The Effect of On- and Off-Ramps Positions on The Traffic Flow Behaviour

The effect of the position of on-ramp and off-ramp i1 and i2, respectively, on the one dimensional-cellular automaton traffic flow behaviour, is investigated numerically. The injection rates at i1 and i2 are α0 and β0, respectively. However, in the open boundary conditions, with injecting and extracting rates α and β and using parallel dynamics, several phases occur; namely, low density phase (LDP), intermediate density phase (IDP), plateau current phase (PCP) and high density phase (HDP). It is found that phase diagrams exhibit different kind of topologies. For intermediate value of extracting rates β0 and β and low value of α, (i1, α0) phase diagram provides LDP-IDP, LDP-PCP, IDP-PCP, and PCP-HDP transitions, and critical end points. The off-ramp position is located to the middle of the road. By increasing β0 and β, the IDP desappears. For high value of β, only LDP-HDP persists. Pacs number : 05.40.-a, 05.50. +q, 64.60.Cn, 82.20.wt