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Stability of queueing-inventory systems with customers of different priorities
Citation Link: https://doi.org/10.15480/882.4849
Publikationstyp
Journal Article
Date Issued
2023-12
Sprache
English
Author(s)
Institut
TORE-DOI
Journal
Volume
331
Issue
2
Start Page
963
End Page
983
Citation
Annals of Operations Research 331 (2): 963-983 (2023)
Publisher DOI
Scopus ID
Publisher
Springer Science + Business Media B.V
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.
Subjects
Inventory control
Priority customer
Queueing networks
DDC Class
510: Mathematik
Publication version
publishedVersion
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