Based on the Nagel-Schreckenberg (NS) model with periodic boundary conditions, weproposed the NSOS model by adding the overtaking strategy (OS). In our model, overtakingvehicles are randomly selected with probability q at each time step, and the successful overtakingis determined by their velocities. We observed that (i) traffic jams still occur in theNSOS model; (ii) OS increases the traffic flow in the regime where the densities exceedthe maximum flow density. We also studied the phase transition (from free flow phase tojammed phase) of the N...
