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.
Geng Zhang(张埂) and Da-Dong Tian(田大东) Stability analysis of multiple-lattice self-anticipative density integration effect based on lattice hydrodynamic model in V2V environment 2021 Chin. Phys. B 30 120201
[1] Bando M, Hasebe K, Nakayama A, Shibata A and Sugiyama Y 1995 Phys. Rev. E51 1035 [2] Nagatani T 1998 Physica A261 599 [3] Dong C Y, Wang H, Wang W, Li Y and Hua X D 2018 Acta Phys. Sin.67 144501 (in Chinese) [4] Peng G H 2020 Chin. Phys. B29 084501 [5] Chen Y and Zhang W 2020 Acta Phys. Sin.69 064501 (in Chinese) [6] Jin Z Z, Cheng R J and Ge H X 2017 Chin. Phys. B26 110504 (in Chinese) [7] Gupta A K, Sharma S and Redhu P 2014 Commun. Theor. Phys.62 393 [8] Wang T, Cheng R J and Ge H X 2019 Physica A533 121915 [9] Zhang Y C, Zhao M, Sun D H, Wang S H, Huang S and Chen D 2021 Commun. Nonlinear Sci. Numer. Simul.94 105541 [10] Sun F X, Chow A H, Lo S M and Ge H X 2018 Physica A511 389 [11] Ge H X and Cheng R J 2008 Physica A387 6952 [12] Tian J F, Yuan Z Z, Jia B, Li M H and Jiang G J 2012 Physica A391 4476 [13] Zhang Y, Wang S, Pan D B and Zhang G 2021 Physica A561 125269 [14] Kang Y R and Sun D H 2013 Nonlinear Dynam.71 531 [15] Wang T, Gao Z Y, Zhao X M, Tian J F and Zhang W Y 2012 Chin. Phys. B21 211 [16] Ge H X, Cui Y, Zhu K Q and Cheng R J 2015 Commun. Nonlinear Sci. Numer. Simul.22 903 [17] Li Y F, Zhang L, Zheng T X and Li Y G 2015 Commun. Nonlinear Sci. Numer. Simul.29 224 [18] Qin S D, Ge H X and Cheng R J 2018 Phys. Lett. A382 482 [19] Liu H, Sun D H and Liu W N 2016 Physica A461 795 [20] Pan D B, Zhang G, Jiang S, Zhang Y and Cui B Y 2021 Physica A563 125440 [21] Zhao H Z, Zhang G, Li W Y, Gu T L and Zhou D 2018 Physica A503 1204 [22] He Y C, Zhang G and Chen D 2019 Int. J. Mod. Phys. B33 1950071 [23] Wang Q Y and Ge H X 2019 Physica A513 438 [24] Qi X Y, Ge H X and Cheng R J 2019 Physica A525 714 [25] Liu C Q, He Y G and Peng G H 2019 Physica A535 122421 [26] Zhang G, Sun D H, Liu H and Chen D 2017 Physica A486 806
Altmetric calculates a score based on the online attention an article receives. Each coloured thread in the circle represents a different type of online attention. The number in the centre is the Altmetric score. Social media and mainstream news media are the main sources that calculate the score. Reference managers such as Mendeley are also tracked but do not contribute to the score. Older articles often score higher because they have had more time to get noticed. To account for this, Altmetric has included the context data for other articles of a similar age.
