On Optimal Multivariate Couplings
On Optimal Multivariate Couplings
复制标题
关于最优多元耦合
DOI：
--
复制
发表时间：
1997
期刊：
影响因子：
--
通讯作者：
Ludger Uckelmann
中科院分区：
文献类型：
--
作者：
L. Rüschendorf;Ludger Uckelmann
作为最优多元耦合（运输）问题的表征的结果，我们获得了最优 Monge 解的存在性以及在一个质量分布是离散的情况下最优运输计划的显式构造方法。我们还给出了涉及两个以上质量分布的运输问题扩展的新特征。
As consequence of a characterization of optimal multivariate coupling (transportation) problems we obtain the existence of optimal Monge solutions as well as an explicit construction method for optimal transportation plans in the case that one mass distribution is discrete. We also give a new characterization of an extension of the transportation problem with more than two mass distributions involved.