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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 publié
External document link
http://arxiv.org/abs/1312.6508v1
Date
2009
Journal name
SIAM Review
Volume
51
Number
3
Publisher
SIAM
Pages
593-610
Publication identifier
http://dx.doi.org/10.1137/090759197
Metadata
Show full item record
Author(s)
Buttazzo, Giuseppe
Santambrogio, Filippo
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

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