On Robustness of Equilibria in Dynamical Transportation Networks
(2019) European Control Conference 2019 p.2209-2214- Abstract
- With growing traffic demands, transportation networks become more and more congested and prone to disruptions. In this paper, we study how different perturbations affect the free flow equilibria, i.e., equilibria where no congestion effects are present, in transportation networks. More specifically, if and when the equilibrium of the perturbed dynamics is still in free flow. A generalized cell transmission model models the dynamics of the transportation network, and the perturbations considered are perturbations in the exogenous inflows, flow capacity drops, and perturbations in the routing, i.e., when drivers deviate from their normal route preferences. The paper also shows that social optimum assignments in traffic networks, may not be... (More)
- With growing traffic demands, transportation networks become more and more congested and prone to disruptions. In this paper, we study how different perturbations affect the free flow equilibria, i.e., equilibria where no congestion effects are present, in transportation networks. More specifically, if and when the equilibrium of the perturbed dynamics is still in free flow. A generalized cell transmission model models the dynamics of the transportation network, and the perturbations considered are perturbations in the exogenous inflows, flow capacity drops, and perturbations in the routing, i.e., when drivers deviate from their normal route preferences. The paper also shows that social optimum assignments in traffic networks, may not be the most robust ones. (Less)
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/060446c2-34eb-4d45-a062-b068ab83940c
- author
- Stålberg, Rasmus ; Nilsson, Gustav LU and Como, Giacomo LU
- organization
- publishing date
- 2019
- type
- Chapter in Book/Report/Conference proceeding
- publication status
- published
- subject
- host publication
- 2019 18th European Control Conference (ECC)
- pages
- 2209 - 2214
- publisher
- IEEE - Institute of Electrical and Electronics Engineers Inc.
- conference name
- European Control Conference 2019
- conference location
- Naples, Italy
- conference dates
- 2019-06-25 - 2019-06-28
- external identifiers
-
- scopus:85071532782
- ISBN
- 978-3-907144-00-8
- DOI
- 10.23919/ECC.2019.8796234
- language
- English
- LU publication?
- yes
- id
- 060446c2-34eb-4d45-a062-b068ab83940c
- date added to LUP
- 2019-06-19 15:21:25
- date last changed
- 2022-04-26 02:01:38
@inproceedings{060446c2-34eb-4d45-a062-b068ab83940c, abstract = {{With growing traffic demands, transportation networks become more and more congested and prone to disruptions. In this paper, we study how different perturbations affect the free flow equilibria, i.e., equilibria where no congestion effects are present, in transportation networks. More specifically, if and when the equilibrium of the perturbed dynamics is still in free flow. A generalized cell transmission model models the dynamics of the transportation network, and the perturbations considered are perturbations in the exogenous inflows, flow capacity drops, and perturbations in the routing, i.e., when drivers deviate from their normal route preferences. The paper also shows that social optimum assignments in traffic networks, may not be the most robust ones.}}, author = {{Stålberg, Rasmus and Nilsson, Gustav and Como, Giacomo}}, booktitle = {{2019 18th European Control Conference (ECC)}}, isbn = {{978-3-907144-00-8}}, language = {{eng}}, pages = {{2209--2214}}, publisher = {{IEEE - Institute of Electrical and Electronics Engineers Inc.}}, title = {{On Robustness of Equilibria in Dynamical Transportation Networks}}, url = {{https://lup.lub.lu.se/search/files/66756431/RobustnessEquilibria.pdf}}, doi = {{10.23919/ECC.2019.8796234}}, year = {{2019}}, }