| 书目名称 | Optimal Transportation Networks |
| 副标题 | Models and Theory |
| 编辑 | Marc Bernot,Vicent Caselles,Jean-Michel Morel |
| 视频video | |
| 概述 | Includes supplementary material: |
| 丛书名称 | Lecture Notes in Mathematics |
| 图书封面 |  |
| 描述 | .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.. |
| 出版日期 | Book 2009 |
| 关键词 | Approximation; Irrigation; Monge-Kantorovich problem; Optimal transport; Traffic plans; Transportation ne |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-540-69315-4 |
| isbn_softcover | 978-3-540-69314-7 |
| isbn_ebook | 978-3-540-69315-4Series ISSN 0075-8434 Series E-ISSN 1617-9692 |
| issn_series | 0075-8434 |
| copyright | Springer-Verlag Berlin Heidelberg 2009 |
发表于 2025-3-21 16:52:08
