Occurrence of synchronized flow due to overtaking strategy in the Nagel–Schreckenberg model

Abstract

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 versus density diagram are studied. All the results verify that synchronized flow does occur in our model.