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Local matching indicators for transport problems with concave costs
Julie Delon1, Julien Salomon2, Andrei Sobolevskii3, 4

In this paper, we introduce a class of indicators that enable to compute efficiently optimal transport plans associated to arbitrary distributions of N demands and M supplies in 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.
1:  LTCI - Laboratoire Traitement et Communication de l'Information [Paris]
2:  CEREMADE - CEntre de REcherches en MAthématiques de la DEcision
3:  LIFR-MI2P - Laboratoire J.-V. Poncelet
4:  A.A.Kharkevich Institute for Information Transmission Problems