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Linking Synchronized Flow and Kinematic Waves

In: Traffic and Granular Flow’05

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  • Jorge A. Laval

    (Laboratoire Ingénierie Circulation Transport LICIT (INRETS/ENTPE))

Abstract

Summary This paper shows that including the effects of lane-changing activity in kinematic wave theory reveals the physical mechanisms and reproduces the main empirical features that motivated Kerner’s three-phase theory. This is shown using a hybrid representation of traffic flow where lane-changing vehicles are treated as discrete particles with realistic accelerations embedded in a continuous multilane kinematic wave stream. We show that this parsimonious four-parameter model reproduces the three phases identified by Kerner, including phase transitions and jam formation. We conclude that synchronized flow and wide-moving jams differ only in their lane-changing spatiotemporal patterns, but obey the same conservation laws and boundary conditions. Freeway segments with one, two and three junctions are analyzed.

Suggested Citation

  • Jorge A. Laval, 2007. "Linking Synchronized Flow and Kinematic Waves," Springer Books, in: Andreas Schadschneider & Thorsten Pöschel & Reinhart Kühne & Michael Schreckenberg & Dietrich E. Wol (ed.), Traffic and Granular Flow’05, pages 521-526, Springer.
    • Handle: RePEc:spr:sprchp:978-3-540-47641-2_49
    DOI: 10.1007/978-3-540-47641-2_49
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