A variational model for urban planning with traffic congestion
Guillaume Carlier; Filippo Santambrogio
ESAIM: Control, Optimisation and Calculus of Variations (2010)
- Volume: 11, Issue: 4, page 595-613
- ISSN: 1292-8119
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topCarlier, Guillaume, and Santambrogio, Filippo. "A variational model for urban planning with traffic congestion." ESAIM: Control, Optimisation and Calculus of Variations 11.4 (2010): 595-613. <http://eudml.org/doc/90779>.
@article{Carlier2010,
abstract = {
We propose a variational model to describe the optimal distributions of residents and services in an urban area. The functional to be minimized involves an overall transportation cost taking into account congestion effects and two aditional terms which penalize concentration of residents and dispersion of services. We study regularity properties of the minimizers and treat in details some examples.
},
author = {Carlier, Guillaume, Santambrogio, Filippo},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
keywords = {Continuous transportation models; traffic congestion.; continuous transportation models; traffic congestion; regularity; Kantorovich potential; Wasserstein distance},
language = {eng},
month = {3},
number = {4},
pages = {595-613},
publisher = {EDP Sciences},
title = {A variational model for urban planning with traffic congestion},
url = {http://eudml.org/doc/90779},
volume = {11},
year = {2010},
}
TY - JOUR
AU - Carlier, Guillaume
AU - Santambrogio, Filippo
TI - A variational model for urban planning with traffic congestion
JO - ESAIM: Control, Optimisation and Calculus of Variations
DA - 2010/3//
PB - EDP Sciences
VL - 11
IS - 4
SP - 595
EP - 613
AB -
We propose a variational model to describe the optimal distributions of residents and services in an urban area. The functional to be minimized involves an overall transportation cost taking into account congestion effects and two aditional terms which penalize concentration of residents and dispersion of services. We study regularity properties of the minimizers and treat in details some examples.
LA - eng
KW - Continuous transportation models; traffic congestion.; continuous transportation models; traffic congestion; regularity; Kantorovich potential; Wasserstein distance
UR - http://eudml.org/doc/90779
ER -
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