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

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.

8 pages, 3 figures

References in corpus (15)

• Traffic and Related Self-Driven Many-Particle Systems
• Statistical Physics of Vehicular Traffic and Some Related Systems
• Nonequilibrium Statistical Mechanics of the Zero-Range Process and Related Models
• Discrete stochastic models for traffic flow
• Two-lane traffic rules for cellular automata: A systematic approach
• Coherent Moving States in Highway Traffic (Originally: Moving Like a Solid Block)
• A realistic two-lane traffic model for highway traffic
• A stochastic optimal velocity model and its long-lived metastability
• Car-oriented mean-field theory for traffic flow models
• Asymmetric exclusion processes with shuffled dynamics
• Exact solution of the zero-range process: fundamental diagram of the corresponding exclusion process
• Exact solution and asymptotic behaviour of the asymmetric simple exclusion process on a ring
• Achievement of Alternative Configurations of Vehicles on Multiple Lanes
• Ultra-discrete Optimal Velocity Model: a Cellular-Automaton Model for Traffic Flow and Linear Instability of High-Flux Traffic
• Calibration of the Particle Density in Cellular-Automaton Models for Traffic Flow

Cited by in corpus (5)

• Exact solution of a heterogeneous multi-lane asymmetric simple exclusion process
• The global benefit of randomness in individual routing on transportation networks
• Realization of the open-boundary totally asymmetric simple exclusion process on a ring
• Non-local response in a lattice gas under a shear drive
• Phase coexistence phenomena in an extreme case of the misanthrope process with open boundaries