A variational model for urban planning with traffic congestion
Université Paris Dauphine, CEREMADE, UMR CNRS 7534, Pl. de Lattre de Tassigny, 75775 Paris Cedex 16, France; firstname.lastname@example.org
2 Scuola Normale Superiore, Classe di Scienze, Piazza dei Cavalieri 7, 56126, Pisa, Italy; email@example.com
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.
Mathematics Subject Classification: 49K20 / 49K30
Key words: Continuous transportation models / traffic congestion.
© EDP Sciences, SMAI, 2005