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Optimal Transportation Networks: Models and Theory (Lecture Notes in Mathematics, 1955)
Marc Bernot; Vicent Caselles; Jean-Michel Morel (Autor)
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Springer
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Optimal Transportation Networks: Models and Theory (Lecture Notes in Mathematics, 1955) - Marc Bernot; Vicent Caselles; Jean-Michel Morel
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Reseña del libro "Optimal Transportation Networks: Models and Theory (Lecture Notes in Mathematics, 1955)"
The transportation problem can be formalized as the problem of ?nding + ? the optimal paths to transport a measure ? onto a measure ? with the same mass. In contrast with the Monge-Kantorovich formalization, recent approaches model the branched structure of such supply networks by an energy functional whose essential feature is to favor wide roads. Given a ?ow ? in a tube or a road or a wire, the transportation cost per unit length ? is supposed to be proportional to ? with 0
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