Optimal transport paths with capacity induced cost function
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866918159204745216 |
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| author | Xia, Qinglan Sun, Haotian |
| author_facet | Xia, Qinglan Sun, Haotian |
| 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_10557 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Optimal transport paths with capacity induced cost function Xia, Qinglan Sun, Haotian Optimization and Control 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. |
| title | Optimal transport paths with capacity induced cost function |
| topic | Optimization and Control |
| url | https://arxiv.org/abs/2510.10557 |