Optimal transportation networks : models and theory
The transportation problem can be formalized as the problem of finding the optimal way to transport a given measure into another with the same mass. In contrast to the Monge-Kantorovitch problem, recent approaches model the branched structure of such supply networks as minima of an energy functional...
Shranjeno v:
| Auteurs principaux: | , , |
|---|---|
| Format: | Livre numérique |
| Jezik: | Anglais |
| Izdano: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
[20..].
Cham : Springer Nature |
| Izdaja: | 1st ed. 2009. |
| Serija: | Lecture Notes in Mathematics
1955 |
| Teme: | |
| Online dostop: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Sporočilo: |
Description d'apès consultation du 23 janvier 2012 Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Optimal transportation networks, models and theory, Marc Bernot, Vicent Caselles, Jean-Michel Morel, Berlin, Springer, 2009, 1 vol. (X-200 p.), Lecture notes in mathematics, 978-3-540-69314-7 • Optimal Transportation Networks, Texte imprimé, 9783540865308 • Optimal transportation networks, models and theory, Marc Bernot, Vicent Caselles, Jean-Michel Morel, Berlin, Springer, 2009, 1 vol. (X-200 p.), Lecture notes in mathematics, 978-3-540-69314-7 |
Kazalo:
- 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.
- 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