Eur. Phys. J. B (2017) 90: 240
https://doi.org/10.1140/epjb/e2017-70695-5

Regular Article

Car accidents induced by a bottleneck

Laboratory of Condensed Matter and Interdisciplinary Sciences. Faculty of Sciences in Rabat - Morocco (B.P. 1014), Rabat, Morocco

^a e-mail: rachid.marzoug@gmail.com

Received: 21 November 2016
Received in final form: 23 May 2017
Published online: 11 December 2017

Abstract

Based on the Nagel-Schreckenberg model (NS) we study the probability of car accidents to occur (P_ac) at the entrance of the merging part of two roads (i.e. junction). The simulation results show that the existence of non-cooperative drivers plays a chief role, where it increases the risk of collisions in the intermediate and high densities. Moreover, the impact of speed limit in the bottleneck (V_b) on the probability P_ac is also studied. This impact depends strongly on the density, where, the increasing of V_b enhances P_ac in the low densities. Meanwhile, it increases the road safety in the high densities. The phase diagram of the system is also constructed.