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

Buttazzo, Giuseppe; Santambrogio, Filippo

Buttazzo, Giuseppe; Santambrogio, Filippo (2009), A Mass Transportation Model for the Optimal Planning of an Urban Region, SIAM Review, 51, 3, p. 593-610. http://dx.doi.org/10.1137/090759197

Type

Article accepté pour publication ou publié

External document link

http://arxiv.org/abs/1312.6508v1

Date

2009

Journal name

SIAM Review

Volume

Number

Publisher

SIAM

Pages

593-610

Abstract (EN)

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.

Subjects / Keywords

urban planning; mass transportation; nonconvex functionals over measures