Journal
MODERN PHYSICS LETTERS B
Volume 32, Issue 20, Pages -Publisher
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0217984918502330
Keywords
Lattice model; linear stability; mKdV equation; memory effect; nonlinear stability analysis
Funding
- National Science Foundation of China [61703165]
- China Postdoctoral Science Foundation [2016M600653]
- Fundamental Research Funds for the Central Universities [D2171990]
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In this paper, a new lattice two-lane hydrodynamic model is proposed by considering the lane changing and the optimal current change with memory effect. The linear stability condition of the model is obtained through the linear stability analysis, which depends on both the lane-changing rate and the memory step. A modified Korteweg-de Vries (mKdV) equation is derived through nonlinear analysis to describe the propagating behavior of traffic density wave near the critical point. To verify the analytical findings, numerical simulation was carried out, which confirms that the optimal current change with memory of drivers and the memory step contribute to the stabilization of traffic flow, and that traffic congestion can be suppressed efficiently by taking the lane-changing behavior into account in the lattice model.
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