English

A Markov Process Inspired Cellular Automata Model of Road Traffic

Data Analysis, Statistics and Probability 2009-04-23 v2

Abstract

To provide a more accurate description of the driving behaviors in vehicle queues, a namely Markov-Gap cellular automata model is proposed in this paper. It views the variation of the gap between two consequent vehicles as a Markov process whose stationary distribution corresponds to the observed distribution of practical gaps. The multiformity of this Markov process provides the model enough flexibility to describe various driving behaviors. Two examples are given to show how to specialize it for different scenarios: usually mentioned flows on freeways and start-up flows at signalized intersections. The agreement between the empirical observations and the simulation results suggests the soundness of this new approach.

Keywords

Cite

@article{arxiv.0803.2624,
  title  = {A Markov Process Inspired Cellular Automata Model of Road Traffic},
  author = {Fa Wang and Li Li and Jianming Hu and Yan Ji and Danya Yao and Yi Zhang and Xuexiang Jin and Yuelong Su and Zheng Wei},
  journal= {arXiv preprint arXiv:0803.2624},
  year   = {2009}
}

Comments

revised according to the helpful comments from the anonymous reviewers

R2 v1 2026-06-21T10:22:25.914Z