Full Text:   <3299>

CLC number: U491.112

On-line Access: 

Received: 2003-09-16

Revision Accepted: 2003-11-03

Crosschecked: 0000-00-00

Cited: 1

Clicked: 6754

Citations:  Bibtex RefMan EndNote GB/T7714

-   Go to

Article info.
1. Reference List
Open peer comments

Journal of Zhejiang University SCIENCE A 2004 Vol.5 No.11 P.1398-1404

http://doi.org/10.1631/jzus.2004.1398


Wave propagation of the traffic flow dynamic model based on wavefront expansion


Author(s):  LI Li, SHI Peng-fei

Affiliation(s):  Institute of Image Processing and Pattern Recognition, Shanghai Jiaotong University, Shanghai 200030, China

Corresponding email(s):   joujou@sjtu.edu.cn

Key Words:  Perturbations, Macroscopic traffic flow model, Wavefront expansion


Share this article to: More

LI Li, SHI Peng-fei. Wave propagation of the traffic flow dynamic model based on wavefront expansion[J]. Journal of Zhejiang University Science A, 2004, 5(11): 1398-1404.

@article{title="Wave propagation of the traffic flow dynamic model based on wavefront expansion",
author="LI Li, SHI Peng-fei",
journal="Journal of Zhejiang University Science A",
volume="5",
number="11",
pages="1398-1404",
year="2004",
publisher="Zhejiang University Press & Springer",
doi="10.1631/jzus.2004.1398"
}

%0 Journal Article
%T Wave propagation of the traffic flow dynamic model based on wavefront expansion
%A LI Li
%A SHI Peng-fei
%J Journal of Zhejiang University SCIENCE A
%V 5
%N 11
%P 1398-1404
%@ 1869-1951
%D 2004
%I Zhejiang University Press & Springer
%DOI 10.1631/jzus.2004.1398

TY - JOUR
T1 - Wave propagation of the traffic flow dynamic model based on wavefront expansion
A1 - LI Li
A1 - SHI Peng-fei
J0 - Journal of Zhejiang University Science A
VL - 5
IS - 11
SP - 1398
EP - 1404
%@ 1869-1951
Y1 - 2004
PB - Zhejiang University Press & Springer
ER -
DOI - 10.1631/jzus.2004.1398


Abstract: 
This paper discusses propagation of perturbations along traffic flow modeled by a modified second-order macroscopic model through the wavefront expansion technique. The coefficients in this expansion satisfy a sequence of transport equations that can be solved analytically. One of these analytic solutions yields information about wavefront shock. Numerical simulations based on a Padé approximation of this expansion were done at the end of this paper and results showed that propagation of perturbations at traffic flow speed conforms to the theoretical analysis results.

Darkslateblue:Affiliate; Royal Blue:Author; Turquoise:Article

Reference

[1] Daganzo, C., 1995. Requiem for second-order approximations of traffic flow. Transportation Research-B, 29(4):277-286.

[2] Gazis, D.C. (Eds.), 1974. Traffic Science. John Wiley and Sons, p.43.

[3] Jiang, R., Wu, Q.S., 2003. Study on propagation speed of small disturbance from a car-following approach. Transportation Research-B, 37:85-99.

[4] Lighthill, M.J., Whitham, G.B., 1955. On kinematic waves II: A theory of traffic flow on long crowded roads. Proc. Royal Soc., A229:317-345.

[5] Lyrintzis, A.S., Liu, G., Michalopoulos, P.G., 1994. Development and comparative evaluation of high-order traffic flow models. Trans. Res. Rec., 1457:174-183.

[6] Moodie, T.B., He, Y.P., Barclay, D.W., 1991. Wavefront expansions and nonlinear hyperbolic waves. Wave Motion, 14:347-367.

[7] Papageorgious, M., Jean-Marc, B., Habib, H.S., 1990a. Modelling and real-time control of traffic flow on the southern part of Boulevard Peripherique in Paris: Part I: modelling. Transportation Research-A, 24(5):345-359.

[8] Papageorgious, M., Jean-Marc, B., Habib, H.S., 1990b. Modelling and real-time control of traffic flow on the southern part of Boulevard Peripherique in Paris: Part II: coordinated on-ramp metering. Transportation Research-A, 24(5):361-370.

[9] Payne, H.J., 1971. Models of freeway traffic and control. Simulation Councils Proc. Series: Mathematical Model of Public Systems, 1(1):51-60.

[10] Richards, P.I., 1956. Shockwaves on the highway. Operations Research, 4:42-51.

[11] Treiber, M., Hennecke, A., Helbing, D., 1999. Derivation, properties and simulation of a gas-kinetic-based, nonlocal traffic model. Physical Review E, 59(1):239-253.

[12] Whitham, G.B., 1974. Linear and Nonlinear Waves. John Wiley and Sons Inc., New York.

[13] Zhang, H.M., 1998. A theory of nonequilibrium traffic flow. Transportation Research-B, 32(7):485-498.

[14] Zhang, H.M., 2000. Structural properties of solutions arising from a nonequilibrium traffic flow theory. Transportation Research-B, 34:583-603.

[15] Zhang, H.M., 2002. A nonequilibrium traffic model devoid of gas-like behavior. Transportation Research-B, 36:275-290.

Open peer comments: Debate/Discuss/Question/Opinion

<1>

ali@aliedani<17525014@students.latrobe.edu.au>

2015-02-25 12:26:54

dynamic wireless propagation in vehicle ad-hoc network

Please provide your name, email address and a comment





Journal of Zhejiang University-SCIENCE, 38 Zheda Road, Hangzhou 310027, China
Tel: +86-571-87952783; E-mail: cjzhang@zju.edu.cn
Copyright © 2000 - 2024 Journal of Zhejiang University-SCIENCE