Optimal Transportation Networks pdf epub mobi txt 电子书下载 2024

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Morel, Jean-Michel

200

$ 79.04

9783540693147

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发表于2024-11-24

Optimal Transportation Networks epub 下载 mobi 下载 pdf 下载 txt 电子书下载 2024

Optimal Transportation Networks pdf epub mobi txt 电子书下载 2024

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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.

Optimal Transportation Networks 下载 mobi epub pdf txt 电子书