An extended lattice hydrodynamic model considering the driver's sensory memory and delayed-feedback control

被引:40
作者
Chang, Yinyin [1 ,2 ,3 ]
He, Zhiting [1 ,2 ,3 ]
Cheng, Rongjun [1 ,2 ,3 ]
机构
[1] Ningbo Univ, Fac Maritime & Transportat, Ningbo 315211, Zhejiang, Peoples R China
[2] Jiangsu Prov Collaborat Innovat Ctr Modern Urban, Nanjing 210096, Jiangsu, Peoples R China
[3] Ningbo Univ, Subctr, Natl Traff Management Engn & Technol Res Ctr, Ningbo 315211, Zhejiang, Peoples R China
基金
中国国家自然科学基金;
关键词
Traffic flow; Delayed-feedback control; Driver's sensory memory; Energy consumption; CAR-FOLLOWING MODEL; TRAFFIC FLOW MODEL; BIDIRECTIONAL PEDESTRIAN FLOW; CONTINUUM MODEL; BOUNDED RATIONALITY; JAMMING TRANSITION; FUEL CONSUMPTION; MKDV EQUATIONS; ANTICIPATION; DIFFERENCE;
D O I
10.1016/j.physa.2018.09.097
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
In this paper, an extended lattice hydrodynamic model with consideration of the driver's sensory memory and delayed-feedback control is proposed. The control signal about the density difference of the vehicles ahead is taken into account. The control method is used to analyze the stability of the extended model, and the stability condition for the model is derived. Energy consumption is also taken into account in the extended model, which reflects the fuel consumption and emissions of each vehicle. The numerical simulations are explored to illustrate and clarify the results of theoretical analysis. The simulation results show that the driver's sensory memory can enhance the stability of traffic flow and reduce the energy consumption, while density difference weakens the stability of traffic flow and increases the energy consumption. Numerical results are consistent with the corresponding theoretical analysis. (C) 2018 Elsevier B.V. All rights reserved.
引用
收藏
页码:522 / 532
页数:11
相关论文
共 61 条
[1]   DYNAMICAL MODEL OF TRAFFIC CONGESTION AND NUMERICAL-SIMULATION [J].
BANDO, M ;
HASEBE, K ;
NAKAYAMA, A ;
SHIBATA, A ;
SUGIYAMA, Y .
PHYSICAL REVIEW E, 1995, 51 (02) :1035-1042
[2]   The nonlinear analysis for a new continuum model considering anticipation and traffic jerk effect [J].
Cheng Rongjun ;
Ge Hongxia ;
Wang Jufeng .
APPLIED MATHEMATICS AND COMPUTATION, 2018, 332 :493-505
[3]   An improved continuum model for traffic flow considering driver's memory during a period of time and numerical tests [J].
Cheng Rongjun ;
Ge Hongxia ;
Wang Jufeng .
PHYSICS LETTERS A, 2017, 381 (34) :2792-2800
[4]   An extended macro traffic flow model accounting for multiple optimal velocity functions with different probabilities [J].
Cheng, Rongjun ;
Ge, Hongxia ;
Wang, Jufeng .
PHYSICS LETTERS A, 2017, 381 (32) :2608-2620
[5]   An extended continuum model accounting for the driver's timid and aggressive attributions [J].
Cheng, Rongjun ;
Ge, Hongxia ;
Wang, Jufeng .
PHYSICS LETTERS A, 2017, 381 (15) :1302-1312
[6]   Cellular-automaton model with velocity adaptation in the framework of Kerner's three-phase traffic theory [J].
Gao, Kun ;
Jiang, Rui ;
Hu, Shou-Xin ;
Wang, Bing-Hong ;
Wu, Qing-Song .
PHYSICAL REVIEW E, 2007, 76 (02)
[7]   The control method for the lattice hydrodynamic model [J].
Ge, Hong-Xia ;
Cui, Yu ;
Zhu, Ke-Qiang ;
Cheng, Rong-Jun .
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2015, 22 (1-3) :903-908
[8]   Effect of multi-phase optimal velocity function on jamming transition in a lattice hydrodynamic model with passing [J].
Gupta, Arvind Kumar ;
Sharma, Sapna ;
Redhu, Poonam .
NONLINEAR DYNAMICS, 2015, 80 (03) :1091-1108
[9]   Analysis of a modified two-lane lattice model by considering the density difference effect [J].
Gupta, Arvind Kumar ;
Redhu, Poonam .
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2014, 19 (05) :1600-1610
[10]   Analyses of driver's anticipation effect in sensing relative flux in a new lattice model for two-lane traffic system [J].
Gupta, Arvind Kumar ;
Redhu, Poonam .
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2013, 392 (22) :5622-5632