Article
Physics, Multidisciplinary
Jibiao Zhou, Siyuan Chen, Changxi Ma, Sheng Dong
Summary: This study established a lattice hydrodynamic model considering the overtaking effect of pedestrian traffic and the proportion of pedestrian flow in two opposite directions, and found that reducing the difference in pedestrian flow proportions can expand the stable region. Nonlinear analysis derived the mKdV equation describing density wave propagation behavior near the critical point, and identified the jamming transition and chaotic region based on overtaking effects. The numerical simulation verified the accuracy of linear and nonlinear analyses.
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
(2022)
Article
Physics, Multidisciplinary
Geng Zhang, Da-Dong Tian
Summary: In this paper, a new traffic lattice hydrodynamic model is proposed which considers the influence of multiple-lattice self-anticipative density integration on traffic flow in the V2V environment. Theoretical analysis and numerical simulations demonstrate that this effect can enhance the stability of traffic flow system.
Article
Physics, Multidisciplinary
Nikita Madaan, Sapna Sharma
Summary: This study investigates traffic dynamics and congestion emergence in a traffic network, developing a multi-lane lattice hydrodynamic model incorporating the optimal current difference effect. Analytical and numerical analyses show that considering optimal current difference in multi-lane highways improves traffic stability, with lane changing playing a significant role in enhancing the stability region and stabilizing traffic flow.
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
(2021)
Article
Mathematics, Applied
Yicai Zhang, Min Zhao, Dihua Sun, Shi Hui Wang, Shuai Huang, Dong Chen
Summary: This study investigates the mixed traffic lattice hydrodynamic model to analyze the mixed traffic situation with connected and non-connected vehicles, and obtains the stability conditions of the traffic system and the modified Korteweg-de Vries equation through linear and nonlinear analysis. The numerical simulation results confirm the theoretical findings, showing that increasing the communication range and permeability of connected vehicles will enhance the stability of the traffic system.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
(2021)
Article
Computer Science, Information Systems
Jin Wan, Min Zhao
Summary: A switched controller is proposed to stabilize traffic flow on mixed roads, and numerical simulations confirm its effectiveness in suppressing congestion with lower feedback gains.
Article
Green & Sustainable Science & Technology
Yuan Tang, Yu Xue, Muyang Huang, Qiyun Wen, Bingling Cen, Dong Chen
Summary: In this paper, a lattice hydrodynamic model for four-way pedestrian traffic considering turning capacity is proposed. Stability conditions are obtained through stability analysis. Using the reductive perturbation method of nonlinear analysis, the mKdV equation is derived and density wave solutions are obtained. The theoretical results are verified through numerical simulation of the evolution of pedestrian flow under different initial conditions and density profiles at different moments. The findings show that balanced distribution of pedestrian flow along horizontal and vertical passages promotes traffic stability, while pedestrians turning at intersections can lead to traffic congestion.
Article
Physics, Multidisciplinary
Cong Zhai, Ronghui Zhang, Tao Peng, Changfu Zhong, Hongguo Xu
Summary: With the development of communication and perception technologies, connected vehicles (CVs) are advancing rapidly. In the process of promoting CVs, there will be a coexistence of CVs and human-driven vehicles (HDVs) on the road network. Previous studies have not quantified the differences between mixed vehicular flow, assuming homogeneous road vehicles. Therefore, a heterogeneous lattice hydrodynamics model is proposed to consider the differences between CAVs and CVs in information acquisition. The model's linear stability and nonlinear phenomena are analyzed, and numerical simulations are conducted to test the impact of CVs' penetration rate and bi-directional visual field on traffic flow stability.
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
(2023)
Article
Computer Science, Information Systems
Bo Meng, Jing Yuan, Shubin Li
Summary: This paper proposes a two-lane lattice traffic flow model considering the empirical lane change rate, aiming to reveal the evolutionary characteristics of traffic congestion at sag sections and alleviate the problem. The results show that larger slope increases traffic flow stability in uphill sections and decreases in downhill sections, and the lane-change rate parameter effectively increases the stability region and suppresses traffic congestion.
