Optimal Transportation Networks

Models and Theory

AvMarc Bernot,Vicent Caselles

Häftad, Engelska, 2008

Del 1955 i serien Lecture Notes in Mathematics

588 kr

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Beskrivning

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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