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

TL;DR

This paper introduces an overtaking strategy into the Nagel-Schreckenberg traffic model, demonstrating through simulations that synchronized flow states can occur, characterized by specific spatial-temporal patterns and correlations.

Contribution

The study extends the Nagel-Schreckenberg model by incorporating overtaking, providing evidence that synchronized flow can emerge under these conditions.

Findings

Synchronized flow occurs in the NSOS model.

Correlation functions confirm the presence of synchronized flow.

Flow-density diagrams illustrate the flow characteristics.

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