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A variational model for urban planning withtraffic congestion

Published online by Cambridge University Press:  15 September 2005

Guillaume Carlier  and
Filippo Santambrogio
Guillaume Carlier
Affiliation:
Université Paris Dauphine, CEREMADE, UMR CNRS 7534, Pl. de Lattre de Tassigny, 75775 Paris Cedex 16, France; carlier@ceremade.dauphine.fr
Filippo Santambrogio
Affiliation:
Scuola Normale Superiore, Classe di Scienze, Piazza dei Cavalieri 7, 56126, Pisa, Italy; f.santambrogio@sns.it
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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.

Keywords

Continuous transportation modelstraffic congestion.
Type
Research Article
Information
ESAIM: Control, Optimisation and Calculus of Variations , Volume 11 , Issue 4 , October 2005 , pp. 595 - 613
Copyright
© EDP Sciences, SMAI, 2005

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