Options
Load balancing in a network of queueing-inventory systems
Citation Link: https://doi.org/10.15480/882.4836
Publikationstyp
Journal Article
Date Issued
2023-12
Sprache
English
Author(s)
Institut
TORE-DOI
Journal
Volume
331
Issue
2
Start Page
807
End Page
837
Citation
Annals of Operations Research 331 (2): 807-837 (2023-12)
Publisher DOI
Scopus ID
Publisher
Springer Science + Business Media B.V
We study a supply chain consisting of production-inventory systems at several locations which are coupled by a common supplier. Demand of customers arrives at each production system according to a Poisson process and is lost if the local inventory is depleted (“lost sales”). To satisfy a customer’s demand a server at the production system needs raw material from the associated local inventory. The supplier manufactures raw material to replenish the local inventories, which are controlled by a continuous review base stock policy. The routing of items depends on the on-hand inventory at the locations with the aim to obtain “load balancing”. We show that the stationary distribution has a product form of the marginal distributions of the production subsystem and the inventory-replenishment subsystem. For the marginal distribution of the production subsystem we derive an explicit solution and for the marginal distribution of the inventory-replenishment subsystem we deduce an explicit solution or a recursive algorithm for some special cases.
Subjects
Base stock policy
Inventory control
Product-form steady state
Queueing networks
DDC Class
600: Technik
620: Ingenieurwissenschaften
Publication version
publishedVersion
Loading...
Name
s10479-022-05017-3.pdf
Size
852.55 KB
Format
Adobe PDF