Inserted: 7 dec 2003
Last Updated: 2 nov 2005
Journal: SIAM J. Math. Anal.
We propose a model to describe the optimal distributions of residents and services in a prescribed urban area. The cost functional takes into accounts 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.
Keywords: urban planning, Mass transportation, Nonconvex Functionals over Measures