2,503
Views
11
CrossRef citations to date
0
Altmetric
ARTICLES

Platoon forming algorithms for intelligent street intersections

ORCID Icon & ORCID Icon
Pages 278-307 | Received 30 Dec 2018, Accepted 17 Oct 2019, Published online: 26 Nov 2019

Figures & data

Figure 1. A schematic representation of the model discussed in this paper. The platoon forming algorithms in this paper determine how the platoons are constructed. In the next step, a speed profiling algorithm determines how each individual vehicle approaches the intersection. Figure (a,b) corresponds, respectively, to the situation in (c) at times t = 4 and t = 8 seconds.

Figure 1. A schematic representation of the model discussed in this paper. The platoon forming algorithms in this paper determine how the platoons are constructed. In the next step, a speed profiling algorithm determines how each individual vehicle approaches the intersection. Figure (a,b) corresponds, respectively, to the situation in (c) at times t = 4 and t = 8 seconds.

Figure 2. Algorithm 4 (solid lines) and Algorithm 5 (dashed lines) for several vehicles with t (s) on the horizontal axis and |x(t)| (m) on the vertical axis for several vehicles.

Figure 2. Algorithm 4 (solid lines) and Algorithm 5 (dashed lines) for several vehicles with t (s) on the horizontal axis and |x(t)| (m) on the vertical axis for several vehicles.

Figure 3. Three sample trajectories with one full stop. The optimal trajectory is plotted in solid black. The dashed green trajectory has a smaller value of tfull compared to the optimal trajectory, whereas the dotted red trajectory has a smaller value of v0.

Figure 3. Three sample trajectories with one full stop. The optimal trajectory is plotted in solid black. The dashed green trajectory has a smaller value of tfull compared to the optimal trajectory, whereas the dotted red trajectory has a smaller value of v0.

Figure 4. Visualization of the link between the traffic model with PFAs and polling models. The black line represents a self-driving vehicle, and the red dashed line represents the corresponding ‘vehicle’ in the vertical queueing model.

Figure 4. Visualization of the link between the traffic model with PFAs and polling models. The black line represents a self-driving vehicle, and the red dashed line represents the corresponding ‘vehicle’ in the vertical queueing model.

Figure 5. Mean delay experienced by an arbitrary car for the symmetric case (top) and asymmetric case (bottom). The solid and dashed lines represent simulation results and the dotted lines approximations.

Figure 5. Mean delay experienced by an arbitrary car for the symmetric case (top) and asymmetric case (bottom). The solid and dashed lines represent simulation results and the dotted lines approximations.

Figure 6. Fairness experienced by an arbitrary car for the symmetric case (top) and asymmetric case (bottom).

Figure 6. Fairness experienced by an arbitrary car for the symmetric case (top) and asymmetric case (bottom).

Figure 7. Mean delay for an arbitrary car for traditional traffic lights (represented by SUMO) and the exhaustive PFA for the symmetric example (top) and the asymmetric case (bottom).

Figure 7. Mean delay for an arbitrary car for traditional traffic lights (represented by SUMO) and the exhaustive PFA for the symmetric example (top) and the asymmetric case (bottom).