Notice of RetractionNumerical Simulation of Optimal Transport Paths
Notice of RetractionNumerical Simulation of Optimal Transport Paths
复制标题
撤回通知最佳传输路径的数值模拟
DOI：
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发表时间：
2008
期刊：
影响因子：
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通讯作者：
Qinglan Xia
中科院分区：
文献类型：
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作者：
Qinglan Xia
具有分支结构的运输网络不仅可以在自然界中观察到，如在树木、血管等中，而且可以在有效设计的运输系统中观察到，如在铁路配置和邮政递送网络中使用的。在数学上，这样的分支运输网络由两个概率度量（表示源和目标）之间的最优运输路径来建模。这种运输路径的一个基本特征是有利于大量的群体运输。本文提供了最佳运输路径的数值模拟。我们首先构建一个初始的传输路径，然后修改路径尽可能多地使用本地和全球的最小化算法。
Transport networks with branching structures are observable not only in nature as in trees, blood vessels, etc. but also in efficiently designed transport systems such as used in railway configurations and postage delivery networks. Mathematically, such a branching transport network is modeled by an optimal transport path between two probability measures (representing the source and the target). An essential feature of such a transport path is to favor group transportation in a large amount. This article provides numerical simulation of optimal transport paths. We first construct an initial transport path, and then modify the path as much as possible by using both local and global minimization algorithms.