Dynamic optimal transport on networks

  • We study a dynamic optimal transport problem on a network. Despite the cost for transport along the edges, an additional cost, scaled with a parameter κ, has to be paid for interchanging mass between edges and vertices. We show existence f minimisers using duality and discuss the relationship of the model to other metrics such as Fisher-Rao and the classical Wasserstein metric. Finally, we examine the limiting behaviour of the model in terms of the parameter κ.

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Author:Martin Burger, Ina Humpert, Jan-Frederik PietschmannORCiDGND
Frontdoor URLhttps://opus.bibliothek.uni-augsburg.de/opus4/102126
Parent Title (English):arXiv
Year of first Publication:2021
Release Date:2023/02/20
Institutes:Mathematisch-Naturwissenschaftlich-Technische Fakultät
Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Mathematik
Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Mathematik / Lehrstuhl für Inverse Probleme
Latest Publications (not yet published in print):Aktuelle Publikationen (noch nicht gedruckt erschienen)