Impact of the traffic interruption probability of optimal current on traffic congestion in lattice model

2015 ◽  
Vol 425 ◽  
pp. 27-33 ◽  
Author(s):  
Guanghan Peng ◽  
Weizhen Lu ◽  
Hongdi He
Keyword(s):  
Lattice Model ◽  
Traffic Congestion ◽  
Optimal Current

Nonlinear analysis of lattice model with the consideration of multiple optimal current differences for two-lane freeway

2015 ◽  
Vol 29 (04) ◽  
pp. 1550006 ◽  
Author(s):  
Guanghan Peng
Keyword(s):  
Numerical Simulation ◽  
Stability Analysis ◽  
Nonlinear Analysis ◽  
Traffic Flow ◽  
Linear Stability ◽  
Lattice Model ◽  
Mkdv Equation ◽  
Traffic System ◽  
Optimal Current ◽  
The Stability

In this paper, a new lattice model is proposed with the consideration of the multiple optimal current differences for two-lane traffic system. The linear stability condition and the mKdV equation are obtained with the considered multiple optimal current differences effect by making use of linear stability analysis and nonlinear analysis, respectively. Numerical simulation shows that the multiple optimal current differences effect can efficiently improve the stability of two-lane traffic flow. Furthermore, the three front sites considered, is the optimal state of two-lane freeway.

A modified lattice model of traffic flow with the consideration of the downstream traffic condition

2019 ◽  
Vol 33 (02) ◽  
pp. 1950008 ◽  
Author(s):  
Chenqiang Zhu ◽  
Shuai Ling ◽  
Shiquan Zhong ◽  
Lishan Liu
Keyword(s):  
Traffic Flow ◽  
Lattice Model ◽  
Traffic Congestion ◽  
Density Wave ◽  
Modern Society ◽  
Microscopic Model ◽  
Macroscopic Model ◽  
Traffic Condition ◽  
Flow Models ◽  
Traffic Pattern

Traffic congestion has attracted considerable attention in modern society. Many researchers have proposed tremendous traffic flow models. These models can be divided into microscopic model, mesoscopic model and macroscopic model. With the progress of technology, it is possible to get the information of the preceding vehicles, i.e. the downstream traffic condition. Drivers can adjust their driving behaviors according to the downstream condition. This mechanism has been considered in microscopic model, and it is found that this mechanism can not only stabilize the traffic, but also bring about some new phenomena, such as synchronized traffic pattern. In the macroscopic model, what will the traffic flow be after considering the mechanism? In this paper, a term describing the downstream traffic condition is added in Nagatani’s single-lane lattice model. Through theoretical study and numerical simulation, it can be found that traffic is more stable when the downstream traffic condition is considered. Besides, the modified model can reproduce the soliton wave, kink wave properly. Moreover, the amplitude and frequency of density wave with different influence forms of the front lattices on the current lattice are almost the same as found to reflect the different influence forms do not have significant effect on the stability.

Nonlinear Analysis of Traffic Flow for a Lattice Model in an Intelligent Transportation Environment

2011 ◽  
Vol 187 ◽  
pp. 464-468
Author(s):  
Zhi Peng Li ◽  
Shan Shan Zhang ◽  
Xing Li Li ◽  
Fu Qiang Liu
Keyword(s):  
Nonlinear Analysis ◽  
Lattice Model ◽  
Kdv Equation ◽  
Intelligent Transportation ◽  
Reductive Perturbation Method ◽  
Traffic Jam ◽  
Local Current ◽  
Modified Kdv Equation ◽  
Optimal Current ◽  
The Difference

In this paper, the lattice model which depends not only on the difference of the optimal current and the local current but also on the relative currents is presented and analyzed in detail. From the nonlinear analysis to the extended models, the relative currents dependence of the propagating kink solutions for traffic jam are obtained by deriving the modified KdV equation near the critical point by using the reductive perturbation method.

