D. Chowdhury et al., Spatio-temporal organization of vehicles in a cellular automata model of traffic with 'slow-to-start' rule, J PHYS A, 32(18), 1999, pp. 3229-3252
The spatio-temporal organizations of vehicular traffic in cellular-automata
models with 'slow-to-start' rules are qualitatively different from those i
n the Nagel-Schreckenberg (NaSch) model of highway traffic. Here we study t
he effects of such a slow-to-start rule, introduced by Benjamin, Johnson an
d Hui (BJH), on the distributions of the distance-headways, time-headways,
jam sizes and sizes of the gaps between successive jams by a combination of
approximate analytical calculations and extensive computer simulations. We
compare these results for the BJH model with the corresponding results for
the NaSch model and interpret the qualitative differences in the nature of
the spatio-temporal organizations of traffic in these two models in terms
of a phase separation of the traffic caused by the slow-to-start rule in th
e BJH model.