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Publisher DOI: 10.1007/s10479-022-05140-1
Title: Stability of queueing-inventory systems with customers of different priorities
Language: English
Authors: Otten, Sonja 
Daduna, Hans 
Keywords: Inventory control; Priority customer; Queueing networks
Issue Date: 28-Dec-2022
Publisher: Springer Science + Business Media B.V
Source: Annals of Operations Research (in Press): (2022)
Abstract (english): 
We study a production-inventory system with two customer classes with different priorities which are admitted to the system following a flexible admission control scheme. The inventory management is according to a base stock policy and arriving demand which finds the inventory depleted is lost (lost sales). We analyse the global balance equations of the associated Markov process and derive structural properties of the steady state distribution which provide insights into the equilibrium behaviour of the system. We derive a sufficient condition for ergodicity using the Foster-Lyapunov stability criterion. For a special case we show that the condition is necessary as well.
DOI: 10.15480/882.4849
ISSN: 1572-9338
Journal: Annals of operations research 
Institute: Mathematik E-10 
Document Type: Article
Project: Projekt DEAL 
License: CC BY 4.0 (Attribution) CC BY 4.0 (Attribution)
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