Traffic flow models with 'slow-to-start' rules

Abstract

We investigate two models for traffic flow with modified acceleration ('slow-to-start') rules. Even in the simplest case $v_{max}=1$ these rules break the 'particle-hole` symmetry of the model. We determine the fundamental diagram (flow-density relationship) using the so-called car-oriented mean-field approach (COMF) which yields the exact solution of the basic model with $v_{max}=1$. Here we find that this is no longer true for the models with modified acceleration rules, but the results are still in good agreement with simulations. We also compare the effects of the two different slow-to-start rules and discuss their relevance for real traffic. In addition, in one of these models we find a new phase transition to a completely jammed state.

Latex, 15 pages, 6 ps-figures

References in corpus (2)

• Experiences with a simplified microsimulation for the Dallas/Fort Worth area
• Using microsimulation feedback for trip adaptation for realistic traffic in Dallas

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• Spontaneous Jamming in One-Dimensional Systems
• Analytical study on the criticality of the Stochastic Optimal Velocity model
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• Spatio-temporal organization of vehicles in a cellular automata model of traffic with 'slow-to-start' rule
• Metastable States in CA models for Traffic Flow
• Modelling traffic flow fluctuations
• Analytical approaches to CA for traffic flow: Approximations and exact solutions
• Cellular automata approach to synchronized traffic flow modelling