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Optimal Transportation Networks

Marc Bernot • Vicent Caselles • Jean-Michel Morel

Pocket

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200 sidor
2008

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

Författare: Marc Bernot, Vicent Caselles, Jean-Michel Morel
Format: Pocket/Paperback
ISBN: 9783540693147
Språk: Engelska
Antal sidor: 200
Utgivningsdatum: 2008-09-23
Förlag: Springer-Verlag Berlin and Heidelberg GmbH & Co. K