A two-lane lattice hydrodynamic model considering multiple information of preceding cars

Abstract

In this paper, a new lattice hydrodynamic model is proposed in two-lane traffic systems, considering multiple information of preceding cars. Multiple density difference and multiple flux difference effects are considered to improve traffic stability and reduce energy consumption. Stability condition is acquired by applying linear stability theory. Nonlinear analysis is conducted, the mKdV equation is derived, and the kink-antikink solution is obtained from the mKdV equation near the critical point. Numerical simulation validates theoretical analysis that the more information the drivers obtain, the smoother the traffic flow becomes, and the more the energy consumptions are reduced. Even it is found that considering only one preceding car with the combination of two types of information is better to improve traffic flow as well as save energy than considering three cars ahead with single type of information. This signifies that multiple density difference and multiple flux difference can enlarge

A two-lane lattice hydrodynamic model with mixed traffic of connected and non-connected vehicles

“…Nowadays, with the more frequent communication between cities and the increase of people's travel frequency, the number of vehicles has increased sharply, and the problem of traffic congestion has become a difficult problem to solve in most major cities in the world. For how to alleviate traffic congestion, scholars in different fields have established various traffic flow models by using different methods [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15]. Including: (i) car-following models, (ii) continuum traffic model, (iii) lattice hydrodynamic models (LHM), etc.…”

“…Jin et al [6] put forward a novel two-lane LHM by considering overtaking behavior. Wang et al [7] investigated the impact of preceding vehicle information on stability in a two-lane LHM. Peng [8] et al analyzed that honk effect extended the twolane LHM.…”

The impact of the density delay on the traffic evolution process in lattice hydrodynamic model under lane change on two lanes

“…where a = 1/τ indicates driver's sensitivity. Subsequently, many traffic factors have been mentioned to put up twolane lattice models [57][58][59][60][61][62][63][64][65][66][67][68][69][70][71]. However, few scholars explored the density delay effect in previous lattice models on two lanes during the evolution process.…”