3 papers
math.OC2025
Optimal transport paths with capacity induced cost function
Qinglan Xia, Haotian Sun
This article generalizes the study of ramified optimal transport with capacity constraint in transport multi-paths by generalizing the cost to , wh…
math.OC2024
Transport multi-paths with capacity constraints
Qinglan Xia, Haotian Sun
This article generalizes the study of branched/ramified optimal transportation to those with capacity constraints. Each admissible transport network studied here is represented by…
math.AP2023
Map-compatible decomposition of transport paths
Qinglan Xia, Haotian Sun
In the Monge-Kantorovich transport problem, the transport cost is expressed in terms of transport maps or transport plans, which play crucial roles there. A variant of the Monge-Ka…