STOCHASTICITY DRIVEN NEWELL CAR FOLLOWING MODEL
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摘要
Two-phase traffic flow models usually presume that there is a unique relationship between the flow rate and traffic density under the steady state condition,in which,traffic flow is classified into the free flow phase and congested flow phase.Phase transition involved is the transition from free flow to jams.Based on a long-term empirical data analysis,Kerner introduced the Three-Phase Theory(KTPT),which classifies the congested traffic into the synchronized flow and the wide moving jams.Phase transitions involved are the transition from free flow to synchronized flow and from synchronized flow to wide moving jams,which are essentially different from Two-phase theory.In order to reproduce synchronized traffic flow,a variety of complex models has been proposed,in which cellular automaton models predominate.Recently,Jiang et al.(2014,2015) carried out a car following experiment on a 3.2-km-long open road section,in which a platoon of 25 passenger cars has been studied.The leading vehicle was asked to move with the constant speed.The formation and development of traffic oscillations have been observed.The results showed that the standard deviations of speed increase in a concave or linear way along the 25-car-platoon.For the latter case,due to the physical limits of speeds,unconditional concavity,i.e.,a decreasing increment of the amplitude from car to car is expected for sufficiently large platoons.Later,the concave growth pattern of oscillations is also verified by the empirical NGSIM data(Tian,et al.,2016).Moreover,Jiang et al.(2014,2015) have shown that(i) the simulation results of the Two-phase models,such as GMs,Gipps' Model,OVM,FVDM and IDM,run against this finding since the standard deviation initially increases in a convex way in the unstable density range;(ii) by removing the fundamental diagram in two-phase models and allowing the traffic state to span a two-dimensional region in velocity-spacing plane,the growth pattern of disturbances has changed and becomes qualitatively in accordance with the observations.Inspired by above observations,we wonder that whether there is the simple car following model that can successfully generate the synchronized traffic flow and predict the concave growth of traffic oscillations.Since up to now models that can reproduce the synchronized traffic flow have described more aspects of driving behavior,which have been criticized and suspected due to their complexity and rich parameters.In light of these reasons,the simple car following model is necessary with the capability of simulating the synchronized traffic flow and the concave growth of traffic oscillations,which not only helps to understand the mechanism of synchronized traffic flow but also the concave growth pattern of traffic oscillations.To this end,this paper put forward such a simple model based on the stable Newell car following model in which only driving stochasticity is taken into account.Simulations results show that the empirical synchronized traffic flow,the metastable traffic states and the periodic property of traffic jams can be simulated by the new model.Finally,the calibration and validation are conduted to test the performance of the new model.
Two-phase traffic flow models usually presume that there is a unique relationship between the flow rate and traffic density under the steady state condition,in which,traffic flow is classified into the free flow phase and congested flow phase.Phase transition involved is the transition from free flow to jams.Based on a long-term empirical data analysis,Kerner introduced the Three-Phase Theory(KTPT),which classifies the congested traffic into the synchronized flow and the wide moving jams.Phase transitions involved are the transition from free flow to synchronized flow and from synchronized flow to wide moving jams,which are essentially different from Two-phase theory.In order to reproduce synchronized traffic flow,a variety of complex models has been proposed,in which cellular automaton models predominate.Recently,Jiang et al.(2014,2015) carried out a car following experiment on a 3.2-km-long open road section,in which a platoon of 25 passenger cars has been studied.The leading vehicle was asked to move with the constant speed.The formation and development of traffic oscillations have been observed.The results showed that the standard deviations of speed increase in a concave or linear way along the 25-car-platoon.For the latter case,due to the physical limits of speeds,unconditional concavity,i.e.,a decreasing increment of the amplitude from car to car is expected for sufficiently large platoons.Later,the concave growth pattern of oscillations is also verified by the empirical NGSIM data(Tian,et al.,2016).Moreover,Jiang et al.(2014,2015) have shown that(i) the simulation results of the Two-phase models,such as GMs,Gipps' Model,OVM,FVDM and IDM,run against this finding since the standard deviation initially increases in a convex way in the unstable density range;(ii) by removing the fundamental diagram in two-phase models and allowing the traffic state to span a two-dimensional region in velocity-spacing plane,the growth pattern of disturbances has changed and becomes qualitatively in accordance with the observations.Inspired by above observations,we wonder that whether there is the simple car following model that can successfully generate the synchronized traffic flow and predict the concave growth of traffic oscillations.Since up to now models that can reproduce the synchronized traffic flow have described more aspects of driving behavior,which have been criticized and suspected due to their complexity and rich parameters.In light of these reasons,the simple car following model is necessary with the capability of simulating the synchronized traffic flow and the concave growth of traffic oscillations,which not only helps to understand the mechanism of synchronized traffic flow but also the concave growth pattern of traffic oscillations.To this end,this paper put forward such a simple model based on the stable Newell car following model in which only driving stochasticity is taken into account.Simulations results show that the empirical synchronized traffic flow,the metastable traffic states and the periodic property of traffic jams can be simulated by the new model.Finally,the calibration and validation are conduted to test the performance of the new model.
引文

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