Modelling the variation and uncertainty problem of right-turn-on-red queue in a variety of conflicting environments

Yang, Qiaoli

doi:10.1016/j.apm.2022.11.029

Cited by 11 publications

(2 citation statements)

References 20 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…From the Hartman-Gorban linearization theorem, the nonlinear system (29) and the linear system (39) have the same equilibrium point. For the equilibrium point that is not the center, the stability at the equilibrium point is the same for the nonlinear system (29) and the linear system (39). Given any set of traveling wave velocity c and traveling wave parameter q * , the equilibrium points ρ 1 , ρ 2 , ρ 3 of the linear system (29) can be solved.…”

Section: Nonlinear Analysismentioning

confidence: 99%

Bifurcation analysis and control study of improved full-speed differential model in connected vehicle environment

Ai 艾,

Lei 雷,

Li 李

et al. 2024

Chinese Phys. B

View full text Add to dashboard Cite

In recent years, the traffic congestion problem has become more and more serious, and the study of traffic system control has become a new hot spot. Studying the bifurcation characteristics of traffic flow systems and designing control schemes for unstable pivots can alleviate the traffic congestion problem from a new perspective. In this paper, the full-speed differential model considering the vehicle network environment is improved to adjust the traffic flow from the perspective of bifurcation control. This paper theoretically proves the existence conditions of Hopf bifurcation and saddle-node bifurcation in the model, and finds the stability mutation point for the stability of the transportation system. For the unstable bifurcation point, a nonlinear system feedback controller is designed using Chebyshev polynomial approximation and stochastic feedback control method. The advancement, postponement, and elimination of Hopf bifurcation are achieved without changing the system equilibrium point, and the mutation behavior of the transportation system is controlled so as to alleviate the traffic congestion. In this paper, the changes in the stability of complex traffic systems are explained from the perspective of bifurcation analysis, which can better capture the characteristics of the traffic flow. By adjusting the control parameters in the feedback controllers, the influence of the boundary conditions on the stability of the traffic system is adequately described, and the effects of the unstable focuses and saddle points on the system are suppressed to slow down the traffic flow. In addition, the unstable bifurcation points can be eliminated and the Hopf bifurcation can be controlled to advance, delay, and disappear, so as to realize the control of the stability behavior of the traffic system, which can help to alleviate the traffic congestion as well as describe the actual traffic phenomena.

show abstract

Section: Nonlinear Analysismentioning

confidence: 99%

Bifurcation analysis and control study of improved full-speed differential model in connected vehicle environment

Ai 艾,

Lei 雷,

Li 李

et al. 2024

Chinese Phys. B

View full text Add to dashboard Cite

show abstract

“…When a CAV obtains the right of way at the conflicting zone, the service time of each CAV is T seconds, that is, the average duration time for a CAV to pass through the conflict zone is T seconds. Under this assumption, the time axis may be divided into a series of time intervals all of length T, which has been widely used in traffic queueing models [29,30]. In the discrete-time framework, we assume that the CAV joins the queue only at the beginning of the next time interval after its arrival.…”

Section: Basic Concepts and Assumptionsmentioning

confidence: 99%

Modelling and numerical simulation of sequencing strategies for connected and autonomous vehicles at signal-free intersections

Zhang,

Yang

2024

Phys. Scr.

View full text Add to dashboard Cite

The signal-free intersections employ connected and automated vehicle technology to manage vehicles passing through the intersection. Due to conflicting traffic flows in opposition directions, a proper sequencing of Connected and Autonomous Vehicles (CAVs) at signal-free intersections becomes critical to impacting intersection traffic performance. Based on an examination of CAV queueing rules under the most common sequencing strategies of First-Come-First-Serve (FCFS) and Longest-Queue-First (LQF), commonly employed as benchmarks for evaluating diverse innovative approaches to signal-free intersections, we propose a Dynamic-Queue-Service (DQS) strategy that is tailored to accommodate high traffic demand. To explicitly elucidate the impact of diverse traffic demand in conflicting directions on the queue uncertainty and stochasticity of CAVs, as well as to investigate how various sequencing strategies influence the equity of CAV traffic at signal-free intersections with regard to CAV queueing dynamics under different strategies, we have developed a double-input traffic queueing model and derived a range of metrics, including the queue length, delay, conditional queue length, and variance of queue length. In addition, for the three strategies, we performed a series of numerical simulations to investigate the queueing process of CAVs at signal-free intersections. Numerical results show that under different levels of traffic demand in the conflicting directions, the FCFS, LQF, and DQS strategies output diverse traffic queueing performances, and the DQS strategy is confirmed to be well-suited for the situation of high traffic demand in both conflicting directions.

show abstract

Analysis and control of saddle-node bifurcation based on continuum model with headway fluctuation

Ai,

Zhang,

Zhu

et al. 2024

Chinese Journal of Physics

View full text Add to dashboard Cite

Modelling the variation and uncertainty problem of right-turn-on-red queue in a variety of conflicting environments

Cited by 11 publications

References 20 publications

Bifurcation analysis and control study of improved full-speed differential model in connected vehicle environment

Bifurcation analysis and control study of improved full-speed differential model in connected vehicle environment

Modelling and numerical simulation of sequencing strategies for connected and autonomous vehicles at signal-free intersections

Analysis and control of saddle-node bifurcation based on continuum model with headway fluctuation

Contact Info

Product

Resources

About