Article
Computer Science, Interdisciplinary Applications
Zhang Yicai, Zhao Min, Sun Dihua, Zhou Zhaomin, Chen Dong
Summary: The paper introduces a new hydrodynamic traffic flow model that takes into account drivers' sensory memory and proposes a corresponding feedback control scheme. It is found through stability analysis that drivers' sensory memory can influence the instability region of traffic flow, and the new feedback control term can reduce this unstable area. Numerical simulations verify the impacts of drivers' sensory memory and the control sign on short-term, long-term behaviors, and hysteresis loop of traffic flow.
INTERNATIONAL JOURNAL OF MODERN PHYSICS C
(2021)
Article
Computer Science, Interdisciplinary Applications
Xiaoqin Li, Guanghan Peng
Summary: In this study, the individual difference of the honk effect on two lanes is explored through traffic modeling under the Vehicle to X environment. The impact of individual difference on traffic stability is investigated through linear stability analysis, and the mKdV equation is used to analyze the lane changing phenomena. Simulation results show that the individual difference of driving characteristics has a distinct impact on two lanes under the honking environment.
INTERNATIONAL JOURNAL OF MODERN PHYSICS C
(2022)
Article
Physics, Multidisciplinary
Yuxuan Li, Tong Zhou, Guanghan Peng
Summary: With the increase of traffic flux, the road flux limit method has emerged as an important traffic control measure that can influence the dynamic evolution of traffic. A novel lattice hydrodynamic model is proposed by integrating the flux limit effect (FLE) in a two-lane system under V2X environment. Linear stability analysis is conducted to obtain the stability conditions regarding FLE on two lanes, indicating that FLE can expand the stable range during lane change. Furthermore, numerical simulation is carried out to investigate the effects of FLE on density waves, fuel consumption, and pollution emissions in a two-lane system, demonstrating that FLE enhances traffic stability while reducing fuel consumption and pollution emissions during lane change.
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
(2023)
Article
Physics, Multidisciplinary
Lixiang Li, Rongjun Cheng, Hongxia Ge
Summary: A novel two-dimensional lattice hydrodynamic model is proposed in this study, with linear stability condition derived by exploiting control method and kink-antikink solution of modified Korteweg-de Vries (mKdV) equation obtained through nonlinear analysis. The numerical simulation results confirm the effectiveness of the new control signal in stabilizing traffic flow, while also indicating that increasing the driver's memory time leads to increased traffic flow instability.
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
(2021)
Article
Mathematics
Huimin Liu, Rongjun Cheng, Tingliu Xu
Summary: This study introduces a novel traffic flow model considering the driver's predictive effect. Results from numerical simulations and theoretical analysis show that the driver's predictive effect can effectively improve the stability of traffic flow, reduce traffic congestion, and enhance traffic flow stability.
Article
Computer Science, Interdisciplinary Applications
Yuxuan Li, Tong Zhou, Guanghan Peng
Summary: This paper presents a novel lattice hydrodynamic model for two lanes by considering the interruption probability effect. The stability of the two-lane system is analyzed through linear stability analysis, and the results indicate that the interruption probability effect can extend the stable region and strengthen the stability of the two-lane system. Simulation tests also show that the fuel consumption and emissions decrease significantly with the increasing interruption probability effect on two lanes.
INTERNATIONAL JOURNAL OF MODERN PHYSICS C
(2023)
Article
Physics, Multidisciplinary
Guanghan Peng, Teti Jia, Hua Kuang, Huili Tan
Summary: A novel lattice hydrodynamic model is proposed based on the delayed effect of synergistic information transmission involving density and flux. The model's stability condition is theoretically analyzed, and the modified Korteweg-de Vries equation near the critical point is obtained through nonlinear analysis. The results show that the delayed effect of collaborative information transmission can effectively suppress traffic congestion, reduce energy consumption, and improve the stability of the traffic system.
