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Optimal Transportation Networks : Models and Theory, Paperback / softback Book

Optimal Transportation Networks : Models and Theory Paperback / softback

Part of the Lecture Notes in Mathematics series

Paperback / softback

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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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