An improved lattice hydrodynamic model considering the influence of optimal flux for forward looking sites

被引:20
作者
Wang, Yunong [1 ,2 ,3 ]
Ge, Hongxia [1 ,2 ,3 ]
Cheng, Rongjun [1 ,2 ,3 ]
机构
[1] Ningbo Univ, Fac Maritime & Transportat, Ningbo 315211, Zhejiang, Peoples R China
[2] ITS Southeast Univ, Jiangsu Key Lab Urban, Nanjing 210096, Jiangsu, Peoples R China
[3] Ningbo Univ, Natl Traff Management Engn & Technol Res Ctr, Subctr, Ningbo 315211, Zhejiang, Peoples R China
基金
中国国家自然科学基金;
关键词
Traffic flow; Lattice hydrodynamic model; Delayed feedback control; Optimal flux; Energy consumption; TRAFFIC FLOW MODEL; CAR-FOLLOWING MODEL; DRIVERS BOUNDED RATIONALITY; MODIFIED KDV EQUATION; ENERGY-CONSUMPTION; JAMMING TRANSITION; PHASE-TRANSITION; FEEDBACK-CONTROL; SIMULATION; VEHICLES;
D O I
10.1016/j.physleta.2017.09.024
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
In this paper, a lattice hydrodynamic model is derived considering the delayed-feedback control influence of optimal flux for forward looking sites on a single-lane road which includes more comprehensive information. The control method is used to analyze the stability of the model. The critical condition for the linear steady traffic flow is deduced and the numerical simulation is carried out to investigate the advantage of the proposed model with and without the effect of optimal flux for forward looking sites. Moreover it indicates that the characteristic of the model can lead to a lower energy consumption in traffic system. The results are consistent with the theoretical analysis correspondingly. (C) 2017 Elsevier B.V. All rights reserved.
引用
收藏
页码:3523 / 3528
页数:6
相关论文
共 50 条
[21]   Multiple flux difference effect in the lattice hydrodynamic model [J].
Wang Tao ;
Gao Zi-You ;
Zhao Xiao-Mei .
CHINESE PHYSICS B, 2012, 21 (02)
[22]   Analysis of the historical time integral form of relative flux and feedback control in an extended lattice hydrodynamic model [J].
Chang, Yinyin ;
He, Zhiting ;
Cheng, Rongjun .
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2019, 523 :326-334
[23]   The stabilization effect of self-delayed flux integral for two-lane lattice hydrodynamic model [J].
Liu, Changqing ;
He, Yigang ;
Peng, Guanghan .
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2019, 535
[24]   The dynamic evolution integrating the flux limit effect in lattice hydrodynamic model on two lanes under V2X environment [J].
Li, Yuxuan ;
Zhou, Tong ;
Peng, Guanghan .
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2023, 626
[25]   The impact of equilibrium optimal flux deviation on traffic dynamics in lattice hydrodynamic model under V2X environment [J].
Li, Xiaoqin ;
Peng, Guanghan .
EPL, 2022, 139 (03)
[26]   Analysis of a novel lattice hydrodynamic model considering predictive effect and flow integral [J].
Wang, Ting ;
Cheng, Rongjun ;
Ge, Hongxia .
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2019, 527
[27]   A new lattice hydrodynamic model based on control method considering the flux change rate and delay feedback signal [J].
Qin, Shunda ;
Ge, Hongxia ;
Cheng, Rongjun .
PHYSICS LETTERS A, 2018, 382 (07) :482-488
[28]   Impact of Strong Wind and Optimal Estimation of Flux Difference Integral in a Lattice Hydrodynamic Model [J].
Liu, Huimin ;
Wang, Yuhong .
MATHEMATICS, 2021, 9 (22)
[29]   New Feedback Control Model in the Lattice Hydrodynamic Model Considering the Historic Optimal Velocity Difference Effect [J].
Peng, Guang-Han ;
Yang, Shu-Hong ;
Zhao, Hong-Zhuan .
COMMUNICATIONS IN THEORETICAL PHYSICS, 2018, 70 (06) :803-807
[30]   Analyses of a two-lane lattice hydrodynamic model incorporating predictive effect and self-delayed flux integral [J].
Kang, Chengjun ;
Qian, Yongsheng ;
Zeng, Junwei ;
Wei, Xuting .
MODERN PHYSICS LETTERS B, 2023, 37 (07)