Optimal transport paths with capacity induced cost function
Abstract
This article generalizes the study of ramified optimal transport with capacity constraint in transport multi-paths by generalizing the Mα cost to Mα,c, which incorporates capacity constraints into the cost function. Equipped with Mα,c cost, we prove the existence of optimal transport path, Mα,c related inequalities, decomposition of any general transport paths, and occurrence of direct line segments in an optimal transport path.
0
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.