Publication
Application of Wasserstein attraction ows for optimal transport in network systems
Conference Article
Conference
IEEE Conference on Decision and Control (CDC)
Edition
60th
Pages
4058-4063
Doc link
https://doi.org/10.1109/CDC45484.2021.9683185
File
Abstract
This paper presents a Wasserstein attraction approach for solving dynamic mass transport problems over networks. In the transport problem over networks, we start with a distribution over the set of nodes that needs to be “transported” to a target distribution accounting for the network topology. We exploit the specific structure of the problem, characterized by the computation of implicit gradient steps, and formulate an approach based on discretized flows. As a result, our proposed algorithm relies on the iterative computation of constrained Wasserstein barycenters. We show how the proposed method finds approximate solutions to the network transport problem, taking into account the topology of the network, the capacity of the communication channels, and the capacity of the individual nodes.
Categories
automation, control theory, optimisation.
Author keywords
Wasserstein metrics, optimal transport, network systems, large-scale systems
Scientific reference
F. Arqué, C. Uribe and C. Ocampo-Martínez. Application of Wasserstein attraction ows for optimal transport in network systems, 60th IEEE Conference on Decision and Control, 2021, Austin, TX, USA (Virtual), pp. 4058-4063.
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