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
(2022)
Article
Mathematics, Interdisciplinary Applications
Qingying Wang, Hongxia Ge, Rongjun Cheng
Article
Computer Science, Interdisciplinary Applications
Xinyue Qi, Rongjun Cheng, Hongxia Ge
ENGINEERING COMPUTATIONS
(2020)
Article
Computer Science, Interdisciplinary Applications
Ting Wang, Rongjun Cheng, Hongxia Ge
Summary: This paper explores the impact of mixed traffic flow, self-stabilization effect, and lane changing behavior on traffic flow stability through an extended two-lane lattice hydrodynamic model. The results show that self-stabilization effect and lane changing behavior can alleviate traffic congestion. The numerical simulation verifies the theoretical findings and highlights the importance of considering these factors in traffic flow analysis.
ENGINEERING COMPUTATIONS
(2021)
Article
Computer Science, Interdisciplinary Applications
Shihao Li, Rongjun Cheng, Hongxia Ge, Pengjun Zheng
Summary: The study explores the influence of electronic throttle dynamics and average speed of multiple preceding vehicles on traffic flow stability. A novel car-following model integrating these factors is proposed and stability conditions are obtained using control theory. Simulation experiments confirm that considering these factors enhances traffic flow stability and increasing the number of preceding vehicles improves stability as well.
ENGINEERING COMPUTATIONS
(2021)
Article
Computer Science, Interdisciplinary Applications
Qingying Wang, Rongjun Cheng, Hongxia Ge
Summary: This paper explores how curved roads and empirical lane-changing rates affect the stability of traffic flow. The extended two-lane lattice hydrodynamic model takes into account the empirical lane-changing rate on a curved road. The findings suggest that the lane-changing rate can alleviate traffic congestion, and the model provides a theoretical reference for actual traffic governance.
ENGINEERING COMPUTATIONS
(2021)
Article
Physics, Multidisciplinary
Lixiang Li, Rongjun Cheng, Hongxia Ge
Summary: A novel two-dimensional lattice hydrodynamic model is proposed in this study, with linear stability condition derived by exploiting control method and kink-antikink solution of modified Korteweg-de Vries (mKdV) equation obtained through nonlinear analysis. The numerical simulation results confirm the effectiveness of the new control signal in stabilizing traffic flow, while also indicating that increasing the driver's memory time leads to increased traffic flow instability.
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
(2021)
Article
Physics, Applied
Rongjun Cheng, Shihao Li, Hongxia Ge
Summary: This study constructed an extended car-following model accounting for two preceding vehicles with mixed maximum velocity for more accurate analysis of traffic flow evolution. Theoretical and numerical analyses were conducted to infer the stability condition of the model and depict the propagation of traffic density wave, as well as to verify the correctness of theoretical analysis and analyze the influences of factors on traffic flow. Theoretical and experimental results indicate that considering two preceding vehicles' motion status with mixed maximum velocity leads to more stable traffic flow compared to only considering individual preceding vehicle's motion status.
MODERN PHYSICS LETTERS B
(2021)
Article
Physics, Applied
Yaxing Zheng, Hongxia Ge, Rongjun Cheng
Summary: A modified lattice hydrodynamic model is proposed in this study, which takes into account the driver's sensory memory and the average optimal velocity effect field to efficiently suppress traffic congestion. The theoretical analysis and numerical simulations validate the stability and effectiveness of the model, demonstrating its accuracy in describing the evolution of traffic flow.
