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 |