It is essential to fully understand master the traffic characteristics of the self-stabilizing control effect and roadcharacteristics to ensure the regular operation of transportation. Traffic flow on curved roads and...It is essential to fully understand master the traffic characteristics of the self-stabilizing control effect and roadcharacteristics to ensure the regular operation of transportation. Traffic flow on curved roads and slopes is irregularand more complicated than that on the straight road. However, most of the research only considers the effect ofself-stabilizing in the straight road. This study attempts to bridge this deficiency from the following three aspects.First, we review the potential influencing factors of traffic flow stability, which are related to the vehicle’s steadyvelocity, history velocity, and the turn radius of the road and the slope of the road. Based on the above review,an extended continuum model accounting for the self-stabilizing effect on a curved road with slope is proposed.Second, the linear stability criterion of the new model is derived by applying linear stability theory, and the neutralstability curve is obtained in detail. The modified KdV equation describing the evolution characteristics of trafficcongestion is derived by using the nonlinear analysis method. Upon the theoretical analysis, the third aspectfocuses on simulating the self-stabilizing effect under different slopes and radius, which demonstrates that theself-stabilizing effect is conducive to reducing congestion of the curved road with slope.展开更多
Traffic flow model is improved by introducing variable brake distances with varying slopes.Stability of the traffic flow on a gradient is analyzed and the neutral stability condition is obtained.The KdV(Korteweg-de Vr...Traffic flow model is improved by introducing variable brake distances with varying slopes.Stability of the traffic flow on a gradient is analyzed and the neutral stability condition is obtained.The KdV(Korteweg-de Vries)equation is derived the use of nonlinear analysis and soliton solution is obtained in the meta-stable region.Solitary density waves are reproduced in the numerical simulations.It is found that as uniform headway is less than the safety distance solitary wave exhibits upward form,otherwise it exhibits downward form.In general the numerical results are in good agreement with the analytical results.展开更多
基金supported by the Natural Science Foundation of Zhejiang Province,China(Grant No.LY19A010002).
文摘It is essential to fully understand master the traffic characteristics of the self-stabilizing control effect and roadcharacteristics to ensure the regular operation of transportation. Traffic flow on curved roads and slopes is irregularand more complicated than that on the straight road. However, most of the research only considers the effect ofself-stabilizing in the straight road. This study attempts to bridge this deficiency from the following three aspects.First, we review the potential influencing factors of traffic flow stability, which are related to the vehicle’s steadyvelocity, history velocity, and the turn radius of the road and the slope of the road. Based on the above review,an extended continuum model accounting for the self-stabilizing effect on a curved road with slope is proposed.Second, the linear stability criterion of the new model is derived by applying linear stability theory, and the neutralstability curve is obtained in detail. The modified KdV equation describing the evolution characteristics of trafficcongestion is derived by using the nonlinear analysis method. Upon the theoretical analysis, the third aspectfocuses on simulating the self-stabilizing effect under different slopes and radius, which demonstrates that theself-stabilizing effect is conducive to reducing congestion of the curved road with slope.
基金Supported by the National Natural Science Foundation of China under Grant No. 61174175Postdoctoral Science Foundation of China under Grant No. 20100481265+1 种基金Special Foundation for Postdoctoral Innovation Program of Shandong Province under Grant No. 201102025the Scientific Project of Jinan City under Grant No. 201118006
文摘Traffic flow model is improved by introducing variable brake distances with varying slopes.Stability of the traffic flow on a gradient is analyzed and the neutral stability condition is obtained.The KdV(Korteweg-de Vries)equation is derived the use of nonlinear analysis and soliton solution is obtained in the meta-stable region.Solitary density waves are reproduced in the numerical simulations.It is found that as uniform headway is less than the safety distance solitary wave exhibits upward form,otherwise it exhibits downward form.In general the numerical results are in good agreement with the analytical results.
