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arXiv · 2509.13392

Modeling skiers flows via Wardrope equilibrium in closed capacitated networks

Demyan Yarmoshik·Igor Ignashin·Ekaterina Sikacheva·Alexander Gasnikov
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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.

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Demyan Yarmoshik, Igor Ignashin, Ekaterina Sikacheva, Alexander Gasnikov. 2025-09-16. Modeling skiers flows via Wardrope equilibrium in closed capacitated networks. https://arxiv.org/abs/2509.13392

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