Analysis of a modified two-lane lattice model by considering the density difference effect

Gupta, Arvind; Redhu, Poonam

doi:10.1016/j.cnsns.2013.09.027

Cited by 158 publications

(19 citation statements)

References 23 publications

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“…Wang [39] and Gupta [40] extended the density difference effect to the two-lane traffic, respectively, and Wang [41] made an extension to the multiple density difference effect on a single lane. Previous studies showed that multiple information is helpful to improve the stability of traffic flow in single-lane system, i.e., the more information the driver could obtain, the more stable the traffic flow would be [41,42].…”

Section: Introductionmentioning

confidence: 98%

“…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%

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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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Section: Introductionmentioning

confidence: 98%

Section: Introductionmentioning

confidence: 99%

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

et al. 2014

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“…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

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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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“…have turned more and more serious and attracted researchers to develop various traffic flow models to explore the complex traffic phenomena from different perspective [1,2]. Roughly speaking, the existing traffic flow models can be divided into micro models and macro models [26][27][28][29][30][31][32][33][34][35][36][37][38][39][40][41][42][43][44], where the micro models focus on investigating the micro traffic phenomena (e.g., the car-following behavior, lane-changing, overtaking, etc.) while the macro models focus on investigating the macro properties of traffic flow (e.g., the relationships among density, speed and flow).…”

Section: Introductionmentioning

confidence: 99%