A lattice model accounting for multi-lane traffic system

Madaan, Nikita; Sharma, Sheetal

doi:10.1016/j.physa.2020.125446

Cited by 27 publications

(14 citation statements)

References 46 publications

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“…Generally speaking, there are three types of traffic models: microscopic models [6][7][8][9][10][11][12], lattice models [13][14][15][16][17][18][19][20], and macroscopic hydrodynamic models [21][22][23][24][25][26][27]. The macro model mainly refers to the continuous medium model of traffic flow, which regards a large number of vehicles as compressible continuous medium and studies the comprehensive average behavior of the vehicle group.…”

Section: Introductionmentioning

confidence: 99%

Modeling and Analyzing for a Novel Continuum Model Considering Self-Stabilizing Control on Curved Road with Slope

Li¹,

Wang²,

Wu³

2022

Computer Modeling in Engineering &Amp; Sciences

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It is essential to fully understand master the traffic characteristics of the self-stabilizing control effect and road characteristics to ensure the regular operation of transportation. Traffic flow on curved roads and slopes is irregular and more complicated than that on the straight road. However, most of the research only considers the effect of self-stabilizing in the straight road. This study attempts to bridge this deficiency from the following three aspects. First, we review the potential influencing factors of traffic flow stability, which are related to the vehicle's steady velocity, history velocity, and the turn radius of the road and the slope of the road. Based on the above review, an extended continuum model accounting for the self-stabilizing effect on a curved road with slope is proposed. Second, the linear stability criterion of the new model is derived by applying linear stability theory, and the neutral stability curve is obtained in detail. The modified KdV equation describing the evolution characteristics of traffic congestion is derived by using the nonlinear analysis method. Upon the theoretical analysis, the third aspect focuses on simulating the self-stabilizing effect under different slopes and radius, which demonstrates that the self-stabilizing effect is conducive to reducing congestion of the curved road with slope.

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Section: Introductionmentioning

confidence: 99%

Modeling and Analyzing for a Novel Continuum Model Considering Self-Stabilizing Control on Curved Road with Slope

Li¹,

Wang²,

Wu³

2022

Computer Modeling in Engineering &Amp; Sciences

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“…To investigate lane changing behaviors, Nagatani [47] further built a lattice model of two-lane traffic with lane changing rate. Also, different traffic factors [48][49][50][51][52][53][54][55][56][57][58][59] have been studied to develop twolane lattice models. In real traffic, the optimal velocity reflects the driver's expectation of traffic behaviors, which will obviously have an important impact on lane changing behavior in two-lane system.…”

mentioning

confidence: 99%

“…where a = 1/τ is the driver's sensitivity. Also, based on Nagatani's model, some traffic factors were taken into account to build two-lane lattice models [48][49][50][51][52][53][54][55][56][57][58][59]. However, the OVDE has not been involved in previous two-lane lattice models.…”

mentioning

confidence: 99%

The influence of the optimal velocity deviation on the traffic evolution process under lane change in two-lane lattice model

Li¹,

Jin²,

Peng³

2023

EPL

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In real traffic environment, there is always a certain deviation between the real traffic information and the expected traffic information, which definitely has an important impact on traffic flow. Consequently, the optimal velocity deviation effect (OVDE) is taken into account to build a novel lattice model on two lanes. moreover, the influence of OVDE on the linear stable condition is investigated, which shows that the OVDE plays a positive stable effect in two-lane traffic flow. Also, the OVDE can more relieve traffic congestion on two lanes via numerical simulations concerning the density and the hysteresis loop.

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“…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.…”

mentioning

confidence: 99%

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

Li¹,

Jin²,

Peng³

2023

EPL

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With the increase of the number of vehicles on the road, the traffic density increases gradually. Consequently, the density variation will play an important impact on the traffic dynamic behaviors. Hence, a new lattice hydrodynamic model is constructed by considering the density delay effect concerning the difference between the delayed density and the current density about the leading site on two lanes. the linear stable condition involving the density delay effect is inferred via theory analysis for two-lane traffic flow, which reveals that the density delay effect broadens the stable region in two-lane system. Moreover, numerical simulation demonstrates that the density delay effect smooths traffic congestion and improves the stability of traffic flow under lane change on two lanes according to the density waves and the hysteresis loops.

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A lattice model accounting for multi-lane traffic system

Cited by 27 publications

References 46 publications

Modeling and Analyzing for a Novel Continuum Model Considering Self-Stabilizing Control on Curved Road with Slope

Modeling and Analyzing for a Novel Continuum Model Considering Self-Stabilizing Control on Curved Road with Slope

The influence of the optimal velocity deviation on the traffic evolution process under lane change in two-lane lattice model

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

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