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1.
An improved multiple car-following model is proposed by
considering the arbitrary number of preceding cars, which includes
both the headway and the velocity difference of multiple preceding
cars. The stability condition of the extended model is obtained by
using the linear stability theory. The modified Korteweg--de Vries
equation is derived to describe the traffic behaviour near the
critical point by applying the nonlinear analysis. Traffic flow can
be also divided into three regions: stable, metastable and unstable
regions. Numerical simulation is accordance with the analytical
result for the model. And numerical simulation shows that the
stabilisation of traffic is increasing by considering the
information of more leading cars and there is unavoidable effect on
traffic flow from the multiple leading cars' information. 相似文献
2.
A traffic flow lattice model considering relative current influence and its numerical simulation
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<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
3.
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
4.
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
5.
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
6.
7.
从研究微观个体车辆行为出发,考虑车辆加速过程的不确定性,提出了随机计及相对速度的 交通流跟驰模型(SR-OV模型).对随机相对速度的跟驰模型的动力学方程进行稳定性分析,得 到与Bando跟驰模型不同的稳定性判据,其稳定性优于Bando模型.运用摄动理论分析交通过 程中密度波的变化,结果表明,在发生交通阻塞相变时,交通密度波以mKdV方程描述的扭结 -反扭结波演化.对随机相对速度跟驰模型进行数值模拟和分析,结果发现车流速度的变化小 于Bando模型的速度变化,而且与随机概率有关,当随机考虑相对速度的概率增大时,初始 的小扰动不会放大对车流产生影响,甚至长时间就消失,这与Bando模型完全不同.数值模拟 所得到的相图与解析解相符合,而且交通流稳定区域大于Bando模型.从车间距-速度演化图上 ,随着随机概率的增大,SR-OV模型在初始时存在的滞后现象,随着时间的增长,趋于稳定 状态后,滞后曲线收敛于一小区域,滞后效应被削弱.这完全不同于Bando模型,在Bando模 型中,滞后曲线由一点向外扩散,滞后曲线区域越来越大,车流趋于不稳定状态.
关键词:
交通流
跟驰模型
稳定性判据
相对速度 相似文献
8.
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
9.
In this paper, the optimal velocity model of traffic is extended to take into account the relative velocity. The stability and density waves for traffic flow are investigated analytically with the perturbation method. The stability criterion is derived by the linear stability analysis. It is shown that the triangular shock wave, soliton wave and kink wave appear respectively in our model for density waves in the three regions: stable, metastable and unstable regions. These correspond to the solutions of the Burgers equation, Korteweg-de Vries equation and modified Korteweg-de Vries equation. The analytical results are confirmed to be in good agreement with those of numerical simulation. All the results indicate that the interaction of a car with relative velocity can affect the stability of the traffic flow and raise critical density. 相似文献
10.
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
11.
A new lattice model of traffic flow is presented by taking into account the anticipation of potential lane changing on front site on single lane. The stability condition of the extended model is obtained by using the linear stability theory. The modified KdV equation near the critical point is constructed and solved through nonlinear analysis. And the phase space of traffic flow in the density-sensitivity space could be divided into three regions: stable, metastable and unstable ones, respectively. Numerical simulation also shows that the consideration of lane changing probability in lattice model can stabilize traffic flow, which implies that the new consideration has an important effect on traffic flow in lattice models. 相似文献
12.
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
13.
A viscous continuum traffic flow model with consideration of the coupling effect for two-lane freeways
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In this paper, the viscous continuum traffic flow model for a single
lane is extended to the traffic flow for two-lane freeways. The
proposed model is a higher-order continuum model considering the
coupling and lane changing effects of the vehicles on two adjacent
lanes. It results from integrating the Taylor series expansion of
the viscous continuum traffic flow model proposed by Ge (2006 Physica
A 371 667) into the multi-lane model presented by
Daganzo (1997 Transpn. Res. B 31 83). Our proposed
model may be used to describe non-anisotropic behaviour because of
lane changing in multi-lane traffic. A linear stability analysis
is given and the neutral stability condition is obtained. Also,
issues related to lane changing, shock waves and rarefaction waves,
local clustering and phase transition are investigated through a
simulation experiment. The simulation results show that the proposed
model is capable of explaining some particular traffic phenomena
commonly observable in real world traffic flow. 相似文献
14.
This paper proposes a new traffic model to describe traffic flow
with slope under consideration of the gravity effect. Based on the model,
stability analysis is conducted and a numerical simulation is
performed to explore the characteristics of the traffic flow with
slope. The result shows that the perturbation of the system is
an inherent one, which is induced by the slope. In addition, the
hysteresis loop is represented through plotting the figure of
velocity against headway and highly depends on the slope angle. The
kinematic wave at high density is also obtained through reproducing
the phenomenon of stop-and-go traffic, which is significant to
explore the phase transition of traffic flow and the evolution of
traffic congestion. 相似文献
15.
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
16.
The optimal velocity model of traffic is extended to take
the relative velocity into account. The traffic behavior is investigated
numerically and analytically with this model. It is shown that the car
interaction with the relative velocity can effect the stability of the
traffic flow and raise critical density. The jamming transition between
the freely moving and jamming phases is investigated with the linear
stability analysis and nonlinear perturbation methods. The traffic jam is
described by the kink solution of the modified Korteweg--de Vries equation.
The theoretical result is in good agreement with the simulation. 相似文献
17.
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
18.
The effect of stochastic accelerating and delay probability with the velocity and the gap between vehicles on traffic flow
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This paper proposes a new combined cellular automaton (CA) model
considering the driver behavior of stochastic acceleration and delay
with the velocity of the preceding vehicle and the gap between the
successive vehicles based on the WWH model and the noise-first NaSch
model. It introduces the delay probability varying with the gap,
adds the anticipation headway and increases the acceleration with a
certain probability. Through these simulations, not only can the
metastable state and start--stop wave be obtained but also the synchronized flow
which the wide moving jam results in. Moreover, the
effect of stochastic acceleration and delay on traffic flow is
discussed by analyzing the correlation of traffic data. This indicates
that synchronized flow easily emerges in the critical area between
free flow and synchronized flow when acceleration and delay are
synchronized or their probability is close to 0.5. 相似文献
19.
This paper presents our study of the nonlinear stability of a new anisotropic continuum traffic flow model in which the dimensionless parameter or anisotropic factor controls the non-isotropic character and diffusive influence.In order to establish traffic flow stability criterion or to know the critical parameters that lead,on one hand,to a stable response to perturbations or disturbances or,on the other hand,to an unstable response and therefore to a possible congestion,a nonlinear stability criterion is derived by using a wavefront expansion technique.The stability criterion is illustrated by numerical results using the finite difference method for two different values of anisotropic parameter.It is also been observed that the newly derived stability results are consistent with previously reported results obtained using approximate linearisation methods.Moreover,the stability criterion derived in this paper can provide more refined information from the perspective of the capability to reproduce nonlinear traffic flow behaviors observed in real traffic than previously established methodologies. 相似文献