Two-lane traffic-flow model with an exact steady-state solution

摘要

We propose a stochastic cellular-automaton model for two-lane traffic flowbased on the misanthrope process in one dimension. The misanthrope process is astochastic process allowing for an exact steady-state solution; hence we havean exact flow-density diagram for two lane traffic. In addition, we introducetwo parameters that indicate respectively driver's driving-lane preference andpassing-lane priority. Due to the additional parameters, the model shows adeviation of the density ratio for driving-lane use and a biasedlane-efficiency in flow. Then, a mean-field approach explicitly describes theasymmetric flow by the hop rates, the driving-lane preference, and thepassing-lane priority. Meanwhile, the simulation results are in good agreementwith an observational data, and we thus estimate these parameters. We concludethat the proposed model successfully produces two-lane traffic flowparticularly with the driving-lane preference and the passing-lane priority.