STRUCTURAL PROPERTIES OF HELBING'S TRAFFIC FLOW MODEL
The structural properties of the shock- and rarefaction-wave solutions of a macroscopic, second-order nonlocal continuum traffic flow model, namely, Helbing's model, are analyzed. It is shown that this model has two families of characteristics for the shock-wave solutions: one characteristic is slower and the other one is faster than the average vehicle speed. Corresponding to the slower characteristic are one-shock and one-rarefaction waves, the behavior of which is similar to that of shock and rarefaction waves in the first-order Lighthill-Whitham-Richards model. Corresponding to the faster characteristic are two-shock and two-rarefaction waves, which behave differently from the previous type in the sense that the information in principle travels faster than average vehicle speed, but in Helbing's model this inconsistency is solved by the addition of a nonlocal term. For the Helbing model the shocks do not produce negative states as other second-order models do. The formulas for the solution of the Riemann problem associated with this model in the equilibrium case are also derived.
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Supplemental Notes:
- This paper appears in Transportation Research Record No. 1883, Traffic Flow Theory and Highway Capacity and Quality of Service 2004.
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Corporate Authors:
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Authors:
- Necoara, I
- De Schutter, Bart
- Hellendoorn, J
- Publication Date: 2004
Language
- English
Media Info
- Features: Figures; References;
- Pagination: p. 21-30
- Monograph Title: TRAFFIC FLOW THEORY AND HIGHWAY CAPACITY AND QUALITY OF SERVICE 2004
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Serial:
- Transportation Research Record
- Issue Number: 1883
- Publisher: Transportation Research Board
- ISSN: 0361-1981
Subject/Index Terms
- TRT Terms: Shock waves; Traffic flow; Traffic models
- Uncontrolled Terms: Rarefaction waves
- Subject Areas: Highways; Operations and Traffic Management; I71: Traffic Theory;
Filing Info
- Accession Number: 00983355
- Record Type: Publication
- ISBN: 030909478X
- Files: TRIS, TRB, ATRI
- Created Date: Dec 20 2004 12:00AM