Optimal Transportation Networks : Models and Theory
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The work Optimal Transportation Networks : Models and Theory represents a distinct intellectual or artistic creation found in Boston University Libraries. This resource is a combination of several types including: Work, Language Material, Books.
The Resource
Optimal Transportation Networks : Models and Theory
Resource Information
The work Optimal Transportation Networks : Models and Theory represents a distinct intellectual or artistic creation found in Boston University Libraries. This resource is a combination of several types including: Work, Language Material, Books.
 Label
 Optimal Transportation Networks : Models and Theory
 Title remainder
 Models and Theory
 Statement of responsibility
 by Marc Bernot, Vicent Caselles, JeanMichel Morel
 Subject

 Engineering economy
 Mathematical optimization
 Mathematics
 Operations Research, Mathematical Programming
 Operations Research/Decision Theory
 Operations research
 Applications of Mathematics
 Calculus of Variations and Optimal Control; Optimization
 Electronic resources
 Engineering Economics, Organization, Logistics, Marketing
 Language
 eng
 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 MongeKantorovitch 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
 Image bit depth
 0
 LC call number

 QA315316
 QA402.3
 QA402.5QA402.6
 Literary form
 non fiction
 Series statement
 Lecture Notes in Mathematics,
 Series volume
 1955
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