of the inter-arrival times, it is proved that this process is ergodic, and closed form of the ergodic distribution is given. Moreover, a sharp lower bound for this distribution is obtained. © 2014 Hanalioǧlu (Khaniyev) and Aksop.
URI:	https://journalofinequalitiesandapplications.springeropen.com/articles/10.1186/1029-242X-2014-75 https://hdl.handle.net/20.500.11851/833
Appears in Collections:	Endüstri Mühendisliği Bölümü / Department of Industrial Engineering Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection