Journal
NONLINEAR DYNAMICS
Volume 91, Issue 2, Pages 777-784Publisher
SPRINGER
DOI: 10.1007/s11071-017-3908-0
Keywords
Traffic flow; mKdV equation; Traffic interruption probability; Backward looking effect
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Funding
- National Natural Science Foundation of China [71571107, 61773290, 11702153]
- Natural Science Foundation of Zhejiang Province, China [LY18A010003, LY16G010003]
- K. C. Wong Magna Fund in Ningbo University, China
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By incorporating the backward looking effect and traffic interruption probability, we put forward an improved lattice model. Applying linear stability analysis, linear stability criterion is derived. The mKdV equation is deduced through nonlinear theory, which demonstrates that the solution of mKdV equation can describe traffic congestion. Furthermore, numerical simulation shows that the two factors can enhance traffic flow stability in the driving process.
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