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Marc Bernot, Vicent Caselles, Jean-Michel Morel - Optimal Transportation Networks, Häftad

Häftad, Engelska, 2008

Optimal Transportation Networks

Models and Theory

Av Marc Bernot, Vicent Caselles, Jean-Michel Morel

Del 1955 i serien Lecture Notes in Mathematics

599 kr

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Beskrivning
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
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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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