Queueing and cabin circulationT_loop = 2L / v_eff + 2t_dwell
h = max(t_dispatch_floor, T_loop / N)
μ = 60C / h [people/min]
Q(t) ≈ max(0, Q₀ + (λ − μ)t/60)
Motion and energyv_eff = v · (1 − 0.018u) · (1 − 0.10s) · f_gust · f_decision
F_drag = ½ρC_dAv² · P_drag = F_drag · v
P_climb ≈ m g v · grade
E_trip ≈ [(m_loaded − 0.65m_empty)gH + 2F_dragL(1 + 0.35s)] / 3.6×10⁶
Assumptions- Arrivals are a deterministic mean flow; the school groups are timed pulses.
- Cabin headway uses a fleet circulation approximation. Passenger service is discrete at each departure.
- Average waiting time is estimated from the accumulated queue-person-seconds divided by boarded passengers.
- Energy is approximate: one loaded ascent, an empty regenerative return, fixed guest/cabin mass and a simplified drag model.
- Wind and snow effects are illustrative factors, not real operating limits. Terrain gradient is constant.
Honest simplificationsThis is an educational queueing/energy model, not a ropeway engineering solver or safety-control system. It omits cable elasticity, wind loading certification, detailed braking and real weather data.
· Credits placeholder: procedural geometry, equations and audio generated for this simulation.