A kinematic wave theory of lane-changing traffic flow

Jin, Wen-Long

doi:10.1016/j.trb.2009.12.014

Cited by 170 publications

(83 citation statements)

References 41 publications

(50 reference statements)

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“…While more complicated models are available (e.g. Leclercq et al, 2011 which models capacity drop as a consequence of merging/acceleration effects, and Jin (2010), where detailed spatial weaving models are introduced), this simple model is chosen for the optimal controller to ensure that efficient solutions can be obtained.…”

Section: Modified Ln-ctmmentioning

confidence: 99%

Computationally efficient model predictive control of freeway networks

Muralidharan

Horowitz

2015

Transportation Research Part C: Emerging Technologies

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Section: Modified Ln-ctmmentioning

confidence: 99%

Computationally efficient model predictive control of freeway networks

Muralidharan

Horowitz

2015

Transportation Research Part C: Emerging Technologies

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“…Besides, the hybrid approach combining microscopic and macroscopic model, which can be seen in Hong et al (2010) and Okaue and Okushima (2010), is not feasible in the model-based decision support system. Tang et al (2009) andJin (2010) developed macroscopic models depicting lane change traffic which considered the disturbances to the traffic flow caused by lane changes. However, the representation of the models is not in lane-specific manner.…”

Section: State-of-the-artmentioning

confidence: 99%

Simulating Lane-changing Dynamics towards Lane-flow Equilibrium Based on Multi-lane First Order Traffic Flow Model

Shiomi

Taniguchi

Uno

et al. 2015

Transportation Research Procedia

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It is well known that under the condition of high traffic volume lane-flow distribution becomes unbalanced; more traffic tends to use a median lane rather than a middle and outer lane, which causes the deterioration of traffic capacity at bottleneck sections. As intensive development of ITS, active and dynamic lane management has been practically implemented. By employing the technology of ITS, balancing lane-flow distribution is one of the feasible solutions to increase the throughput of bottleneck flow. However, the mechanism of the unbalanced usage among lanes is still unclear and traffic flow models enabling online and network-wide evaluation of dynamic and strategic lane management have not been proposed due to the lack of the method to computing lane-based traffic flow including lane-changing dynamics. This paper developed the multi-lane first order traffic flow model, which depicts the dynamics of lane-changing. It is assumed that each vehicle changes the lane to improve its utility or decrease its disutility, and also that the equilibrium of lane flow distribution is achieved as the condition of stochastic user equilibrium (SUE), where all drivers believe that they cannot improve their utility by changing the lanes. Thus, in the model, lane-changes are represented as the dynamics towards lane-flow equilibrium. As a result of simulating multilane traffic on freeway without any merging and diverging, it is revealed that the proposed model can represent the equilibrium curve of laneflow distribution, and depict the propagation of traffic congestion at a lane-drop bottleneck section.

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“…Afterwards, Lighthill, Whitham and Richards [2,3] have conducted analytical works now known as the LWR model, whereas other analytical-based traffic models have also been reported in Refs. [4][5][6][7]. The main physical formula in macroscopicbased models is expressed using a mass conservation law, whereas the vehicles are assumed to occupy the lane continuously.…”

Section: Introductionmentioning

confidence: 99%