Optimal Locations and the Mass Transport Problem
نویسندگان
چکیده
The Monge-Kantorovich mass transport problem is to find the transport plan that minimizes the cost (1). This was formulated by Kantorovich in the 1940's, generalizing Monge's format in 1781. Monge's original formulation of the problem assumes that and asks for BßC œ lBCl a b the existence of a mass-preserving map from the support, Spt ,of 0 a b . . to Spt that minimizes a b / the cost ( a b a b V7 Bß0 B ... (2)
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