共查询到20条相似文献,搜索用时 15 毫秒
1.
Effect of looking backward on traffic flow in an extended multiple car-following model 总被引:1,自引:0,他引:1
In this paper, a new car-following model is proposed by incorporating the backward looking effect under certain conditions and multiple information of preceding cars in traffic flow. And the neutral stability condition of this model can be obtained by using the linear stability theory. Numerical simulation shows that the proposed model is theoretically an improvement over previous ones. 相似文献
2.
In this paper,the lattice model is presented,incorporating not only site information about preceding cars but also relative currents in front.We derive the stability condition of the extended model by considering a small perturbation around the homogeneous flow solution and find that the improvement in the stability of traffic flow is obtained by taking into account preceding mixture traffic information.Direct simulations also confirm that the traffic jam can be suppressed efficiently by considering the relative currents ahead,just like incorporating site information in front.Moreover,from the nonlinear analysis of the extended models,the preceding mixture traffic information dependence of the propagating kink solutions for traffic jams is obtained by deriving the modified KdV equation near the critical point using the reductive perturbation method. 相似文献
3.
4.
在一维交通流格子模型的基础上,分别提出考虑最近邻车和次近邻车以及考虑前、后近邻车相互作用进行车流优化的一维交通流格子模型.应用线性稳定性理论和非线性理论进行分析,得出车流的稳定性条件,并导出了描述交通阻塞相变的mKdV方程.用数值模拟验证了mKdV方程的解,数值模拟结果表明考虑最近邻车和次近邻车的优化车流能够增强车流稳定性,而考虑前、后近邻车的优化车流将使稳定性减小.
关键词:
交通流
交通相变
稳定判据
mKdV方程 相似文献
5.
On the basis of the full velocity difference (FVD) model,
an improved multiple car-following (MCF) model is proposed by taking
into account multiple information inputs from preceding vehicles.
The linear stability condition of the model is obtained by using the
linear stability theory. Through nonlinear analysis, a modified
Korteweg-de Vries equation is constructed and solved. The traffic
jam can thus be described by the kink--antikink soliton solution for
the mKdV equation. The improvement of this new model over the
previous ones lies in the fact that it not only theoretically retains many
strong points of the previous ones, but also performs more
realistically than others in the dynamical evolution of congestion.
Furthermore, numerical simulation of traffic dynamics shows that the
proposed model can avoid the disadvantage of negative velocity that
occurs at small sensitivity coefficients λ in the FVD model by
adjusting the information on the multiple leading vehicles. No
collision occurs and no unrealistic deceleration appears in the
improved model. 相似文献
6.
G.H. Peng 《Physica A》2012
In this paper, a new lattice model of traffic flow is proposed to investigate wide moving jams in traffic flow with the consideration of the driver anticipation information about two preceding sites. The linear stability condition is obtained by using linear stability analysis. The mKdV equation is derived through nonlinear analysis, which can be conceivably taken as an approximation to a wide moving jam. Numerical simulation also confirms that the congested traffic patterns about wide moving jam propagation in accordance with empirical results can be suppressed efficiently by taking the driver anticipation effect of two preceding sites into account in a new lattice model. 相似文献
7.
H. X. Ge H. B. Zhu S. Q. Dai 《The European Physical Journal B - Condensed Matter and Complex Systems》2006,53(4):503-507
An extended car following model is
proposed by incorporating intelligent transportation system and
the backward looking effect under certain condition in traffic
flow. The neutral stability condition of this model is obtained by
using the linear stability theory. The results show that
anticipating the behavior of vehicles
preceding and following one vehicle could lead to appreciable stabilization of traffic system.
From the simulation of space-time evolution
of the vehicle headways, it is shown that the traffic jam could be
suppressed efficiently via taking into account the
information about the motion of two preceding vehicles and one following vehicle,
and the analytical result is
consistent with the simulation one. 相似文献
8.
9.
To further investigate car-following behaviors in the cooperative adaptive cruise control(CACC) strategy,a comprehensive control system which can handle three traffic conditions to guarantee driving efficiency and safety is designed by using three CACC models.In this control system,some vital comprehensive information,such as multiple preceding cars' speed differences and headway,variable safety distance(VSD) and time-delay effect on the traffic current and the jamming transition have been investigated via analytical or numerical methods.Local and string stability criterion for the velocity control(VC) model and gap control(GC) model are derived via linear stability theory.Numerical simulations are conducted to study the performance of the simulated traffic flow.The simulation results show that the VC model and GC model can improve driving efficiency and suppress traffic congestion. 相似文献
10.
Considering the effect of multiple flux difference, an extended lattice model is proposed to improve the stability of traffic flow. The stability condition of the new model is obtained by using linear stability theory. The theoretical analysis result shows that considering the flux difference effect ahead can stabilize traffic flow. The nonlinear analysis is also conducted by using a reductive perturbation method. The modified KdV (mKdV) equation near the critical point is derived and the kink-antikink solution is obtained from the mKdV equation. Numerical simulation results show that the multiple flux difference effect can suppress the traffic jam considerably, which is in line with the analytical result. 相似文献
11.
A modified lattice hydrodynamic model of traffic flow is proposed by introducing the density difference between the leading and the following lattice. The stability condition of the modified model is obtained through the linear stability analysis. The results show that considering the density difference leads to the stabilization of the system. The Burgers equation and mKdV equation are derived to describe the density waves in the stable and unstable regions respectively. Numerical simulations show that considering the density difference not only could stabilize traffic flow but also makes the lattice hydrodynamic model more realistic. 相似文献
12.
