A test track models traffic with the deterministic Nagel-Schreckenberg rule ( )

PHYSICS · Multi-part · Fermi University Physics · Computational Physics · Thermal, Statistical & Complex Systems · Monte Carlo and lattice simulation of physical systems

Many Parts, One Behaviour, Ch Emergence and self-organisation: collective order from local rules

Problem

A test track models traffic with the deterministic Nagel-Schreckenberg rule (ps=0p_{\rm s}=0), vmax⁡=5v_{\max}=5 cells per step, but with shorter cells of 5.0 m5.0\,\mathrm m and a step of 1 s1\,\mathrm s. ((a)) Find ρ∗\rho^*, the density of maximum flow, in cars per cell and in cars per kilometre. ((b)) Find the maximum flow in cars per second, and convert it to vehicles per hour for a single lane.

Browse the problem library