Journal
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
Volume 513, Issue -, Pages 438-446Publisher
ELSEVIER
DOI: 10.1016/j.physa.2018.09.025
Keywords
Traffic flow; Lattice hydrodynamic model; The effect of backward looking; Flow integral
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Funding
- National Natural Science Foundation of China [71571107, 61773290]
- K.C. Wong Magna Fund in Ningbo University, China
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In order to investigate the effect of backward looking and flow integral upon traffic flow, an improved lattice hydrodynamic model has been developed. The stability condition is obtained by the use of linear stability analysis. The result of stability analysis demonstrate that both the backward looking and flow integral play an important role in enhancing the stability of traffic flow. The mKdV equation is deduced by using the nonlinear theory, which demonstrates that traffic congestion can be described by the solution of mKdV equation. Numerical simulations are explored to study how backward looking and flow integral influence the stability of traffic flow. Numerical results verify that the traffic flow stability can be efficiently improved with the consideration of the above two factors. (C) 2018 Elsevier B.V. All rights reserved.
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