MODERN PHYSICS LETTERS B
(2021)
Article
Engineering, Multidisciplinary
Weilin Ren, Rongjun Cheng, Hongxia Ge
Summary: This paper proposes a novel heterogeneous continuum traffic flow model that considers the differences of driver's psychological headway and their self-stabilizing effect on optimal velocity. Through linear and nonlinear analysis, the characteristic of traffic flow evolution is described, and numerical simulations are conducted to explore density evolution and Hopf bifurcation. The study reveals significantly different phenomena in heterogeneous traffic flow under different density conditions and the involvement of Hopf bifurcation in traffic flow evolution.
APPLIED MATHEMATICAL MODELLING
(2021)
Article
Mathematics, Applied
Weilin Ren, Rongjun Cheng, Hongxia Ge
Summary: This study introduces a novel heterogeneous traffic flow model accounting for different ratios of multiple optimal velocity functions and changes in electronic throttle angle with memory. The linear stability criterion, Korteweg-de Vries-Burgers equation, and Hopf bifurcation conditions for the improved model are theoretically derived and numerically simulated to investigate density fluctuations. The research focuses on addressing the evolution of bifurcation behavior in heterogeneous traffic flow through the initial point of the Hopf bifurcation.
APPLIED MATHEMATICS AND COMPUTATION
(2021)
Article
Computer Science, Interdisciplinary Applications
Huizhe Li, Hongxia Ge, Rongjun Cheng
Summary: The study reveals that driving between two lanes on a curved road has a negative impact on traffic flow stability; when speed is fixed, traffic flow becomes more unstable with the increase in the radius of the curve; estimating the speed of the vehicle ahead also affects the stability of traffic flow.
ENGINEERING COMPUTATIONS
(2022)
Article
Physics, Applied
Huimin Liu, Rongjun Cheng, Hongxia Ge
Summary: A novel two-lane lattice hydrodynamic model considering heterogeneous traffic flow on a gradient road is proposed and validated through linear stability analysis and nonlinear analysis. The study reveals that factors such as time lane change, slope, and mixing of different types of vehicles significantly influence traffic flow stability. Additionally, the modified Korteweg-de Vries equation is derived to describe the propagation characteristics of traffic density waves near critical points.
MODERN PHYSICS LETTERS B
(2021)
Article
Physics, Multidisciplinary
Xueyi Guan, Rongjun Cheng, Hongxia Ge
Summary: The paper introduces a feedback control considering both driver's anticipated time and response time-delay, and designs a bifurcated controller to suppress traffic congestion effectively. Simulation results demonstrate the controller's efficacy and stability in improving traffic efficiency and stability.
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
(2021)
Article
Engineering, Electrical & Electronic
Liyou Li, Hang Yang, Rongjun Cheng
Summary: This paper designs a communication topology anomaly response system (CTARS) to ensure the safety of connected and automated vehicles platoons (CAVP), which has shown remarkable effectiveness in experiments.
IET INTELLIGENT TRANSPORT SYSTEMS
(2023)
Article
Engineering, Multidisciplinary
Qun Ji, Hao Lyu, Hang Yang, Qi Wei, Rongjun Cheng
Summary: In this study, a feedback control method with consideration of time delay is designed for the solid angle model (SAM) in order to alleviate unstable factor-caused bifurcation and reduce oscillations in traffic flow. The stability and bifurcation condition of the new SAM is derived through linear analysis and bifurcation analysis, and the accurate range of stable region is obtained. Numerical simulations are performed to verify the feasibility and effectiveness of the proposed method, which show that feedback gain and delay are two key factors to alleviate traffic congestion in the SAM.
JOURNAL OF ZHEJIANG UNIVERSITY-SCIENCE A
(2023)
Article
Physics, Multidisciplinary
Tinggui Chen, Baizhan Xia, Dejie Yu, Chuanxing Bi
Summary: This study proposes a gradient phononic crystal structure for enhanced acoustic sensing. By breaking the symmetry of the PC structure, topologically protected edge states are introduced, resulting in topological acoustic rainbow trapping. The robustness and enhancement properties are verified numerically and experimentally.
