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

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.

14 pages, 3 figures, the final publication is available at http://epubs.siam.org/journal/siread

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