Stability and optimality of multi-scale transportation networks with distributed dynamic tolls
(2019) 57th IEEE Conference on Decision and Control, CDC 2018 2018-December. p.211-216- Abstract
We study transportation networks controlled by dynamical feedback tolls. We consider a multiscale transportation network model whereby the dynamics of the traffic flows are intertwined with those of the drivers' route choices. The latter are influenced by the congestion status on the whole network as well as dynamic tolls set by the system operator. Our main result shows that a broad class of decentralized congestion-dependent tolls globally stabilise the transportation network around a Wardrop equilibrium. Moreover, using dynamic marginal cost tolls, stability of the transportation network can be guaranteed around the social optimum traffic assignment. This is particularly remarkable as the considered decentralized feedback toll... (More)
We study transportation networks controlled by dynamical feedback tolls. We consider a multiscale transportation network model whereby the dynamics of the traffic flows are intertwined with those of the drivers' route choices. The latter are influenced by the congestion status on the whole network as well as dynamic tolls set by the system operator. Our main result shows that a broad class of decentralized congestion-dependent tolls globally stabilise the transportation network around a Wardrop equilibrium. Moreover, using dynamic marginal cost tolls, stability of the transportation network can be guaranteed around the social optimum traffic assignment. This is particularly remarkable as the considered decentralized feedback toll policies do not require any global information about the network structure or the exogenous traffic load on the network or state and can be computed in a fully local way. We also evaluate the performance of these feedback toll policies both in the asymptotic and during the transient regime, through numerical simulations.
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- author
- Maggistro, Rosario LU and Como, Giacomo LU
- organization
- publishing date
- 2019-01-18
- type
- Chapter in Book/Report/Conference proceeding
- publication status
- published
- subject
- keywords
- dynamic pricing, dynamical flow networks, marginal cost pricing, robust distributed control, social-optimum traffic assignment, traffic control, Transportation networks, Wardrop equilibrium
- host publication
- 2018 IEEE Conference on Decision and Control, CDC 2018
- volume
- 2018-December
- article number
- 8619804
- pages
- 6 pages
- publisher
- IEEE - Institute of Electrical and Electronics Engineers Inc.
- conference name
- 57th IEEE Conference on Decision and Control, CDC 2018
- conference location
- Miami, United States
- conference dates
- 2018-12-17 - 2018-12-19
- external identifiers
-
- scopus:85062187954
- ISBN
- 9781538613955
- DOI
- 10.1109/CDC.2018.8619804
- language
- English
- LU publication?
- yes
- id
- 08e5c10c-cccf-49c0-9d88-2625d3cdbc1d
- date added to LUP
- 2019-06-29 14:18:05
- date last changed
- 2022-05-03 23:10:58
@inproceedings{08e5c10c-cccf-49c0-9d88-2625d3cdbc1d,
abstract = {{<p>We study transportation networks controlled by dynamical feedback tolls. We consider a multiscale transportation network model whereby the dynamics of the traffic flows are intertwined with those of the drivers' route choices. The latter are influenced by the congestion status on the whole network as well as dynamic tolls set by the system operator. Our main result shows that a broad class of decentralized congestion-dependent tolls globally stabilise the transportation network around a Wardrop equilibrium. Moreover, using dynamic marginal cost tolls, stability of the transportation network can be guaranteed around the social optimum traffic assignment. This is particularly remarkable as the considered decentralized feedback toll policies do not require any global information about the network structure or the exogenous traffic load on the network or state and can be computed in a fully local way. We also evaluate the performance of these feedback toll policies both in the asymptotic and during the transient regime, through numerical simulations.</p>}},
author = {{Maggistro, Rosario and Como, Giacomo}},
booktitle = {{2018 IEEE Conference on Decision and Control, CDC 2018}},
isbn = {{9781538613955}},
keywords = {{dynamic pricing; dynamical flow networks; marginal cost pricing; robust distributed control; social-optimum traffic assignment; traffic control; Transportation networks; Wardrop equilibrium}},
language = {{eng}},
month = {{01}},
pages = {{211--216}},
publisher = {{IEEE - Institute of Electrical and Electronics Engineers Inc.}},
title = {{Stability and optimality of multi-scale transportation networks with distributed dynamic tolls}},
url = {{http://dx.doi.org/10.1109/CDC.2018.8619804}},
doi = {{10.1109/CDC.2018.8619804}},
volume = {{2018-December}},
year = {{2019}},
}