Chin. Phys. B, 2021, Vol. 30(12): 120201    DOI: 10.1088/1674-1056/ac05b4
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# Stability analysis of multiple-lattice self-anticipative density integration effect based on lattice hydrodynamic model in V2V environment

Geng Zhang(张埂)1 and Da-Dong Tian(田大东)2,†
1 College of Computer and Information Science, Southwest University, Chongqing 400715, China;
2 College of Information Science and Engineering, Shandong Agricultural University, Tai'an 271018, China
Abstract  Under the environment of vehicle-to-vehicle (V2V) communication, the traffic information on a large scale can be obtained and used to coordinate the operation of road traffic system. 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. Through theoretical analysis, the linear stability condition of the new model is derived and the stable condition can be enhanced when more-preceding-lattice self-anticipative density integration effect is taken into account. The property of the unstable traffic density wave in the unstable region is also studied according to the nonlinear analysis. It is shown that the unstable traffic density wave can be described by solving the modified Korteweg-de-Vries (mKdV) equation. Finally, the simulation results demonstrate the validity of the theoretical results. Both theoretical analysis and numerical simulations demonstrate that multiple-lattice self-anticipative density integration effect can enhance the stability of traffic flow system in the V2V environment.
Keywords:  lattice hydrodynamic model      traffic stability      self-anticipative density integration      mKdV equation
Received:  11 March 2021      Revised:  23 April 2021      Accepted manuscript online:  27 May 2021
 PACS: 02.30.Jr (Partial differential equations) 45.70.Vn (Granular models of complex systems; traffic flow)
Fund: Project sponsored by the Natural Science Foundation of Chongqing, China (Grant No. cstc2019jcyj-msxmX0265).
Corresponding Authors:  Da-Dong Tian     E-mail:  dadong@sdau.edu.cn