A variational model for urban planning with traffic congestion
ESAIM: Control, Optimisation and Calculus of Variations, Tome 11 (2005) no. 4, pp. 595-613.

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.

DOI : 10.1051/cocv:2005022
Classification : 49K20, 49K30
Mots-clés : continuous transportation models, traffic congestion 
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     title = {A variational model for urban planning with traffic congestion},
     journal = {ESAIM: Control, Optimisation and Calculus of Variations},
     pages = {595--613},
     publisher = {EDP-Sciences},
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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. http://archive.numdam.org/articles/10.1051/cocv:2005022/

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