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traffic congestion.

ESAIM: Control, Optimisation and Calculus of Variations (1)

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A variational model for urban planning withtraffic congestion
Guillaume Carlier, Filippo Santambrogio
Journal:

ESAIM: Control, Optimisation and Calculus of Variations / Volume 11 / Issue 4 / October 2005

Published online by Cambridge University Press:

15 September 2005, pp. 595-613

Print publication:

October 2005
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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.