Two-lane Lattice Hydrodynamic Model Research Articles

Congested traffic patterns of two-lane lattice hydrodynamic model with partial reduced lane

In this paper, we proposed a lattice hydrodynamic traffic model to study the congested traffic patterns on two-lane with the partial reduced lane via considering the upstream–downstream density difference and lane-changing rule. Using the lattice hydrodynamic model with the partial reduced lane for numerical simulation, various complex congested traffic patterns such as triggered stop-and-go (TSG), pinned localized cluster (PLC), oscillatory congested traffic (OCT), homogeneous congested traffic (HCT), homogeneous synchronized traffic (HST) and moving localized cluster (MLC) can be reproduced. Moreover, it is found that the sensitive coefficient λ of the upstream–downstream density difference plays a main role in generating these congested traffic patterns.

A new lattice model accounting for multiple optimal current differences’ anticipation effect in two-lane system

This paper extends a two-lane lattice hydrodynamic traffic flow model to take into account the driver’s anticipation effect in sensing the multiple optimal current differences. Based on the proposed model, we derive analytically the effect of driver’s anticipation of multiple optimal current differences on the instability of traffic dynamics. The phase diagrams have been plotted and discussed that the stability region enhances with anticipation effect in sensing multiple optimal current differences. Through simulation, it is found that the oscillation of density wave around critical density decreases with an increase in lattice number and anticipation time for transient and steady state. The simulation results are in good agreement with the theoretical analysis, which show that considering the driver’s anticipation of multiple optimal current differences in two-lane lattice model stabilizes the traffic flow and suppresses the traffic jam efficiently.

Congested traffic patterns of two-lane lattice hydrodynamic model with on-ramp

This paper attempts to reproduce the empirical phenomena of congested traffic flow with an on-ramp through a microscopic traffic model. First, an improved two-lane lattice hydrodynamic traffic flow model is proposed, which is capable of avoiding vehicles backward moving in original lattice hydrodynamic model. Then, the deterministic and stochastic on-ramps are designed and mapped into the new lattice model to reproduce the empirical phenomena. For the stochastic case, many empirical congested patterns are reproduced, such as moving localized cluster, triggered stop-and-go traffic (TSG), pinned localized cluster (PLC), oscillating congested traffic (OCT) and homogeneous congested traffic. For the deterministic case, a number of combination patterns of HST, PLC, TSG and OCT are found. Taken together, these results suggest that the present model is able to predict the congested traffic patterns.

Erratum to: Analysis of a new two-lane lattice hydrodynamic model with consideration of the global average flux

Erratum to: Analysis of a new two-lane lattice hydrodynamic model with consideration of the global average flux

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

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 the stable region and suppress traffic congestion as well as save energy effectively.

Analysis of a new two-lane lattice hydrodynamic model with consideration of the global average flux

A new two-lane traffic lattice hydrodynamic model is proposed with the consideration of the global average-and-optimal flux difference effect based on the local relative flux two-lane lattice model. First, the influence of the global average-and-optimal flux difference on the stability of traffic flow is investigated through linear stability theory. The results reveal that the unstable region will be shrunk by taking the global average-and-optimal flux difference effect into account. Additionally, by using the reductive perturbation method, the mKdV equation near the critical point is derived and traffic jam transition can be described by its kink–antikink soliton solution. The good agreement between the numerical simulations and the analytical results shows that traffic congestion can be suppressed efficiently by considering the global average-and-optimal flux difference and the local relative flux effects in two-lane traffic system and the local relative flux is more important than the global average-and-optimal flux difference in stabilizing traffic flow.

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

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.

Multiple density difference effect in the two-lane lattice hydrodynamic model

This paper presents a new lattice model by considering the multiple density difference effect in the two-lane traffic systems. We derive the stability condition and the mKdV equation near the critical point by the linear and nonlinear analysis, respectively. The results of the theoretical analysis manifest that the stable region is enlarged and traffic congestion is suppressed. Also, energy consumption and traffic emission are analyzed and are reduced by multiple density difference effect. The reason is that with considering more vehicles, more comprehensive information could be obtained for drivers to increase speed. This will be helpful to enhance the stability and reduce energy consumption as well as traffic emission. Numerical simulations validate theoretical analysis. We also discover that multiple density difference effect of three sites ahead is enough to improve traffic flow.

Lattice hydrodynamic modeling of two-lane traffic flow with timid and aggressive driving behavior

In this paper, a new two-lane lattice hydrodynamic traffic flow model is proposed by considering the aggressive or timid characteristics of driver’s behavior. The effect of driver’s characteristic on the stability of traffic flow is examined through linear stability analysis. It is shown that for both the cases of lane changing or without lane changing the stability region significantly enlarges (reduces) as the proportion of aggressive (timid) drivers increases. To describe the propagation behavior of a density wave near the critical point, nonlinear analysis is conducted and mKdV equation representing kink–antikink soliton is derived. The effect of anticipation parameter with more aggressive (timid) drivers is also investigated and found that it has a positive (negative) effect on the stability of two-lane traffic flow dynamics. Simulation results are found consistent with the theoretical findings which confirm that the driver’s characteristics play a significant role in a two-lane traffic system.

Phase transitions in the two-lane density difference lattice hydrodynamic model of traffic flow

In this paper, we derive the KdV equation from the two-lane lattice hydrodynamic traffic model considering density difference effect. The soliton solution is obtained from the KdV equation. Under periodical boundary, the KdV soliton of traffic flow is demonstrated by numerical simulation. The numerical simulation result is consistent with the nonlinear analytical result. Under open system, the density fluctuation of the downstream last one lattice is designed to explore the empirical congested traffic states. A phase diagram is presented which includes free traffic, moving localized cluster, triggered stop-and-go traffic, oscillating congested traffic, and homogeneous congested traffic. Finally, the spatiotemporal evolution of all the traffic states described in phase diagram are reproduced. Results suggest that the two-lane density difference hydrodynamic traffic model is suitable to describe the actual traffic.

Flow difference effect in the two-lane lattice hydrodynamic model

By introducing a flow difference effect, a modified lattice two-lane traffic flow model is proposed, which is proved to be capable of improving the stability of traffic flow. Both the linear stability condition and the kink—antikink solution derived from the modified Korteweg—de Vries (mKdV) equation are analyzed. Numerical simulations verify the theoretical analysis. Furthermore, the evolution laws under different disturbances in the metastable region are studied.