The Entropy Solutions for the Lighthill-Whitham-Richards Traffic Flow Model with a Discontinuous Flow-Density Relationship

2007 ◽  
Author(s):  
Yadong Lu ◽  
S. C. Wong ◽  
Mengping Zhang ◽  
Chi-Wang Shu
Keyword(s):  
Traffic Flow ◽  
Flow Model ◽  
Entropy Solutions ◽  
Flow Density ◽  
Traffic Flow Model ◽  
Discontinuous Flow ◽  
Density Relationship

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

Design and Implementation of Control-Theory-Based Microscopic Traffic Flow Model

2002 ◽  
Vol 1802 (1) ◽  
pp. 214-224
Author(s):  
Huajing Shi ◽  
Athanasios K. Ziliaskopoulos
Keyword(s):  
Control Theory ◽  
Traffic Flow ◽  
Flow Model ◽  
Constant Time ◽  
Flow Density ◽  
Traffic Flow Model ◽  
Time Headway ◽  
Proposed Model ◽  
Vehicle Acceleration ◽  
The Stability

A microscopic traffic flow model based on the constant-time-headway policy and McRuer’s man-machine crossover model was designed. Automatic control theory concepts were employed in the model formulation. The constant-time-headway policy was used to generate the command model of a human driver’s decision for vehicle acceleration or deceleration. This command is the input signal fed into the driver-vehicle dynamics suggested by the crossover model. The proposed model was mathematically formulated, designed, implemented, and numerically simulated. The stability properties and validity of the proposed model were analyzed on the basis of the simulation results. It was demonstrated that the proposed model can reproduce well-known traffic phenomena such as shock waves, intersection starting and stopping waves, and loop structures of flow-density and speed-density plots.

scholarly journals A Cellular Automata Traffic Flow Model considering Bus Lane Changing Behavior with Scheduling Parameters

2015 ◽  
Vol 2015 ◽  
pp. 1-7 ◽  
Author(s):  
Zun-dong Zhang ◽  
Yan-fang Yang ◽  
Wenjiao Qi ◽  
Abderrahim Chariete ◽  
Xing-xiang Lin
Keyword(s):  
Cellular Automata ◽  
Traffic Flow ◽  
Flow Model ◽  
Flow Density ◽  
Mixed Traffic ◽  
Lane Changing ◽  
Traffic Flow Model ◽  
Mixed Traffic Flow ◽  
Bus Lane ◽  
Bus Stops

According to different driving behavioral characteristics of bus drivers, a cellular automata traffic model considering the bus lane changing behavior with scheduling parameters is proposed in this paper. Traffic bottleneck problems caused by bus stops are simulated in multiple lanes roads with no-bay bus stations. With the mixed traffic flow composed of different bus arrival rate, flow-density graph, density distribution graph, and temporal-spatial graph are presented. Furthermore, the mixed traffic flow characteristics are analyzed. Numerical experiment results show that the proposed model can generate a variety of complicated realistic phenomena in the traffic system with bus stops and provide theoretical basis for better using of traffic flow model.

scholarly journals KELIŲ TRANSPORTO SRAUTŲ MODELIO TYRIMAS, TAIKANT DISKRETINĮ TRANSPORTO SRAUTŲ METODĄ / ROAD TRAFFIC FLOW MODEL INVESTIGATION BY USING DISCRETE TRAFFIC FLOW METHOD

2018 ◽  
Vol 10 (0) ◽  
pp. 1-5
Author(s):  
Algimantas Danilevičius ◽  
Marijonas Bogdevičius
Keyword(s):  
Traffic Flow ◽  
Flow Model ◽  
Road Traffic ◽  
Traffic Signals ◽  
Flow Density ◽  
Traffic Flows ◽  
Traffic Flow Model ◽  
Velocity Flow ◽  
Theoretical Investigations ◽  
Discrete Mathematical Model

The traffic flows are influenced by various factors. In order to determine the characteristics of traffic flows in response to changing conditions, comprehensive research that is based on the best possible methods for simulating different street situations is necessary. The article determines the influence on transport flows due to changed conditions at the end of the simulated street. It presents the dynamic of the main parameters of the traffic flow (velocity, flow and density) depending on the time of changing traffic signals and the changed traffic flow density at the last simulated street point. The results are based on a discrete, mathematical model of traffic flows. The conditions determined by theoretical investigations determine the negative changes in the dynamics of traffic flows on a simulated street. Santrauka Transporto priemonių srautams turi įtakos įvairūs veiksniai. Norint nustatyti transporto srautų savybes priklausomai nuo pakitusių sąlygų reikalingi išsamūs tyrimai, grindžiami kuo tikslesniais metodais imituojant įvairių situacijų gatvėse modelius. Straipsnyje nustatoma įtaka transporto srautams dėl pakitusių sąlygų modeliuojamos gatvės pabaigoje. Pateikiama transporto srautų pagrindinių parametrų (greičio, eismo intensyvumo ir koncentracijos) dinamika priklausomai nuo šviesoforų signalų perjungimo laiko ir pakitusios transporto srauto koncentracijos paskutiniame modeliuojamos gatvės taške. Rezultatams gauti taikomas diskretinis transporto srautų matematinis modelis. Teoriniais tyrimais nustatytos sąlygos, lemiančios neigiamus pokyčius transporto srautų dinamikai modeliuojamame kelyje.

scholarly journals Difference schemes, entropy solutions, and speedup impulse for an inhomogeneous kinematic traffic flow model

2008 ◽  
Vol 3 (1) ◽  
pp. 1-41 ◽  
Author(s):  
Raimund Bürger ◽  
◽  
Antonio García ◽  
Kenneth H. Karlsen ◽  
John D. Towers ◽  
...  
Keyword(s):  
Traffic Flow ◽  
Flow Model ◽  
Difference Schemes ◽  
Entropy Solutions ◽  
Traffic Flow Model
Sign in / Sign up

Export Citation Format

Share Document