An improved continuum model for traffic flow considering driver's memory during a period of time and numerical tests

2017 ◽  
Vol 381 (34) ◽  
pp. 2792-2800 ◽  
Author(s):  
Rongjun Cheng ◽  
Hongxia Ge ◽  
Jufeng Wang
Keyword(s):  
Traffic Flow ◽  
Continuum Model ◽  
Numerical Tests

A new continuum model for traffic flow and numerical tests

2002 ◽  
Vol 36 (5) ◽  
pp. 405-419 ◽  
Author(s):  
Rui Jiang ◽  
Qing-Song Wu ◽  
Zuo-Jin Zhu
Keyword(s):  
Traffic Flow ◽  
Continuum Model ◽  
Numerical Tests

A NEW MULTI-CLASS CONTINUUM MODEL FOR TRAFFIC FLOW

2007 ◽  
Vol 3 (1) ◽  
pp. 73-85 ◽  
Author(s):  
A. K. Gupta ◽  
V. K. Katiyar
Keyword(s):  
Traffic Flow ◽  
Continuum Model

scholarly journals Continuum Model for Traffic Flow considering Safe Driving Awareness Heterogeneity

2015 ◽  
Vol 2015 ◽  
pp. 1-6 ◽  
Author(s):  
Youzhi Zeng ◽  
Ning Zhang
Keyword(s):  
Traffic Flow ◽  
Continuum Model ◽  
Safe Driving ◽  
Car Following ◽  
Car Following Model ◽  
The Difference ◽  
Flow Anisotropy

This paper defines the concepts of region representative vehicle and driver and region representative safe driving awareness and its heterogeneity, and, based on these concepts and a new car-following model proposed, it proposes a new continuum model for traffic flow considering region representative safe driving awareness heterogeneity. Analyses show that the new continuum model follows traffic flow anisotropy principle, and the following insights can be gotten: (1) the bigger the difference of the preceding region representative safe driving awareness coefficient minus the following region representative safe driving awareness coefficient is, the less the probability of the wrong-way travel (the negative velocity) problem in the new continuum model is; (2) when the preceding region representative safe driving awareness coefficient is not less than the following region representative safe driving awareness coefficient, there is no wrong-way travel problem in the new continuum model, and vice versa.

DENSITY WAVE IN A NEW ANISOTROPIC CONTINUUM MODEL FOR TRAFFIC FLOW

2009 ◽  
Vol 20 (11) ◽  
pp. 1849-1859 ◽  
Author(s):  
LEI YU ◽  
ZHONG-KE SHI
Keyword(s):  
Traffic Flow ◽  
Continuum Model ◽  
Local Density ◽  
Kdv Equation ◽  
Density Wave ◽  
Flow Speed ◽  
Nonlinear Phenomena ◽  
Neutral Stability ◽  
Local Cluster ◽  
The Stability

In this paper, we apply a new anisotropic continuum model proposed by Gupta and Katiyar (GK model, for short) [J. Phys. A: Math. Gen.38, 4069 (2005)] to study the density wave of traffic flow. The GK model guarantees the characteristic speeds are always less than or equal to the macroscopic flow speed and overcomes the wrong way travel problem which exists in many high-order continuum models. The stability condition of the GK model is obtained. Applying nonlinear analysis to the GK model, we can obtain the soliton, one type of local density wave, which is induced by the density fluctuation in traffic flow. The soliton wave, which is determined near the neutral stability line by the Korteweg-de Vries (KdV) equation, is discussed in great detail. The numerical results show that local cluster effects which are consistent with the diverse nonlinear phenomena observed in realistic traffic flow can be induced from the GK model.

scholarly journals An Improved Macro Model of Traffic Flow with the Consideration of Ramps and Numerical Tests

2015 ◽  
Vol 2015 ◽  
pp. 1-13 ◽  
Author(s):  
Zhongke Shi ◽  
Wenhuan Ai ◽  
Dawei Liu
Keyword(s):  
Traffic Flow ◽  
Phase Plane ◽  
Macro Model ◽  
Traffic Jams ◽  
Numerical Tests ◽  
Stop And Go ◽  
Point Equation ◽  
Improved Model ◽  
The Relationship ◽  
Real Traffic

We present an improved macro model for traffic flow based on the existing models. The equilibrium point equation of the model is obtained. The stop-and-go traffic phenomenon is described in phase plane and the relationship between traffic jams and system instability is clearly shown in the phase plane diagrams. Using the improved model, some traffic phenomena on a highway with ramps are found in this paper. The numerical simulation is carried out to investigate various nonlinear traffic phenomena with a single ramp generated by different initial densities and vehicle generation rates. According to the actual road sections of Xi’an-Baoji highways, the situations of morning peak with several ramps are also analyzed. All these results are consistent with real traffic, which shows that the improved model is reasonable.

Improved High-Order Model for Freeway Traffic Flow

1998 ◽  
Vol 1644 (1) ◽  
pp. 37-46 ◽  
Author(s):  
Guoqing Liu ◽  
Anastasios S. Lyrintzis ◽  
Panos G. Michalopoulos
Keyword(s):  
Flow Velocity ◽  
Traffic Flow ◽  
Continuum Model ◽  
Hyperbolic Conservation Laws ◽  
Heavy Traffic ◽  
High Order ◽  
Order Model ◽  
Equilibrium Limit ◽  
Characteristic Speed ◽  
Linearized Stability

An improved high-order continuum model is developed based on hyperbolic conservation laws with relaxation, linearized stability analysis, and more realistic considerations of traffic flow. The improved high-order model allows smooth traveling wave solutions as well as contact shocks (different densities moving at the same speed), is able to describe the amplification of small disturbances on heavy traffic, and allows fluctuations of speed around the equilibrium values. Furthermore, unlike existing high-order models, it does not result in negative speeds at the tail of congested regions and disturbance propagation speeds greater than the traffic flow velocity because the improved model has a zero characteristic speed and a nonnegative characteristic speed that is equal to the traffic flow velocity. The relaxation time is a function of density and, in the equilibrium limit, the improved high-order model is consistent with the simple continuum model. The improved high-order model is compared with the simple continuum model. Exemplary test results suggest that the improved high-order model is intuitively correct. Comparison of numerical results with field data suggests that the improved high-order model yields lower error levels than the simple continuum model.

Nonlinear analysis of an improved continuum model considering headway change with memory

2018 ◽  
Vol 32 (03) ◽  
pp. 1850037 ◽  
Author(s):  
Rongjun Cheng ◽  
Jufeng Wang ◽  
Hongxia Ge ◽  
Zhipeng Li
Keyword(s):  
Energy Consumption ◽  
Nonlinear Analysis ◽  
Traffic Flow ◽  
Linear Stability ◽  
Continuum Model ◽  
Density Wave ◽  
Linear Stability Theory ◽  
Traffic Density ◽  
Neutral Stability ◽  
With Memory

Considering the effect of headway changes with memory, an improved continuum model of traffic flow is proposed in this paper. By means of linear stability theory, the new model’s linear stability with the effect of headway changes with memory is obtained. Through nonlinear analysis, the KdV–Burgers equation is derived to describe the propagating behavior of traffic density wave near the neutral stability line. Numerical simulation is carried out to study the improved traffic flow model, which explores how the headway changes with memory affected each car’s velocity, density and energy consumption. Numerical results show that when considering the effects of headway changes with memory, the traffic jams can be suppressed efficiently. Furthermore, research results demonstrate that the effect of headway changes with memory can avoid the disadvantage of historical information, which will improve the stability of traffic flow and minimize car energy consumption.

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