The stabilization effect of the density difference in the modified lattice hydrodynamic model of traffic flow

Jun-fang Tian, Zhen-zhou Yuan, Bin Jia, Ming-hua Li and Guo-jun Jiang

Physica A: Statistical Mechanics and its Applications, 2012, vol. 391, issue 19, 4476-4482

Abstract: A modified lattice hydrodynamic model of traffic flow is proposed by introducing the density difference between the leading and the following lattice. The stability condition of the modified model is obtained through the linear stability analysis. The results show that considering the density difference leads to the stabilization of the system. The Burgers equation and mKdV equation are derived to describe the density waves in the stable and unstable regions respectively. Numerical simulations show that considering the density difference not only could stabilize traffic flow but also makes the lattice hydrodynamic model more realistic.

Keywords: Density difference; Lattice hydrodynamic model; Traffic flow; Burgers equation; MKdV equation (search for similar items in EconPapers)
Date: 2012
References: View complete reference list from CitEc
Citations: View citations in EconPapers (19)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:391:y:2012:i:19:p:4476-4482

DOI: 10.1016/j.physa.2012.04.027

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