Please use this identifier to cite or link to this item: https://doi.org/10.15480/882.4836
Publisher DOI: 10.1007/s10479-022-05017-3
Title: Load balancing in a network of queueing-inventory systems
Language: English
Authors: Otten, Sonja 
Keywords: Base stock policy; Inventory control; Product-form steady state; Queueing networks
Issue Date: 19-Oct-2022
Publisher: Springer Science + Business Media B.V
Source: Annals of Operations Research (in Press): (2022)
Abstract (english): 
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.
URI: http://hdl.handle.net/11420/13888
DOI: 10.15480/882.4836
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)
Appears in Collections:Publications with fulltext

Files in This Item:
File Description SizeFormat
s10479-022-05017-3.pdfVerlags-PDF852,55 kBAdobe PDFView/Open
Thumbnail
Show full item record

Page view(s)

48
checked on Apr 1, 2023

Download(s)

15
checked on Apr 1, 2023

Google ScholarTM

Check

Note about this record

Cite this record

Export

This item is licensed under a Creative Commons License Creative Commons