Modeling skiers flows via Wardrope equilibrium in closed capacitated networks
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arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866917167239266304 |
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| author | Yarmoshik, Demyan Ignashin, Igor Sikacheva, Ekaterina Gasnikov, Alexander |
| author_facet | Yarmoshik, Demyan Ignashin, Igor Sikacheva, Ekaterina Gasnikov, Alexander |
| contents | We propose an equilibrium model of ski resorts where users are assigned to cycles in a closed network. As queues form on lifts with limited capacity, we derive an efficient way to find waiting times via convex optimization. The equilibrium problem is formulated as a variational inequality, and numerical experiments show that it can be solved using standard algorithms. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_13392 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Modeling skiers flows via Wardrope equilibrium in closed capacitated networks Yarmoshik, Demyan Ignashin, Igor Sikacheva, Ekaterina Gasnikov, Alexander Systems and Control Computer Science and Game Theory We propose an equilibrium model of ski resorts where users are assigned to cycles in a closed network. As queues form on lifts with limited capacity, we derive an efficient way to find waiting times via convex optimization. The equilibrium problem is formulated as a variational inequality, and numerical experiments show that it can be solved using standard algorithms. |
| title | Modeling skiers flows via Wardrope equilibrium in closed capacitated networks |
| topic | Systems and Control Computer Science and Game Theory |
| url | https://arxiv.org/abs/2509.13392 |