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arXiv · 1312.6508

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

Giuseppe Buttazzo·Filippo Santambrogio
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Abstract

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.

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Giuseppe Buttazzo, Filippo Santambrogio. 2013-12-23. A Mass Transportation Model for the Optimal Planning of an Urban Region. https://doi.org/10.1137/s0036141003438313

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