Modeling skiers flows via Wardrope equilibrium in closed capacitated networks
Demyan Yarmoshik, Igor Ignashin, Ekaterina Sikacheva, Alexander Gasnikov
Published: 2025/9/16
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.