The effect of traffic light on accident probability in open and periodic boundaries system

• We model the effect of traffic light on accident probability.
• The system studied is in open and periodic boundaries cases.
• The cycle time light plays an important role in road accidents.
• The study is made in parallel dynamics.

In this paper we numerically study the dependence of car accident probability PacPac, per site and per time step   on cycle time TT of traffic light, both in open and periodic boundaries system. In this study one traffic light is placed in the middle of the system. This work is based on Nagel and Schreckenberg (NaSch) model (Nagel and Schreckenberg (1992)) in parallel dynamics. The PacPac dependence on TT and the (αα,ββ) phase diagrams are established. αα and ββ are the injecting and extracting rates of cars in the traffic lane respectively. The increase of the cycle time light TT causes an important decrease of the accident probability PacPac both in the open and periodic cases.