On Resilience of Multicommodity Dynamical Flow Networks
(2014) 53rd IEEE Conference on Decision and Control p.5125-5130- Abstract
- Dynamical flow networks with heterogeneous routing are analyzed in terms of stability and resilience to perturbations. Particles flow through the network and, at each junction, decide which downstream link to take on the basis of the local state of the network. Differently from single-commodity scenarios, particles belong to different classes, or commodities, with different origins and destinations, each reacting differently to the observed state of the network. As such, the commodities compete for the shared resource that is the flow capacity of each link of the network. This implies that, in contrast to the single-commodity case, the resulting dynamical system is not monotone, hence harder to analyze. It is shown that, in an acyclic... (More)
- Dynamical flow networks with heterogeneous routing are analyzed in terms of stability and resilience to perturbations. Particles flow through the network and, at each junction, decide which downstream link to take on the basis of the local state of the network. Differently from single-commodity scenarios, particles belong to different classes, or commodities, with different origins and destinations, each reacting differently to the observed state of the network. As such, the commodities compete for the shared resource that is the flow capacity of each link of the network. This implies that, in contrast to the single-commodity case, the resulting dynamical system is not monotone, hence harder to analyze. It is shown that, in an acyclic network, when a feasible globally asymptotically stable aggregate equilibrium exists, then each commodity also admits a unique equilibrium. In addition, a sufficient condition for stability is provided. Finally, it is shown that, differently from the single-commodity case, when this condition is not satisfied, the possible unique equilibrium may be arbitrarily fragile to perturbations of the network. (Less)
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/4820629
- author
- Nilsson, Gustav LU ; Como, Giacomo LU and Lovisari, Enrico LU
- organization
- publishing date
- 2014
- type
- Chapter in Book/Report/Conference proceeding
- publication status
- published
- subject
- keywords
- Dynamical flow networks, multicommodity flows, resilience, distributed routing, heterogeneous routing
- host publication
- 53rd IEEE Conference on Decision and Control
- pages
- 5125 - 5130
- conference name
- 53rd IEEE Conference on Decision and Control
- conference location
- Los Angeles, CA, United States
- conference dates
- 2014-12-15
- external identifiers
-
- scopus:84988292061
- ISBN
- 978-1-4799-7746-8
- DOI
- 10.1109/CDC.2014.7040190
- project
- Modeling and Control of Large Scale Transportation Networks
- LCCC-distributed
- language
- English
- LU publication?
- yes
- id
- 8f3e46d1-32b1-4de8-b1b5-82aa35185d04 (old id 4820629)
- date added to LUP
- 2016-04-04 14:29:43
- date last changed
- 2022-05-02 01:48:51
@inproceedings{8f3e46d1-32b1-4de8-b1b5-82aa35185d04,
abstract = {{Dynamical flow networks with heterogeneous routing are analyzed in terms of stability and resilience to perturbations. Particles flow through the network and, at each junction, decide which downstream link to take on the basis of the local state of the network. Differently from single-commodity scenarios, particles belong to different classes, or commodities, with different origins and destinations, each reacting differently to the observed state of the network. As such, the commodities compete for the shared resource that is the flow capacity of each link of the network. This implies that, in contrast to the single-commodity case, the resulting dynamical system is not monotone, hence harder to analyze. It is shown that, in an acyclic network, when a feasible globally asymptotically stable aggregate equilibrium exists, then each commodity also admits a unique equilibrium. In addition, a sufficient condition for stability is provided. Finally, it is shown that, differently from the single-commodity case, when this condition is not satisfied, the possible unique equilibrium may be arbitrarily fragile to perturbations of the network.}},
author = {{Nilsson, Gustav and Como, Giacomo and Lovisari, Enrico}},
booktitle = {{53rd IEEE Conference on Decision and Control}},
isbn = {{978-1-4799-7746-8}},
keywords = {{Dynamical flow networks; multicommodity flows; resilience; distributed routing; heterogeneous routing}},
language = {{eng}},
pages = {{5125--5130}},
title = {{On Resilience of Multicommodity Dynamical Flow Networks}},
url = {{https://lup.lub.lu.se/search/files/6373454/4820641.pdf}},
doi = {{10.1109/CDC.2014.7040190}},
year = {{2014}},
}