Analyses of driver’s anticipation effect in sensing relative flux in a new lattice model for two-lane traffic system

Gupta, Arvind; Redhu, Poonam

doi:10.1016/j.physa.2013.07.040

Cited by 233 publications

(30 citation statements)

References 37 publications

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“…Subsequently, many lattice models [24][25][26][27][28][29][30][31][32][33][34][35][36][37][38][39] have been put forward with different factors. Tian et al [16] further studied the effect of the optimal current difference.…”

Section: The New Modelmentioning

confidence: 99%

“…Tian et al [16] further studied the effect of the optimal current difference. Moreover, some researchers [19][20][21][22][23][24][25][26][27][28] found out that the effect of driver's anticipation in lattice models can improve stability of traffic flow. However, the multiple optimal current differences' anticipation effect has not been considered in previous lattice models.…”

Section: The New Modelmentioning

confidence: 99%

“…Therefore, Peng et al [23] proposed a new lattice model with the driver's forecast effects term. Subsequently, various kinds of anticipation effects [24][25][26][27][28] were considered in lattice models. Above models confirm that the anticipation effects can improve traffic characteristics.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Nonlinear Analysis of Traffic Model with the Consideration of Multiple Optimal Current Differences’ Anticipation Effect

Li¹,

Fang²,

Peng³

2017

dtcse

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Abstract. In this paper, we propose a new lattice model by considering the multiple optimal current differences' anticipation effect on single lane. The linear stability condition is deduced from the linear stability analysis. And the mKdV equation about multiple optimal current differences' anticipation effect is educed through nonlinear analysis. Furthermore, numerical simulation demonstrates that it efficiently improves the stability of traffic flow for the multiple optimal current differences' anticipation effect. It is more important that the triple optimal current differences' anticipation considered is the optimal state in the new model.

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Section: The New Modelmentioning

confidence: 99%

Section: The New Modelmentioning

confidence: 99%

See 1 more Smart Citation

Nonlinear Analysis of Traffic Model with the Consideration of Multiple Optimal Current Differences’ Anticipation Effect

Li¹,

Fang²,

Peng³

2017

dtcse

View full text Add to dashboard Cite

show abstract

“…Among them, one of the most well known is lattice hydrodynamic (LH) approach [14] which is the discrete version of the hydrodynamic model and revealed the dynamical evolution of traffic congestion in terms of density waves. Subsequently, lattice hydrodynamic model was widely referred and extended to study various nonlinear phenomena present in the real traffic flow on a single-lane [15][16][17][18] and two-lane [19][20][21][22] system.…”

Section: Introductionmentioning

confidence: 99%

The role of passing in a two-dimensional network

Redhu

Gupta

2016

Nonlinear Dyn

Self Cite

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The phenomenon of passing on a twodimensional network has been studied through lattice hydrodynamic approach. Near the critical point, the effect of passing is investigated theoretically and numerically. The modified Korteweg-de Vries equation near the critical point is derived using the reduction perturbation method through nonlinear analysis. Analytically, it is shown that for all possible configurations of vehicle, the stable region significantly reduces with an increase in the passing rate. It is shown that the jamming transition occurs among no jam to chaotic jam for any configuration of vehicles for larger rate of passing constant, while for smaller rate of passing, the jamming transitions occur from no jam to chaotic jam through kink jam for any configuration of vehicles. The results show that the modified model is able to explain the complex phenomena of traffic flow at a better level of accuracy than the most of the existing models. Simulation results are found consistent with the theoretical findings, which confirm that the passing plays a significant role in a two-dimensional traffic system.

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“…In 1998, Nagatani [26] proposed a lattice model as a discrete version of the hydrodynamic model. Soon, many extended lattice hydrodynamic models [27][28][29][30][31][32][33][34][35][36][37][38][39][40][41] have been developed by considering various factors, e.g., the backward effect [27], the anticipation effect [28,29], lateral effects of the lane width [30], effect of driver's memory [31], effect of optimal current difference [32,33]. Furthermore, the lattice model was extended to two-lane traffic system by Nagatani [34], and such other cases as, flux difference effect by Wang [35], driver's anticipation effect by Peng [36], anticipation effect in sensing relative flux by Gupta and Redhu [37].…”

Section: Introductionmentioning

confidence: 99%

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

et al. 2014

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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.

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Analyses of driver’s anticipation effect in sensing relative flux in a new lattice model for two-lane traffic system

Cited by 233 publications

References 37 publications

Nonlinear Analysis of Traffic Model with the Consideration of Multiple Optimal Current Differences’ Anticipation Effect

Nonlinear Analysis of Traffic Model with the Consideration of Multiple Optimal Current Differences’ Anticipation Effect

The role of passing in a two-dimensional network

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

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