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Bernot / Morel / Caselles

Optimal Transportation Networks

Models and Theory

Medium: Buch
ISBN: 978-3-540-69314-7
Verlag: Springer Berlin Heidelberg
Erscheinungstermin: 23.09.2008
Lieferfrist: bis zu 10 Tage
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

Produkteigenschaften


  • Artikelnummer: 9783540693147
  • Medium: Buch
  • ISBN: 978-3-540-69314-7
  • Verlag: Springer Berlin Heidelberg
  • Erscheinungstermin: 23.09.2008
  • Sprache(n): Englisch
  • Auflage: 2009
  • Serie: Lecture Notes in Mathematics
  • Produktform: Kartoniert, Paperback
  • Gewicht: 341 g
  • Seiten: 200
  • Format (B x H x T): 155 x 235 x 13 mm
  • Ausgabetyp: Kein, Unbekannt

Autoren/Hrsg.

Autoren

Bernot, Marc

Morel, Jean-Michel

Caselles, Vicent

Introduction: The Models.- The Mathematical Models.- Traffic Plans.- The Structure of Optimal Traffic Plans.- Operations on Traffic Plans.- Traffic Plans and Distances between Measures.- The Tree Structure of Optimal Traffic Plans and their Approximation.- Interior and Boundary Regularity.- The Equivalence of Various Models.- Irrigability and Dimension.- The Landscape of an Optimal Pattern.- The Gilbert-Steiner Problem.- Dirac to Lebesgue Segment: A Case Study.- Application: Embedded Irrigation Networks.- Open Problems.