Optimal Transportation Networks | Models and Theory

Marc Bernot (u. a.)

ISBN 10: 3540693149 / ISBN 13: 9783540693147

Published by Springer, 2008

About this Item

Optimal Transportation Networks | Models and Theory | Marc Bernot (u. a.) | Taschenbuch | Lecture Notes in Mathematics | x | Englisch | 2008 | Springer | EAN 9783540693147 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu.

Seller Inventory # 101791830

Bibliographic Details

• Title: Optimal Transportation Networks | Models and Theory
• Publisher: Springer
• Publication Date: 2008
• Language: English
• ISBN 10: 3540693149
• ISBN 13: 9783540693147
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 235W x 155H x 13D millimeters 235 millimeters width by 155 millimeters height by 13 millimeters depth
• Weight: 341 grams
• Seller catalogs:
  • Bücher

About this title

Synopsis

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 whose essential feature is to favour wide roads. Such a branched structure is observable in ground transportation networks, in draining and irrigation systems, in electrical power supply systems, and in natural counterparts such as blood vessels or the branches of trees. These lectures provide mathematical proof of several existence, structure and regularity properties, empirically observed in transportation networks. The link with previous discrete physical models of irrigation and erosion models in geomorphology and with discrete telecommunication and transportation models is discussed. It will be mathematically proven that the majority fit in the simple model sketched in this volume.