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.
@article{arxiv.2509.13392,
title = {Modeling skiers flows via Wardrope equilibrium in closed capacitated networks},
author = {Demyan Yarmoshik and Igor Ignashin and Ekaterina Sikacheva and Alexander Gasnikov},
journal= {arXiv preprint arXiv:2509.13392},
year = {2025}
}
Comments
Corrected the statement about the uniqueness of waiting times: lift waiting times are not necessarily unique, but cycle waiting times are