Overview

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 0

Full Product Details

Author:   Marc Bernot ,  Vicent Caselles ,  Jean-Michel Morel
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition:   2009 ed.
Volume:   1955
Dimensions:   Width: 15.50cm , Height: 1.30cm , Length: 23.50cm
Weight:   0.343kg
ISBN:  

9783540693147

ISBN 10:   3540693149
Pages:   200
Publication Date:   23 September 2008
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Out of stock  
The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available.

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Reviews

From the reviews: The book aims to give a unified mathematical theory of branched transportation (or irrigation) networks. ! The logical structure of the book makes it easy to learn the theory. ! this book, in addition to being a great source of references is also extremely suitable for a study from scratch. The theory is presented while avoiding useless complications and keeping the language simple. I would also suggest this book to graduate students who want to enter this very interesting research field. (Luigi De Pascale, Mathematical Reviews, Issue 2010 e)

From the reviews: The book aims to give a unified mathematical theory of branched transportation (or irrigation) networks. ... The logical structure of the book makes it easy to learn the theory. ... this book, in addition to being a great source of references is also extremely suitable for a study from scratch. The theory is presented while avoiding useless complications and keeping the language simple. I would also suggest this book to graduate students who want to enter this very interesting research field. (Luigi De Pascale, Mathematical Reviews, Issue 2010 e)

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