Discrete Models of Traffic Flow (4-5)

Standard Model of Nagel and Schreckenberg 5

We look at the flow diagram for R <> 0 case. This is an example of R = 0.4. The speed limit is set to U = 4.

	\rho=0.15	\rho=0.25
	\rho=0.50	\rho=0.75

The characteristic feature in these diagrams, in comparison to R = 0 case, are

1 : Even in low density free traffic flow, local jams are formed and disappear.
2 : At larger density, the frequency of the appearence of local jams increases, and so as their duration.
3 : Above the critical density, the persistence of jamming blocks is observed.
4 : At still higher density, the ratio of cells occupied by jamming blocks increases further.

Unlike the case of R = 0, the flow pattern of Nagel-Scheckenber model with non-zero deceleration probability show the stochastic characteristics with the appearence and disappearence of jamming blocks . This is of course a direct consequence of the randomness in the evolution rule itself.