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Optimal Transportation Networks
Bernot, Marc; Caselles, Vicent; Morel, Jean-Michel
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Description for Optimal Transportation Networks
Paperback. This book provides mathematical proof of several existence, structure and regularity properties, empirically observed in transportation networks. Series: Lecture Notes in Mathematics. Num Pages: 210 pages, 53 black & white illustrations, 5 colour illustrations, biography. BIC Classification: KJMV5; KJT; PBKQ; PBUH; PBW. Category: (P) Professional & Vocational. Dimension: 234 x 157 x 12. Weight in Grams: 386.
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
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
Product Details
Format
Paperback
Publication date
2008
Publisher
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Germany
Number of pages
210
Condition
New
Series
Lecture Notes in Mathematics
Number of Pages
200
Place of Publication
Berlin, Germany
ISBN
9783540693147
SKU
V9783540693147
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
Reviews for Optimal Transportation Networks
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 ... Read more