Nonlinear Sciences – Cellular Automata and Lattice Gases
Scientific paper
2010-09-07
Phys. Rev. E 82, 066107 (2010)
Nonlinear Sciences
Cellular Automata and Lattice Gases
8 pages, 3 figures
Scientific paper
10.1103/PhysRevE.82.066107
We propose a stochastic cellular-automaton model for two-lane traffic flow based on the misanthrope process in one dimension. The misanthrope process is a stochastic process allowing for an exact steady-state solution; hence we have an exact flow-density diagram for two lane traffic. In addition, we introduce two parameters that indicate respectively driver's driving-lane preference and passing-lane priority. Due to the additional parameters, the model shows a deviation of the density ratio for driving-lane use and a biased lane-efficiency in flow. Then, a mean-field approach explicitly describes the asymmetric flow by the hop rates, the driving-lane preference, and the passing-lane priority. Meanwhile, the simulation results are in good agreement with an observational data, and we thus estimate these parameters. We conclude that the proposed model successfully produces two-lane traffic flow particularly with the driving-lane preference and the passing-lane priority.
Kanai Masahiro
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