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

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

1997-09-11

arxiv.org/abs/cond-mat/9709131v1

Ann. Physik 6, 541 (1997)

Physics

Condensed Matter

Statistical Mechanics

Latex, 15 pages, 6 ps-figures

Scientific paper

10.1002/andp.19975090703

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.

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