  The Nagel-Schreckenberg model with overtaking strategy (NSOS) is proposed,
and numerical simulations are performed for both closed and open boundary
conditions. The fundamental diagram, space-time diagram, and spatial-temporal
distribution of speed are investigated. In order to identify the synchronized
flow state, both the correlation functions (autocorrelation and
cross-correlation) and the one-minute average flow rate vs. density diagram are
studied. All the results verify that synchronized flow does occur in our model.
