Optimal Transportation Networks is popular PDF and ePub book, written by Marc Bernot in 2009, it is a fantastic choice for those who relish reading online the Business & Economics genre. Let's immerse ourselves in this engaging Business & Economics book by exploring the summary and details provided below. Remember, Optimal Transportation Networks can be Read Online from any device for your convenience.
Optimal Transportation Networks Book PDF Summary
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.
Detail Book of Optimal Transportation Networks PDF
- Author : Marc Bernot
- Release : 01 October 2024
- Publisher : Springer Science & Business Media
- ISBN : 9783540693147
- Genre : Business & Economics
- Total Page : 204 pages
- Language : English
- PDF File Size : 10,9 Mb
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