Optimal Transportation Networks: Models and Theory

Marc Bernot,Vicent Caselles,Jean-Michel Morel

Optimal Transportation Networks: Models and Theory
Format
Paperback
Publisher
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Country
Germany
Published
23 September 2008
Pages
200
ISBN
9783540693147

Optimal Transportation Networks: Models and Theory

Marc Bernot,Vicent Caselles,Jean-Michel Morel

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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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