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arXiv · 0912.0179

Local matching indicators for transport with concave costs

Julie Delon·Julien Salomon·A. Sobolevskii
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Abstract

In this note, we introduce a class of indicators that enable to compute efficiently optimal transport plans associated to arbitrary distributions of $N$ demands and $N$ supplies in $\mathbf{R}$ in the case where the cost function is concave. The computational cost of these indicators is small and independent of $N$. A hierarchical use of them enables to obtain an efficient algorithm.

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Julie Delon, Julien Salomon, A. Sobolevskii. 2010-07-27. Local matching indicators for transport with concave costs. https://doi.org/10.1016/j.crma.2010.07.010

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