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Optimal Transportation Networks: Models and Theory

Optimal Transportation Networks: Models and Theory

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Product Details
Author:
Marc Bernot
Publisher:
Springer
Publication Date:
Sep 23, 2008
Number of pages:
200 pages
Binding:
Paperback or Softback
ISBN-10:
3540693149
ISBN-13:
9783540693147

Overview

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


  • | Author: Marc Bernot
  • | Publisher: Springer
  • | Publication Date: Sep 23, 2008
  • | Number of Pages: 200 pages
  • | Binding: Paperback or Softback
  • | ISBN-10: 3540693149
  • | ISBN-13: 9783540693147

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