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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2510.10557 |
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Table of Contents:
- This article generalizes the study of ramified optimal transport with capacity constraint in transport multi-paths by generalizing the $\mathbf{M}_α$ cost to $\mathbf{M}_{α,c}$, which incorporates capacity constraints into the cost function. Equipped with $\mathbf{M}_{α,c}$ cost, we prove the existence of optimal transport path, $\mathbf{M}_{α,c}$ related inequalities, decomposition of any general transport paths, and occurrence of direct line segments in an optimal transport path.