scholarly journals Lax-Friedrich Scheme for the Numerical Simulation of a Traffic Flow Model Based on a Nonlinear Velocity Density Relation

2015 ◽  
Vol 05 (02) ◽  
pp. 186-194 ◽  
Author(s):  
Mahmudul Hasan ◽  
Shirin Sultana ◽  
Laek Sazzad Andallah ◽  
Tauhedul Azam
Keyword(s):  
Numerical Simulation ◽  
Traffic Flow ◽  
Flow Model ◽  
Traffic Flow Model ◽  
Model Based ◽  
Density Relation ◽  
Nonlinear Velocity

scholarly journals Numerical Simulation of a Mathematical Traffic Flow Model Based on a Nonlinear Velocity-Density Function

1970 ◽  
Vol 34 (1) ◽  
pp. 15-22 ◽  
Author(s):  
MH Kabir ◽  
MO Gani ◽  
LS Andallah
Keyword(s):  
Numerical Simulation ◽  
Traffic Flow ◽  
Flow Model ◽  
Initial Boundary ◽  
Initial Boundary Value Problem ◽  
Traffic Flow Model ◽  
Upwind Difference Scheme ◽  
Density Relationship ◽  
Initial Boundary Value ◽  
Nonlinear Velocity

A mathematical macroscopic traffic flow model known as Lighthill, Whitham and Richards(LWR) model appended with a closure nonlinear velocity-density relationship yielding a quasilinearfirst order (hyperbolic) partial differential equation as an initial boundary value problem(IBVP) was considered. The traffic model IBVP by finite difference method which leads to a firstorder explicit upwind difference scheme was discretized. Computer programs for theimplementation of the numerical scheme and perform numerical experiments in order to verifysome qualitative traffic flow behaviour for various traffic parameters were developed.Key words: Numerical simulation; Traffic flow model; Nonlinear velocity; Density functionDOI: 10.3329/jbas.v34i1.5488Journal of Bangladesh Academy of Sciences, Vol.34, No.1, 15-22, 2010

Traffic flow model based on real data

2021 ◽  
Author(s):  
Teodora A. Mecheva ◽  
Nikolay R. Kakanakov
Keyword(s):  
Traffic Flow ◽  
Flow Model ◽  
Real Data ◽  
Traffic Flow Model ◽  
Model Based

An Extended Car-Following Model in a Multi-Interaction Driving System

2012 ◽  
Vol 178-181 ◽  
pp. 2717-2720
Author(s):  
Man Xian Tuo
Keyword(s):  
Numerical Simulation ◽  
Traffic Flow ◽  
Flow Model ◽  
Extended Model ◽  
Traffic Flow Model ◽  
Driving System ◽  
Car Following ◽  
Traffic Jams ◽  
Car Following Model ◽  
The Stability

An extended traffic flow model is proposed by introducing the multiple information of preceding cars. The linear stability condition of the extended model is obtained, which shows that the stability of traffic flow is improved by considering the interaction of preceding cars to the following car. Numerical simulation shows that the traffic jams are suppressed efficiently by taking into account the multiple information of the preceding cars.

scholarly journals A Macroscopic Traffic Model based on Driver Reaction and Traffic Stimuli

2019 ◽  
Vol 9 (14) ◽  
pp. 2848 ◽  
Author(s):  
Zawar H. Khan ◽  
Waheed Imran ◽  
Sajid Azeem ◽  
Khurram S. Khattak ◽  
T. Aaron Gulliver ◽  
...  
Keyword(s):  
Traffic Flow ◽  
Flow Model ◽  
Traffic Model ◽  
Traffic Flow Model ◽  
Velocity Constant ◽  
Model Based ◽  
Proposed Model ◽  
Macroscopic Traffic Flow ◽  
Macroscopic Traffic Model ◽  
Traffic Behavior

A new macroscopic traffic flow model is proposed, which considers driver presumption based on driver reaction and traffic stimuli. The Payne–Whitham (PW) model characterizes the traffic flow based on a velocity constant C 0 which results in unrealistic density and velocity behavior. Conversely, the proposed model characterizes traffic behavior with velocities based on the distance headway. The performance of the proposed and PW models is evaluated over a 300 m circular road for an inactive bottleneck. The results obtained show that the traffic behavior with the proposed model is more realistic.

Traffic Overflow Modeling and Numerical Simulation

2012 ◽  
Vol 241-244 ◽  
pp. 2072-2075
Author(s):  
Jing Shan Pan ◽  
Li Dong Zhang
Keyword(s):  
Numerical Simulation ◽  
Traffic Flow ◽  
Queue Length ◽  
Flow Model ◽  
Negative Impact ◽  
Intrinsic Factor ◽  
Time Interval ◽  
Effective Solution ◽  
Traffic Flow Model ◽  
Simulation Results

Traffic overflow has great negative impact on normal traffic flow. Improper time setting and offset, even more right turn input traffic flow can cause this extreme phenomenon. In order to discover the intrinsic factor and relationship between overflow and signal setting, traffic flow incoming, we build the traffic flow model. This model takes two adjacent crosses as example, and to count the remained traffic flow queue length in given time interval. The simulation results prove our model’s feasibility. Our model well helps us to understand the overflow characteristics and to find the effective solution to conquer it in the future.

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