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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.
@article{COCV_2005__11_4_595_0,
author = {Carlier, Guillaume and Santambrogio, Filippo},
title = {A variational model for urban planning with traffic congestion},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
pages = {595--613},
publisher = {EDP-Sciences},
volume = {11},
number = {4},
year = {2005},
doi = {10.1051/cocv:2005022},
mrnumber = {2167876},
zbl = {1085.49046},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.1051/cocv:2005022/}
}
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 PY - 2005 SP - 595 EP - 613 VL - 11 IS - 4 PB - EDP-Sciences UR - http://geodesic.mathdoc.fr/articles/10.1051/cocv:2005022/ DO - 10.1051/cocv:2005022 LA - en ID - COCV_2005__11_4_595_0 ER -
%0 Journal Article %A Carlier, Guillaume %A Santambrogio, Filippo %T A variational model for urban planning with traffic congestion %J ESAIM: Control, Optimisation and Calculus of Variations %D 2005 %P 595-613 %V 11 %N 4 %I EDP-Sciences %U http://geodesic.mathdoc.fr/articles/10.1051/cocv:2005022/ %R 10.1051/cocv:2005022 %G en %F COCV_2005__11_4_595_0
Carlier, Guillaume; Santambrogio, Filippo. A variational model for urban planning with traffic congestion. ESAIM: Control, Optimisation and Calculus of Variations, Tome 11 (2005) no. 4, pp. 595-613. doi: 10.1051/cocv:2005022
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