A Mass Transportation Model for the Optimal Planning of an Urban Region
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 publiéExternal document link
http://arxiv.org/abs/1312.6508v1Date
2009Journal name
SIAM ReviewVolume
51Number
3Publisher
SIAM
Pages
593-610
Publication identifier
Metadata
Show full item recordAbstract (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 measuresRelated items
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