Optimal transportation networks : models and theory /

Optimal transportation networks : models and theory /

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Bibliographic Details
Author / Creator:	Bernot, Marc.
Imprint:	Berlin : Springer, ©2009.
Description:	1 online resource (x, 200 pages) : illustrations.
Language:	English
Series:	Lecture notes in mathematics, 0075-8434 ; 1955 Lecture notes in mathematics (Springer-Verlag) ; 1955.
Subject:	Transportation -- Mathematical models. Traffic engineering -- Mathematical models. Transportation engineering -- Mathematical models. Traffic engineering -- Mathematical models. Transportation engineering -- Mathematical models. Transportation -- Mathematical models.
Format:	E-Resource Book
URL for this record:	http://pi.lib.uchicago.edu/1001/cat/bib/11071617

Hidden Bibliographic Details
Other authors / contributors:	Caselles, Vicent, 1960- Morel, Jean-Michel, 1953-
ISBN:	9783540693154 3540693157 9783540693147 3540693149
Notes:	Includes bibliographical references (pages 193-197) and index. Print version record.
Summary:	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.
Other form:	Print version: Bernot, Marc. Optimal transportation networks. Berlin ; New York : Springer, ©2009 9783540693147
Standard no.:	9786611853716 10.1007/978-3-540-69315-4
Publisher's no.:	12318872

Description
Summary:	This book provides mathematical proof of several existence, structure and regularity properties, empirically observed in transportation networks.
Physical Description:	1 online resource (x, 200 pages) : illustrations.
Bibliography:	Includes bibliographical references (pages 193-197) and index.
ISBN:	9783540693154 3540693157 9783540693147 3540693149
ISSN:	0075-8434 ;