Effect of optimal estimation of flux difference information on the lattice traffic flow model

Shu-hong Yang, Chun-gui Li, Xin-lai Tang and Chuan Tian

Physica A: Statistical Mechanics and its Applications, 2016, vol. 463, issue C, 394-399

Abstract: In this paper, a new lattice model is proposed by considering the optimal estimation of flux difference information. The effect of this new consideration upon the stability of traffic flow is examined through linear stability analysis. Furthermore, a modified Korteweg–de Vries (mKdV) equation near the critical point is constructed and solved by means of nonlinear analysis method, and thus the propagation behavior of traffic jam can be described by the kink–antikink soliton solution of the mKdV equation. Numerical simulation is carried out under periodical condition with results in good agreement with theoretical analysis, therefore, it is verified that the new consideration can enhance the stability of traffic systems and suppress the emergence of traffic jams effectively.

Keywords: Optimal estimation of flux difference; Lattice hydrodynamic model; Traffic flow; mKdV equation (search for similar items in EconPapers)
Date: 2016
References: View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:463:y:2016:i:c:p:394-399

DOI: 10.1016/j.physa.2016.07.066

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