@article{ref1,
title="Two-lane traffic-flow model with an exact steady-state solution",
journal="Physical review E: Statistical, nonlinear, and soft matter physics",
year="2010",
author="Kanai, Masahiro",
volume="82",
number="6 Pt 2",
pages="066107-066107",
abstract="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.<p /> <p>Language: en</p>",
language="en",
issn="1539-3755",
doi="",
url="http://dx.doi.org/"
}