A Mass Transportation Model for the Optimal Planning of an Urban Region

Giuseppe Buttazzo (1) , Filippo Santambrogio (2)

1 Dipartimento di Matematica [Pisa]
2 CEREMADE - CEntre de REcherches en MAthématiques de la DEcision

We propose a model to describe the optimal distributions of residents and services in a prescribed urban area. The cost functional takes into account the transportation costs (according to a Monge--Kantorovich-type criterion) and two additional terms which penalize concentration of residents and dispersion of services. The tools we use are the Monge--Kantorovich mass transportation theory and the theory of nonconvex functionals defined on measures.

Domaines: Analyse classique [math.CA]; Optimisation et contrôle [math.OC]

Giuseppe Buttazzo, Filippo Santambrogio. A Mass Transportation Model for the Optimal Planning of an Urban Region. SIAM Review, 2009, 51 (3), pp.593-610. ⟨hal-00417271⟩