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On Robustness of Equilibria in Dynamical Transportation Networks

Stålberg, Rasmus; Nilsson, Gustav LU and Como, Giacomo LU (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)
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author
organization
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
host publication
17th European Control Conference (ECC19)
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
language
English
LU publication?
yes
id
060446c2-34eb-4d45-a062-b068ab83940c
date added to LUP
2019-06-19 15:21:25
date last changed
2019-07-03 11:44:19
@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},
  language     = {eng},
  location     = {Naples, Italy},
  pages        = {2209--2214},
  publisher    = {IEEE--Institute of Electrical and Electronics Engineers Inc.},
  title        = {On Robustness of Equilibria in Dynamical Transportation Networks},
  year         = {2019},
}