Daniel Ritterskamp
Revealing instabilities in a generalized triadic supply network: a bifurcation analysis
Ritterskamp, Daniel; Demirel, Guvan; MacCarthy, Bart; Rudolf, Lars; Champneys, Alan; Gross, Thilo
Authors
Guvan Demirel
BARTHOLOMEW MACCARTHY BART.MACCARTHY@NOTTINGHAM.AC.UK
Professor of Operations Management
Lars Rudolf
Alan Champneys
Thilo Gross
Abstract
Supply networks are exposed to instabilities and thus a high level of risk. To mitigate this risk, it is necessary to understand how instabilities are formed in supply networks. In this paper, we focus on instabilities in inventory dynamics that develop due to the topology of the supply network. To be able to capture these topology-induced instabilities, we use a method called generalized modeling, a minimally specified modeling approach adopted from ecology. This method maps the functional dependencies of production rates on the inventory levels of different parts and products, which are imposed by the network topology, to a set of elasticity parameters. We perform a bifurcation analysis to investigate how these elasticities affect the stability. First, we show that dyads and serial supply chains are immune to topology-induced instabilities. In contrast, in a simple triadic network, where a supplier acts as both a first and a second tier supplier, we can identify instabilities that emerge from saddle-node, Hopf, and global homoclinic bifurcations. These bifurcations lead to different types of dynamical behavior, including exponential convergence to and divergence from a steady state, temporary oscillations around a steady state, and co-existence of different types of dynamics, depending on initial conditions. Finally, we discuss managerial implications of the results.
Citation
Ritterskamp, D., Demirel, G., MacCarthy, B., Rudolf, L., Champneys, A., & Gross, T. (2018). Revealing instabilities in a generalized triadic supply network: a bifurcation analysis. Chaos, 28(7), Article 073103. https://doi.org/10.1063/1.5026746
Journal Article Type | Article |
---|---|
Acceptance Date | Jun 13, 2018 |
Online Publication Date | Jul 20, 2018 |
Publication Date | Jul 30, 2018 |
Deposit Date | Sep 11, 2018 |
Publicly Available Date | Sep 12, 2018 |
Print ISSN | 1054-1500 |
Electronic ISSN | 1089-7682 |
Publisher | American Institute of Physics |
Peer Reviewed | Peer Reviewed |
Volume | 28 |
Issue | 7 |
Article Number | 073103 |
DOI | https://doi.org/10.1063/1.5026746 |
Public URL | https://nottingham-repository.worktribe.com/output/1068880 |
Publisher URL | https://aip.scitation.org/doi/10.1063/1.5026746 |
Files
Revealing Instabilities
(1.3 Mb)
PDF
Publisher Licence URL
https://creativecommons.org/licenses/by/4.0/
You might also like
Group decision support for product lifecycle management
(2020)
Journal Article
Organisational learning in SMEs: a process improvement perspective
(2017)
Journal Article
Supplier quality improvement: the value of information under uncertainty
(2017)
Journal Article
Downloadable Citations
About Repository@Nottingham
Administrator e-mail: digital-library-support@nottingham.ac.uk
This application uses the following open-source libraries:
SheetJS Community Edition
Apache License Version 2.0 (http://www.apache.org/licenses/)
PDF.js
Apache License Version 2.0 (http://www.apache.org/licenses/)
Font Awesome
SIL OFL 1.1 (http://scripts.sil.org/OFL)
MIT License (http://opensource.org/licenses/mit-license.html)
CC BY 3.0 ( http://creativecommons.org/licenses/by/3.0/)
Powered by Worktribe © 2024
Advanced Search