The car-following behavior can be influenced by its driver’s backward-looking effect.Especially in traffic congestion,if vehicles adjust the headway by considering backward-looking effect,the stability of traffic flow can be enhanced.A model of car-following behavior considering backward-looking effect was built using visual information as a stimulus.The critical stability conditions were derived by linear and nonlinear stability analyses.The results of parameter sensitivity analysis indicate that the stability of traffic flow was enhanced by considering the backward-looking effect.The spatiotemporal evolution of traffic flow of different truck ratios and varying degrees of backward-looking effect was determined by numerical simulation.This study lays a foundation for exploring the complex feature of car-following behavior and making the intelligent network vehicles control rules more consistent with human driver habits. 相似文献
13.
考虑两车道耦合效应的影响和换道效应,提出了改进的两车道交通流耦合格子模型.同时,改进了换道时的流量转移率,这样更符合实际交通情况.通过线性稳定性分析,得到了改进模型的稳定性条件.数值模拟结果也表明,模型通过考虑耦合作用信息,更好地再现了换道情况,同时也表明两车道间的耦合效应对两车道交通流存在不可忽视的影响. 相似文献
14.
In this paper, a new lattice hydrodynamic traffic flow model is proposed by considering the driver’s anticipation effect in sensing relative flux (DAESRF) for two-lane system. The effect of anticipation parameter on the stability of traffic flow is examined through linear stability analysis and shown that the anticipation term can significantly enlarge the stability region on the phase diagram. To describe the phase transition of traffic flow, mKdV equation near the critical point is derived through nonlinear analysis. The theoretical findings have been verified using numerical simulation which confirms that traffic jam can be suppressed efficiently by considering the anticipation effect in the new lattice model for two-lane traffic. 相似文献
15.
A traffic flow lattice model considering relative current influence and its numerical simulation 下载免费PDF全文
<正>Based on Xue's lattice model,an extended lattice model is proposed by considering the relative current information about next-nearest-neighbour sites ahead.The linear stability condition of the presented model is obtained by employing the linear stability theory.The density wave is investigated analytically with the perturbation method.The results show that the occurrence of traffic jamming transitions can be described by the kink-antikink solution of the modified Korteweg-de Vries(mKdV) equation.The simulation results are in good agreement with the analytical results,showing that the stability of traffic flow can be enhanced when the relative current of next-nearest-neighbour sites ahead is considered. 相似文献
16.
Basic lattice model is extended to study the heterogeneous traffic by considering the optimal current difference effect on a unidirectional single lane highway. Heterogeneous traffic consisting of low- and high-sensitivity vehicles is modeled and their impact on stability of mixed traffic flow has been examined through linear stability analysis. The stability of flow is investigated in five distinct regions of the neutral stability diagram corresponding to the amount of higher sensitivity vehicles present on road. In order to investigate the propagating behavior of density waves non linear analysis is performed and near the critical point, the kink antikink soliton is obtained by driving mKdV equation. The effect of fraction parameter corresponding to high sensitivity vehicles is investigated and the results indicates that the stability rise up due to the fraction parameter. The theoretical findings are verified via direct numerical simulation. 相似文献
17.
A new lattice model of traffic flow with the consideration of the driver?s forecast effects 总被引:2,自引:0,他引:2
In this Letter, a new lattice model is presented with the consideration of the driver?s forecast effects (DFE). The linear stability condition of the extended model is obtained by using the linear stability theory. The analytical results show that the new model can improve the stability of traffic flow by considering DFE. The modified KdV equation near the critical point is derived to describe the traffic jam by nonlinear analysis. Numerical simulation also shows that the new model can improve the stability of traffic flow by adjusting the driver?s forecast intensity parameter, which is consistent with the theoretical analysis. 相似文献
18.
In this paper we propose an enhanced continuum model for traffic flow considering the effect of driver characteristics and traffic jerk. Based on the linear stability condition, the sufficient conditions of model stability is given. In the nonlinear stability analysis, we derive the KdV–Burger equation to describe the propagation characteristics of traffic density waves near the neutral stability curve. The simulation example verified that the driver characteristics and traffic jerk have a significant impact on the stability of the traffic flow and emissions. 相似文献
19.
L. Yu Z.-K. Shi 《The European Physical Journal B - Condensed Matter and Complex Systems》2007,57(1):115-120
The car-following model of traffic flow is extended to
take into account the relative velocity. The stability condition
of this model is obtained by using linear stability theory. It is
shown that the stability of uniform traffic flow is improved by
considering the relative velocity. From nonlinear analysis, it is
shown that three different density waves, that is, the triangular
shock wave, soliton wave and kink-antikink wave, appear in the
stable, metastable and unstable regions of traffic flow
respectively. The three different density waves are described by
the nonlinear wave equations: the Burgers equation, Korteweg-de
Vries (KdV) equation and modified Korteweg-de Vries (mKdV)
equation, respectively. 相似文献
20.
In this paper, we present a new lattice model which involves the effects of traffic interruption probability to describe the traffic flow on single lane freeways. The stability condition of the new model is obtained by the linear stability analysis and the modified Korteweg-de Vries (KdV) equation is derived through nonlinear analysis. Thus, the space will be divided into three regions: stable, metastable and unstable. The simulation results also show that the traffic interruption probability could stabilize traffic flow. 相似文献