Motivations, ideas and applications of ramified optimal transportation

DOI10.1051/m2an/2015028zbMath1331.49067OpenAlexW2090002890MaRDI QIDQ3460397

Qinglan Xia

Publication date: 7 January 2016

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: http://www.esaim-m2an.org/10.1051/m2an/2015028/pdf

zbMATH Keywords

directed graphoptimal transportationbranching networkramified transportationtransport path

Mathematics Subject Classification ID

Deterministic network models in operations research (90B10) Variational problems in a geometric measure-theoretic setting (49Q20) Optimization of shapes other than minimal surfaces (49Q10)

Related Items (10)

Ramified Optimal Transportation with Payoff on the Boundary ⋮ Branching structures emerging from a continuous optimal transport model ⋮ Optimal Shapes for Tree Roots ⋮ Spectral preconditioners for the efficient numerical solution of a continuous branched transport model ⋮ On the optimal shape of tree roots and branches ⋮ Competition models for plant stems ⋮ Variational problems for tree roots and branches ⋮ A 2-dimensional shape optimization problem for tree branches ⋮ A mass reducing flow for real-valued flat chains with applications to transport networks ⋮ Irrigable measures for weighted irrigation plans

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