Vehicular traffic flow at an intersection with the possibility of turning

Abstract

We have developed a Nagel-Schreckenberg cellular automata model for describing of vehicular traffic flow at a single intersection. A set of traffic lights operating in fixed-time scheme controls the traffic flow. Open boundary condition is applied to the streets each of which conduct a unidirectional flow. Streets are single-lane and cars can turn upon reaching to the intersection with prescribed probabilities. Extensive Monte Carlo simulations are carried out to find the model flow characteristics. In particular, we investigate the flows dependence on the signalisation parameters, turning probabilities and input rates. It is shown that for each set of parameters, there exist a plateau region inside which the total outflow from the intersection remains almost constant. We also compute total waiting time of vehicles per cycle behind red lights for various control parameters.

A multi-lane TASEP model for crossing pedestrian traffic flows

“…The TASEP may be used as a building block for traffic flow models in more complicated geometries. There is a rich literature on junctions and bifurcations [11,12,13,14], as well as on intersections [15,16,17,18,19,20] of TASEPs. In those approaches the interaction between the different TASEPs is 'weak' in the sense that they are coupled only on a set of generally well-separated sites.…”

Phase diagram of a non-signalized T-shaped intersection

“…Li et al [28] studied the effect of the priority probability of the through vehicle at the 1 T-shaped intersection in the framework of CA model; Wu et al [29] propose a temporal gap method to examine the phase 2 diagram of non-signalized T-shaped intersection; Li et al [30] investigated the traffic behaviors under two crash avoiding 3 rules by considering three input flows and two left turnings using the CA model. Therefore, Our aim in this paper is to study 4 the traffic behaviors on non-controlled T-shaped intersection system in the framework of CA model under the expended 5 injection rule [36] for two different cases, i.e. with two (resp.…”

“…The results are averaged over 2 50 000 time steps after 20 000 time steps for 100 independent runs. 3 Case 1: Two input lanes 4 We consider α 3 = 0; this means that the system reduces to two input lanes (see Fig. 1(b)).…”

“…Three input lanes 3In this subsection, we study the characteristics of traffic flow at T-shaped intersection with three input lanes (i.e. α 3 ̸ = 0) 4. Firstly, we investigate the effect of the injecting rate α 3 on the traffic flow under both rules, where P TL3 = 0.Fig.…”

Analytical investigation on the minimum traffic delay at a two-phase intersection considering the dynamical evolution process of queues

“…To study traffic flows at the intersections considering the effect of physical queues, many works have been carried out based on simulation frameworks, see e.g., [14][15][16][17][18]. However, analytical investigations of traffic delays are absent.…”