Optimal Transportation Networks (Lecture Notes in Mathematics, #1955)

by Marc Bernot, Vicent Caselles, and Jean-Michel Morel

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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
  • ISBN10 3540865306
  • ISBN13 9783540865308
  • Publish Date 15 February 2009 (first published 23 September 2008)
  • Publish Status Withdrawn
  • Out of Print 18 October 2014
  • Publish Country US
  • Imprint Springer
  • Format Paperback (US Trade)
  • Pages 220
  • Language English