First order multi-lane traffic flow model – an incentive based macroscopic model to represent lane change dynamics

A new first-order traffic flow model is introduced that takes into account the fact that various types of vehicles use the roads simultaneously, particularly cars and trucks. The main improvement this model has to offer is that vehicles are differentiated not only by their lengths but also by their speeds in a free-flow regime. Indeed, trucks on European roads are characterized by a lower speed than that of cars. A system of hyperbolic conservation equations is defined. In this system the flux function giving the flow of heavy and light vehicles depends on total and partial densities. This problem is partly solved in the Riemann case in order to establish a Godunov discretization. Some model output is shown stressing that speed differences between the two types of vehicles and congestion propagation are sufficiently reproduced. The limits of the proposed model are highlighted, and potential avenues of research in this domain are suggested.

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On the first-order phase transition in a cellular automaton traffic flow model without a slow-to-start effect

Journal of Statistical Mechanics Theory and Experiment ◽

10.1088/1742-5468/2010/03/p03018 ◽

2010 ◽

Vol 2010 (03) ◽

pp. P03018 ◽

Cited By ~ 15

Author(s):

Cheng-Jie Jin ◽

Wei Wang ◽

Rui Jiang ◽

Kun Gao

Keyword(s):

Phase Transition ◽

Cellular Automaton ◽

Traffic Flow ◽

Order Phase Transition ◽

Flow Model ◽

Traffic Flow Model ◽

First Order ◽

First Order Phase Transition ◽

First Order Phase

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Multi-lane Traffic Flow Model: Speed Versus Density Difference as Lane Change Incentive and Effect of Lateral Flow Transfer on Traffic Flow Variables

Springer Proceedings in Physics - Traffic and Granular Flow 2019 ◽

10.1007/978-3-030-55973-1_67 ◽

2020 ◽

pp. 547-553

Author(s):

Hari Hara Sharan Nagalur Subraveti ◽

Victor L. Knoop ◽

Bart van Arem

Keyword(s):

Traffic Flow ◽

Flow Model ◽

Lateral Flow ◽

Density Difference ◽

Lane Change ◽

Traffic Flow Model ◽

Flow Variables ◽

Flow Transfer

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A finite difference scheme for a fluid dynamic traffic flow model appended with two-point boundary condition

GANIT Journal of Bangladesh Mathematical Society ◽

10.3329/ganit.v31i0.10307 ◽

2012 ◽

Vol 31 ◽

pp. 43-52 ◽

Cited By ~ 2

Author(s):

MO Gani ◽

MM Hossain ◽

LS Andallah

Keyword(s):

Boundary Condition ◽

Finite Difference ◽

Difference Scheme ◽

Traffic Flow ◽

Finite Difference Scheme ◽

Flow Model ◽

Fluid Dynamic ◽

Point Boundary ◽

Traffic Flow Model ◽

First Order

A fluid dynamic traffic flow model with a linear velocity-density closure relation is considered. The model reads as a quasi-linear first order hyperbolic partial differential equation (PDE) and in order to incorporate initial and boundary data the PDE is treated as an initial boundary value problem (IBVP). The derivation of a first order explicit finite difference scheme of the IBVP for two-point boundary condition is presented which is analogous to the well known Lax-Friedrichs scheme. The Lax-Friedrichs scheme for our model is not straight-forward to implement and one needs to employ a simultaneous physical constraint and stability condition. Therefore, a mathematical analysis is presented in order to establish the physical constraint and stability condition of the scheme. The finite difference scheme is implemented and the graphical presentation of numerical features of error estimation and rate of convergence is produced. Numerical simulation results verify some well understood qualitative behavior of traffic flow.DOI: http://dx.doi.org/10.3329/ganit.v31i0.10307GANIT J. Bangladesh Math. Soc. (ISSN 1606-3694) 31 (2011) 43-52

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Dynamic congested traffic states of lattice hydrodynamic model with an on-ramp and its immediate upstream off-ramp

International Journal of Modern Physics B ◽

10.1142/s0217979218503253 ◽

2018 ◽

Vol 32 (29) ◽

pp. 1850325 ◽

Cited By ~ 1

Author(s):

Tao Wang ◽

Jing Zhang ◽

Shubin Li ◽

Haoming Du ◽

Ge Gao

Keyword(s):

Traffic Flow ◽

Flow Model ◽

Lane Change ◽

Lattice Hydrodynamic Model ◽

Traffic Patterns ◽

Traffic Flow Model ◽

Congested Traffic ◽

Stop And Go ◽

Proposed Model ◽

Simulation Results

This paper investigates the features of congested traffic flow near the combination of off-ramp and on-ramp. Firstly, the stochastic off-ramp and on-ramp are designed. Then, a two-lane lattice hydrodynamic traffic flow model coupled with a combination bottleneck is proposed to reproduce the empirical phenomena. In the simulation, the asymmetric-lane change rules were adopted, and many congested traffic flow patterns were observed near the combination bottlenecks, such as homogeneous synchronized traffic (HST), moving localized cluster (MLC), triggered stop-and-go traffic (TSG), oscillating congested traffic (OCT), pinned localized cluster (PLC), and homogeneous congested traffic (HCT). The obtained simulation results suggest that the proposed model is good and can produce the observed congestion spatiotemporal traffic patterns well.

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