{"ID":2870467,"CreatedAt":"2026-06-01T04:54:23.091178241Z","UpdatedAt":"2026-06-01T04:54:23.091178241Z","DeletedAt":null,"paper_url":"https://arxiv.org/abs/2509.13392","arxiv_id":"2509.13392","title":"Modeling skiers flows via Wardrope equilibrium in closed capacitated networks","abstract":"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.","short_abstract":"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 sho...","url_abs":"https://arxiv.org/abs/2509.13392","url_pdf":"https://arxiv.org/pdf/2509.13392v2","authors":"[\"Demyan Yarmoshik\",\"Igor Ignashin\",\"Ekaterina Sikacheva\",\"Alexander Gasnikov\"]","published":"2025-09-16T14:42:59Z","proceeding":"eess.SY","tasks":"[\"eess.SY\",\"cs.GT\"]","methods":"[]","has_code":false}