The TDGL equation for car-following model with consideration of the traffic interruption probability

Hong-Xia Ge; Yi-Qiang Zhang; Hua Kuang; Siu-Ming Lo

doi:10.1142/S0129183112500532

The TDGL equation for car-following model with consideration of the traffic interruption probability

Hong-Xia Ge, Yi-Qiang Zhang, Hua Kuang, Siu-Ming Lo

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

4 Citations (Scopus)

Abstract

A car-following model which involves the effects of traffic interruption probability is further investigated. The stability condition of the model is obtained through the linear stability analysis. The reductive perturbation method is taken to derive the time-dependent GinzburgLandau (TDGL) equation to describe the traffic flow near the critical point. Moreover, the coexisting curve and the spinodal line are obtained by the first and second derivatives of the thermodynamic potential, respectively. The analytical results show that considering the interruption effects could further stabilize traffic flow. © 2012 World Scientific Publishing Company.

Original language	English
Article number	1250053
Journal	International Journal of Modern Physics C
Volume	23
Issue number	7
DOIs	https://doi.org/10.1142/S0129183112500532
Publication status	Published - Jul 2012

Research Keywords

car-following model
TDGL equation
Traffic flow

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title = "The TDGL equation for car-following model with consideration of the traffic interruption probability",

abstract = "A car-following model which involves the effects of traffic interruption probability is further investigated. The stability condition of the model is obtained through the linear stability analysis. The reductive perturbation method is taken to derive the time-dependent GinzburgLandau (TDGL) equation to describe the traffic flow near the critical point. Moreover, the coexisting curve and the spinodal line are obtained by the first and second derivatives of the thermodynamic potential, respectively. The analytical results show that considering the interruption effects could further stabilize traffic flow. {\textcopyright} 2012 World Scientific Publishing Company.",

keywords = "car-following model, TDGL equation, Traffic flow",

author = "Hong-Xia Ge and Yi-Qiang Zhang and Hua Kuang and Siu-Ming Lo",

year = "2012",

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language = "English",

volume = "23",

journal = "International Journal of Modern Physics C",

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TY - JOUR

T1 - The TDGL equation for car-following model with consideration of the traffic interruption probability

AU - Ge, Hong-Xia

AU - Zhang, Yi-Qiang

AU - Kuang, Hua

AU - Lo, Siu-Ming

PY - 2012/7

Y1 - 2012/7

N2 - A car-following model which involves the effects of traffic interruption probability is further investigated. The stability condition of the model is obtained through the linear stability analysis. The reductive perturbation method is taken to derive the time-dependent GinzburgLandau (TDGL) equation to describe the traffic flow near the critical point. Moreover, the coexisting curve and the spinodal line are obtained by the first and second derivatives of the thermodynamic potential, respectively. The analytical results show that considering the interruption effects could further stabilize traffic flow. © 2012 World Scientific Publishing Company.

AB - A car-following model which involves the effects of traffic interruption probability is further investigated. The stability condition of the model is obtained through the linear stability analysis. The reductive perturbation method is taken to derive the time-dependent GinzburgLandau (TDGL) equation to describe the traffic flow near the critical point. Moreover, the coexisting curve and the spinodal line are obtained by the first and second derivatives of the thermodynamic potential, respectively. The analytical results show that considering the interruption effects could further stabilize traffic flow. © 2012 World Scientific Publishing Company.

KW - car-following model

KW - TDGL equation

KW - Traffic flow

UR - http://www.scopus.com/inward/record.url?scp=84864546075&partnerID=8YFLogxK

UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-84864546075&origin=recordpage

U2 - 10.1142/S0129183112500532

DO - 10.1142/S0129183112500532

M3 - RGC 21 - Publication in refereed journal

SN - 0129-1831

VL - 23

JO - International Journal of Modern Physics C

JF - International Journal of Modern Physics C

IS - 7

M1 - 1250053

ER -

The TDGL equation for car-following model with consideration of the traffic interruption probability

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