Optimal Transportation Networks : Models and Theory by Jean-Michel Morel
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Author: Jean-Michel Morel
Number of Pages: 210 pages
Published Date: 04 Dec 2008
Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Publication Country: Berlin, Germany
Language: English
ISBN: 9783540693147
File size: 14 Mb
File Name: Optimal.Transportation.Networks.Models.and.Theory.pdf
Download Link: Optimal Transportation Networks Models and Theory
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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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