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Comparison between the optimal velocity model and the Nagel-Schreckenberg model. (Chinese. English summary) Zbl 1224.90028

Summary: The similarities as well as the differences of the optimal velocity model (OV model) and the Nagel-Schreckenberg model (NS model) are compared by both analytical and numerical approaches. By analyzing the rules of both models, we prove that the NS model is a discrete form model of the OV model. By numerical simulations, the OV model with different parameters and the stochastic NS model are compared from two aspects, namely the fundamental diagram and their dynamics under open boundary conditions. The results show that these two models have very similar behaviors. However, they are different in essence, and each model has its own advantages, which makes it useful. This study provides a basis for the application and improvement of traffic flow models.

MSC:

90B20 Traffic problems in operations research
37B15 Dynamical aspects of cellular automata
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