Optimal transportation networks as flat chains
Optimal transportation networks as flat chains
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最佳运输网络为扁平链
DOI：
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发表时间：
2006
期刊：
影响因子：
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通讯作者：
E. Stepanov
中科院分区：
文献类型：
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作者：
E. Paolini;E. Stepanov
我们提供了一个模型的优化交通网络（如城市交通线，地铁或铁路网络）在一个地理区域（如城市）与给定的人口密度和服务和/或工作场所，后者是前者的日常运动的目的地。该模型是根据Federerer-Fleming电流理论制定的，并允许我们获得最佳网络的位置和必要的容量。研究了相关优化问题解的存在性和一些定性性质。此外，在一个重要的特定情况下，它表明，所提出的模型是等价于另一个已知的模型的优化的运输网络，后者不使用的语言的电流。
We provide a model of optimization of transportation networks (e.g. urban traffic lines, subway or railway networks) in a geographical area (e.g. a city) with given density of population and that of services and/or workplaces, the latter being the destinations of everyday movements of the former. The model is formulated in terms of the Federer‐Fleming theory of currents, and allows us to get both the position and the necessary capacity of the optimal network. Existence and some qualitative properties of solutions to the relevant optimization problem are studied. Also, in an important particular case it is shown that the model proposed is equivalent to another known model of optimization of a transportation network, the latter not using the language of currents.