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Optimal Transportation Networks: Models and Theory

Optimal Transportation Networks: Models and Theory

Paperback

Series: Lecture Notes in Mathematics, Book 1955

Business GeneralGeneral Mathematics

ISBN10: 3540693149
ISBN13: 9783540693147
Publisher: Springer
Published: Sep 23 2008
Pages: 200
Weight: 0.85
Height: 0.50 Width: 6.10 Depth: 9.10
Language: English
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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