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Optimal Transportation Networks - Models and Theory (Paperback, 2009 ed.) Loot Price: R1,623
Discovery Miles 16 230
Optimal Transportation Networks - Models and Theory (Paperback, 2009 ed.): Marc Bernot, Vicent Caselles, Jean-Michel Morel

Optimal Transportation Networks - Models and Theory (Paperback, 2009 ed.)

Marc Bernot, Vicent Caselles, Jean-Michel Morel

Series: Lecture Notes in Mathematics, 1955

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Loot Price R1,623 Discovery Miles 16 230 | Repayment Terms: R152 pm x 12*

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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.

General

Imprint: Springer-Verlag
Country of origin: Germany
Series: Lecture Notes in Mathematics, 1955
Release date: August 2008
First published: 2008
Authors: Marc Bernot • Vicent Caselles • Jean-Michel Morel
Dimensions: 235 x 155 x 12mm (L x W x T)
Format: Paperback
Pages: 200
Edition: 2009 ed.
ISBN-13: 978-3-540-69314-7
Categories: Books > Professional & Technical > Technology: general issues > Engineering: general
Books > Business & Economics > Business & management > Management & management techniques > Operational research
Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Calculus of variations
Books > Science & Mathematics > Mathematics > Applied mathematics > General
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LSN: 3-540-69314-9
Barcode: 9783540693147

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