Local matching indicators for transport problems with concave costs

Julien Salomon (1) , Julie Delon (2) , Andrei Sobolevskii (3, 4)

1 CEREMADE - CEntre de REcherches en MAthématiques de la DEcision
2 LTCI - Laboratoire Traitement et Communication de l'Information
3 ISCP - Interdisciplinary Scientific Center Poncelet
4 IITP - Kharkevich Institute for Information Transmission Problems

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.

Domaines: Optimisation et contrôle [math.OC]

Julien Salomon, Julie Delon, Andrei Sobolevskii. Local matching indicators for transport problems with concave costs. 2009. ⟨hal-00525994v1⟩