Analysis of two-lane lattice hydrodynamic model with consideration of drivers’ characteristics

Geng Zhang, Di-hua Sun, Wei-ning Liu, Min Zhao and Sen-lin Cheng

Physica A: Statistical Mechanics and its Applications, 2015, vol. 422, issue C, 16-24

Abstract: A new lattice hydrodynamic model for two-lane traffic system is proposed with consideration of drivers’ timid or aggressive characteristics. The effect of drivers’ timid or aggressive characteristics on the stability of traffic flow is studied via linear analysis theory and nonlinear reductive perturbation method. The linear analysis results show that the stable region for aggressive drivers is much larger than that for timid drivers, which means that aggressive drivers are much more prompt than timid drivers in stabilizing traffic flow. Moreover, we derive the mKdV equation near the critical point and obtain its kink–antikink soliton solution to describe the feature of traffic jamming transition. The good agreement between numerical simulations and analytical results reveals that drivers’ characteristics have an important role in the stability of traffic flow and traffic jamming transition in two-lane traffic system.

Keywords: Traffic flow; Lattice hydrodynamic model; Two-lane traffic system; Drivers’ characteristics; MKdV equation (search for similar items in EconPapers)
Date: 2015
References: View complete reference list from CitEc
Citations: View citations in EconPapers (8)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:422:y:2015:i:c:p:16-24

DOI: 10.1016/j.physa.2014.11.017

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