Optimal Transportation Networks
Language: English
Published by Springer, Springer Vieweg Sep 2008, 2008
- Softcover
- New
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This item is printed on demand - Print on Demand Titel. Neuware -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 0Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 220 pp. Englisch.
Seller Inventory # 9783540693147
- Title
- Optimal Transportation Networks
- Author
- Marc Bernot
- Publisher
- Springer, Springer Vieweg Sep 2008
- Publication year
- 2008
- Condition
- Neu
- Binding
- Taschenbuch
- Language
- English
- ISBN 10
- 3540693149
- ISBN 13
- 9783540693147
- Item weight
- 341 grams
- Dimensions
- 235x155x13 mm
"Synopsis" may belong to another edition of this title.
From the Back Cover
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.
"About the title" may belong to another edition of this title.
buchversandmimpf2000
Emtmannsberg, BAYE, Germany
AbeBooks seller since January 23, 2017
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