Characterization of Traffic Oscillation Propagation under Nonlinear Car-Following Laws
Unlike linear car-following models, nonlinear models generally can generate more realistic traffic oscillation phenomenon, but nonlinearity makes analytical quantification of oscillation characteristics (e.g, periodicity and amplitude) significantly more difficult. This paper proposes a novel mathematical framework that accurately quantifies oscillation characteristics for a general class of nonlinear car-following laws. This framework builds on the describing function technique from nonlinear control theory and is comprised of three modules: expression of car-following models in terms of oscillation components, analyses of local and asymptotic stabilities, and quantification of oscillation propagation characteristics. Numerical experiments with a range of well-known nonlinear car-following laws show that the proposed approach is capable of accurately predicting oscillation characteristics under realistic physical constraints and complex driving behaviors. This framework not only helps further understand the root causes of the traffic oscillation phenomenon but also paves a solid foundation for the design and calibration of realistic nonlinear car-following models that can reproduce empirical oscillation characteristics
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Availability:
- Find a library where document is available. Order URL: http://worldcat.org/issn/18770428
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Supplemental Notes:
- Abstract reprinted with permission from Elsevier.
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Authors:
- Li, Xiaopeng
- Ouyang, Yanfeng
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Conference:
- 19th International Symposium on Transportation and Traffic Theory
- Location: Berkeley CA, United States
- Date: 2011-7-18 to 2011-7-20
- Publication Date: 2011
Language
- English
Media Info
- Media Type: Web
- Features: Appendices; Figures; References;
- Pagination: pp 678-697
- Monograph Title: International Symposium on Transportation and Traffic Theory, 19th
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Serial:
- Procedia - Social and Behavioral Sciences
- Volume: 17
- Publisher: Elsevier
- ISSN: 1877-0428
- Serial URL: http://www.sciencedirect.com/science/journal/18770428/53
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Publication flags:
Open Access (libre)
Subject/Index Terms
- TRT Terms: Calibration; Car following; Empirical methods; Highway traffic control; Nonlinear systems; Numerical analysis; Traffic flow; Traffic models; Transportation planning; Vehicle spacing
- Uncontrolled Terms: Traffic oscillations
- Subject Areas: Highways; Planning and Forecasting; I72: Traffic and Transport Planning;
Filing Info
- Accession Number: 01345395
- Record Type: Publication
- Files: TRIS
- Created Date: Jul 21 2011 10:08AM