Optimal transportation networks : models and theory /
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| Author / Creator: | Bernot, Marc. |
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| Edition: | 1. ed. |
| Imprint: | Berlin : Springer, c2009. |
| Description: | x, 200 p. : ill. (some col.), maps ; 24 cm. |
| Language: | English |
| Series: | Lecture notes in mathematics, 0075-8434 ; 1955 Lecture notes in mathematics (Springer-Verlag) ; 1955. |
| Subject: | |
| Format: | Print Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/7363426 |
| Summary: | 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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| Physical Description: | x, 200 p. : ill. (some col.), maps ; 24 cm. |
| Bibliography: | Includes bibliographical references (p. 193-197) and index. |
| ISBN: | 9783540693147 3540693149 |
| ISSN: | 0075-8434 ; |
