A stochastic optimal velocity model and its long-lived metastability

Abstract

In this paper, we propose a stochastic cellular automaton model of traffic flow extending two exactly solvable stochastic models, i.e., the asymmetric simple exclusion process and the zero range process. Moreover it is regarded as a stochastic extension of the optimal velocity model. In the fundamental diagram (flux-density diagram), our model exhibits several regions of density where more than one stable state coexists at the same density in spite of the stochastic nature of its dynamical rule. Moreover, we observe that two long-lived metastable states appear for a transitional period, and that the dynamical phase transition from a metastable state to another metastable/stable state occurs sharply and spontaneously.

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Cited by in corpus (12)

• Implicit Methods for Equation-Free Analysis: Convergence Results and Analysis of Emergent Waves in Microscopic Traffic Models
• Exact solution and asymptotic behaviour of the asymmetric simple exclusion process on a ring
• Exact solution of the zero-range process: fundamental diagram of the corresponding exclusion process
• 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
• Two-lane traffic-flow model with an exact steady-state solution
• Analytical study on the criticality of the Stochastic Optimal Velocity model
• Totally asymmetric simple exclusion process with a time-dependent boundary: interaction between vehicles and pedestrians at intersections
• Calibration of the Particle Density in Cellular-Automaton Models for Traffic Flow
• Comparison of gap-based and flow-based control strategies using a new controlled stochastic cellular automaton model for traffic flow
• Realization of the open-boundary totally asymmetric simple exclusion process on a ring
• Stochastic and Coarse-Grained Two-Dimensional Modeling of Directional Particle Movement