ANALYSIS OF GENERALIZED OPTIMAL CURRENT LATTICE MODEL FOR TRAFFIC FLOW

2008 ◽  
Vol 19 (05) ◽  
pp. 727-739 ◽  
Author(s):  
WEN-XING ZHU ◽  
EN-XIAN CHI
Keyword(s):  
Traffic Flow ◽  
Lattice Model ◽  
Vries Equation ◽  
Linear Stability Theory ◽  
Analysis Method ◽  
Optimal Current ◽  
Simulation Results ◽  
The Stability ◽  
Propagation Velocities ◽  
Better Than

A generalized optimal current lattice model (GOCLM) for traffic flow is proposed to describe the motion of the dynamical traffic flow with a consideration of multi-interaction of the front lattice sites. In order to verify the reasonability of the new model, the stability condition is obtained by the use of linear stability theory. The modified KdV (Korteweg–de Vries) equation is derived by the use of the nonlinear analysis method and the kink-antikink soliton solution is obtained near the critical point. The propagation velocities of density waves are calculated for different numbers of the front interactions. A numerical simulation is carried out to check out the performance of GOCLM for traffic flow. The simulation results show that GOCLM is better than the previous models in suppressing the traffic jams.

Understanding of spatiotemporal congestion patterns: A lattice model with predictive effect and density integral

2021 ◽  
pp. 2150206
Author(s):  
Tao Wang ◽  
Sainan Zhang ◽  
Zhen Li ◽  
Shubin Li ◽  
Jing Yuan ◽  
...  
Keyword(s):  
Numerical Simulation ◽  
Lattice Model ◽  
Traffic Congestion ◽  
Development Process ◽  
Mkdv Equation ◽  
Traffic Model ◽  
Critical Stability ◽  
Continuous Density ◽  
Simulation Results ◽  
Predictive Effect

To further enhance the adaptability of traffic model in actual traffic flow, this paper puts forward a lattice model with considering both the predictive effect and the continuous density of historical information. The critical stability condition is derived from linear stability analysis, and the phase diagram clearly shows that considering the predictive effect and the continuous historical density information is beneficial to reduce traffic congestion. Then, a mKdV equation is obtained by nonlinear analysis, which enable to depict the development process of blocked flow. Finally, the numerical simulation results are confirmed that the predictive effects and continuous historical density information have the ability to suppress traffic congestion.

A Novel Lattice Model on a Gradient Road With the Consideration of Relative Current

2015 ◽  
Vol 10 (6) ◽  
Author(s):  
Jin-Liang Cao ◽  
Zhong-Ke Shi
Keyword(s):  
Traffic Flow ◽  
Lattice Model ◽  
Traffic Congestion ◽  
Linear Stability Theory ◽  
Stable Region ◽  
Congested Traffic ◽  
Stop And Go ◽  
De Vries ◽  
Analytical Result ◽  
The Stability

In this paper, a novel lattice model on a single-lane gradient road is proposed with the consideration of relative current. The stability condition is obtained by using linear stability theory. It is shown that the stability of traffic flow on the gradient road varies with the slope and the sensitivity of response to the relative current: when the slope is constant, the stable region increases with the increasing of the sensitivity of response to the relative current; when the sensitivity of response to the relative current is constant, the stable region increases with the increasing of the slope in uphill and decreases with the increasing of the slope in downhill. A series of numerical simulations show a good agreement with the analytical result and show that the sensitivity of response to the relative current is better than the slope in stabilizing traffic flow and suppressing traffic congestion. By using nonlinear analysis, the Burgers, Korteweg–de Vries (KdV), and modified Korteweg–de Vries (mKdV) equations are derived to describe the triangular shock waves, soliton waves, and kink–antikink waves in the stable, metastable, and unstable region, respectively, which can explain the phase transitions from free traffic to stop-and-go traffic, and finally to congested traffic. One conclusion is drawn that the traffic congestion on the gradient road can be suppressed efficiently by introducing the relative velocity.

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