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Stability of optimal traffic plans in the irrigation problem

Colombo, M.; de Rosa, A.; Marchese, A.; Pegon, Paul; Prouff, A. (2022), Stability of optimal traffic plans in the irrigation problem, Discrete and Continuous Dynamical Systems, 42, 4, p. 1647-1667. 10.3934/dcds.2021167

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Type
Article accepté pour publication ou publié
Date
2022
Journal name
Discrete and Continuous Dynamical Systems
Volume
42
Number
4
Publisher
AIMS - American Institute of Mathematical Sciences
Published in
Paris
Pages
1647-1667
Publication identifier
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Author(s)
Colombo, M.
Ecole Polytechnique Fédérale de Lausanne [EPFL]
de Rosa, A.
Bocconi Institute for Data Science and Analytics [BIDSA]
Marchese, A.
Department of mathematics/Dipartimento di Matematica [Univ. Trento]
Pegon, Paul
CEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
Prouff, A.
Ecole Normale Supérieure Paris-Saclay [ENS Paris Saclay]
Abstract (EN)
We prove the stability of optimal traffic plans in branched transport. In particular, we show that any limit of optimal traffic plans is optimal as well. This is the Lagrangian counterpart of the recent Eulerian version proved in [CDM19a].
Subjects / Keywords
Transportation network; branched transpor; , irrigation problem; traffic plans; stability