期刊
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
卷 59, 期 -, 页码 553-564出版社
ELSEVIER SCIENCE BV
DOI: 10.1016/j.cnsns.2017.11.026
关键词
Optimal-velocity model; Stability condition; Traffic jamming; Traffic hysteresis
类别
资金
- National Natural Science Foundation of China [11262003, 11672176]
- National Natural Science Foundation of Guangxi [20140593]
In this paper, a mean-field velocity difference model(MFVD) is proposed to describe the average effect of multi-vehicle interactions on the whole road. By stability analysis, the stability condition of traffic system is obtained. Comparison with stability of full velocity-difference (FVD) model and the completeness of MFVD model are discussed. The mKdV equation is derived from MFVD model through nonlinear analysis to reveal the traffic jams in the form of the kink-antikink density wave. Then the numerical simulation is performed and the results illustrate that the average effect of multi-vehicle interactions plays an important role in effectively suppressing traffic jam. The increase strength of the mean-field velocity difference in MFVD model can rapidly reduce traffic jam and enhance the stability of traffic system. (C) 2017 Elsevier B.V. All rights reserved.
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