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1.
A new lattice hydrodynamic traffic flow model with a consideration of multi-anticipation effect 总被引:1,自引:0,他引:1 下载免费PDF全文
We present a new multi-anticipation lattice hydrodynamic model based on the traffic anticipation effect in the real world.Applying the linear stability theory,we obtain the linear stability condition of the model.Through nonlinear analysis,we derive the modified Korteweg-de Vries equation to describe the propagating behaviour of a traffic density wave near the critical point.The good agreement between the simulation results and the analytical results shows that the stability of traffic flow can be enhanced when the multi-anticipation effect is considered. 相似文献
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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
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A viscous continuum traffic flow model with consideration of the coupling effect for two-lane freeways 下载免费PDF全文
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
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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
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This paper introduces a new two-lane high-order continuum model
by embedding the two delay time scales continuum traffic model presented by
Xue (2003 Phys. Rev. E 68 066123) into the multi-lane model proposed
by Daganzo (1997 Transpn. Res. B 31 83) with the consideration of
the coupling effect between the vehicles of two lanes in
instantaneous traffic situation and lane-change effect. In the novel model,
the coupling effect of two lanes and phenomena of lane change, which were
not discussed in Daganzo's model and Xue's model, are taken into account.
Numerical simulation shows that it is in accordance with real traffic flow.
This obviously indicates that the new phenomenon and behaviour are analogous
results as single lane presented by Xue, and the proposed model is more reasonable on
two lanes. Furthermore, the generation rate between two lanes is also
investigated. The results show that the formation and diffusion of traffic
shock wave can be better simulated on two lanes. 相似文献
8.
Continuum modeling for two-lane traffic flow with consideration of the traffic interruption probability 下载免费PDF全文
Considering the effects that the probability of traffic interruption and the friction between two lanes have on the car-following behaviour,this paper establishes a new two-lane microscopic car-following model.Based on this microscopic model,a new macroscopic model was deduced by the relevance relation of microscopic and macroscopic scale parameters for the two-lane traffic flow.Terms related to lane change are added into the continuity equations and velocity dynamic equations to investigate the lane change rate.Numerical results verify that the proposed model can be efficiently used to reflect the effect of the probability of traffic interruption on the shock,rarefaction wave and lane change behaviour on two-lane freeways.The model has also been applied in reproducing some complex traffic phenomena caused by traffic accident interruption. 相似文献
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By introducing the traffic anticipation effect in the real world into the original lattice hydrodynamic model, we present a new anticipation effect lattice hydrodynamic (AELH) model, and obtain the linear stability condition of the model by applying the linear stability theory. Through nonlinear analysis, we derive the Burgers equation and Korteweg-de Vries (KdV) equation, to describe the propagating behaviour of traffic density waves in the stable and the metastable regions, respectively. The good agreement between simulation results and analytical results shows that the stability of traffic flow can be enhanced when the anticipation effect is considered. 相似文献
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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
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A new two-dimensional lattice hydrodynamic model considering the turning capability of cars is proposed. Based on this model, the stability condition for this new model is obtained by using linear stability analysis. Near the critical point, the modified KdV equation is deduced by using the nonlinear theory. The results of numerical simulation indicate that the critical point a c increases with the increase of the fraction p of northbound cars which continue to move along the positive y direction for c = 0.3, but decreases with the increase of p for c = 0.7. The results also indicate that the cars moving along only one direction (eastbound or northbound) are most stable. 相似文献
12.
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
13.
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
14.
In this paper, a new lattice hydrodynamic model based on
Nagatani's model [Nagatani T 1998 Physica A 261 599] is
presented by introducing the flow difference effect. The stability
condition for the new model is obtained by using the linear
stability theory. The result shows that considering the flow
difference effect leads to stabilization of the system compared
with the original lattice hydrodynamic model. The jamming
transitions among the freely moving phase, the coexisting phase, and
the uniform congested phase are studied by nonlinear analysis.
The modified KdV equation near the critical point is derived to
describe the traffic jam, and kink--antikink soliton solutions
related to the traffic density waves are obtained. The simulation
results are consistent with the theoretical analysis for the new
model. 相似文献
15.
在一维元胞自动机交通流WWH模型和SDNS模型的基础上,建立了考虑驾驶方式改变的元胞自动机模型(Change-CA模型).具体描述为驾驶员可根据交通环境选择不同的驾驶方式在道路上驾车行驶,以各自的演化规则进行状态更新,同时定义了驾驶方式更新原则.通过计算机数值模拟,发现驾驶方式可变时,模型模拟得到的混合交通流流量较大;保守型驾驶方式对交通流变化的影响随改变概率增大而减少.并且在演化过程中,驾驶方式改变频率的变化趋势与改变概率、安全概率密切相关.与NS模型和SDNS模型相比,Change-CA模型减少了车流
关键词:
交通流
元胞自动机
驾驶方式
计算机数值模拟 相似文献
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In the field of traffic flow studies, compulsive lane-changing refers to lane-changing(LC) behaviors due to traffic rules or bad road conditions, while free LC happens when drivers change lanes to drive on a faster or less crowded lane. LC studies based on differential equation models accurately reveal LC influence on traffic environment. This paper presents a second-order partial differential equation(PDE) model that simulates both compulsive LC behavior and free LC behavior,with lane-changing source terms in the continuity equation and a lane-changing viscosity term in the momentum equation.A specific form of this model focusing on a typical compulsive LC behavior, the ‘off-ramp problem', is derived. Numerical simulations are given in several cases, which are consistent with real traffic phenomenon. 相似文献
18.
In this paper, we present a new car-following model by taking into
account the effects of the traffic interruption probability on the
car-following behaviour of the following vehicle. The stability
condition of the model is obtained by using the linear stability
theory. The modified Korteweg--de Vries (KdV) equation is constructed
and solved, and three types of traffic flows in the
headway sensitivity space---stable, metastable, and unstable---are
classified. Both the analytical and simulation results show that the
traffic interruption probability indeed has an influence on driving
behaviour, and the consideration of traffic interruption probability
in the car-following model could stabilize traffic flow. 相似文献
19.
General solution of the modified Korteweg-de-Vries equation in the lattice hydrodynamic model 下载免费PDF全文
Traffic congestion is related to various density waves, which might be described by the nonlinear wave equations, such as the Burgers, Korteweg-de-Vries (KdV) and modified Korteweg-de-Vries (mKdV) equations. In this paper, the mKdV equations of four different versions of lattice hydrodynamic models, which describe the kink--antikink soliton waves are derived by nonlinear analysis. Furthermore, the general solution is given, which is applied to solving a new model --- the lattice hydrodynamic model with bidirectional pedestrian flow. The result shows that this general solution is consistent with that given by previous work. 相似文献
20.
A novel lattice model integrating the cooperative deviation of density and optimal flux under V2X environment 下载免费PDF全文
Guang-Han Peng 《中国物理 B》2023,32(1):18902-018902
A novel lattice hydrodynamic model is proposed by integrating the cooperative deviation of density and optimal flux under vehicle to X (V2X) environment. According to the theoretical analysis, the stability conditions and the mKdV equations affected by the cooperative deviation of traffic information are explored. And the density wave, hysteresis loop and energy consumption of the traffic flow have been investigated via numerical simulation. The results indicate that the cooperative deviation of density and optimal flux can effectively alleviate the traffic congestion. More importantly, our new consideration can reduce fuel consumption and exhaust emission under the V2X environment. 相似文献