Microscopic theory of traffic-flow instability governing traffic breakdown at highway bottlenecks: Growing wave of increase in speed in synchronized flow

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Boris S Kerner

Abstract

We have revealed a growing local speed wave of increase in speed that can randomly occur in synchronized flow (S) at a highway bottleneck. The development of such a traffic flow instability leads to free flow (F) at the bottleneck; therefore, we call this instability an S→F instability. Whereas the S→F instability leads to a local increase in speed (growing acceleration wave), in contrast, the classical traffic flow instability introduced in the 1950s-1960s and incorporated later in a huge number of traffic flow models leads to a growing wave of a local decrease in speed (growing deceleration wave). We have found that the S→F instability can occur only if there is a finite time delay in driver overacceleration. The initial speed disturbance of increase in speed (called "speed peak") that initiates the S→F instability occurs usually at the downstream front of synchronized flow at the bottleneck. There can be many speed peaks with random amplitudes that occur randomly over time. It has been found that the S→F instability exhibits a nucleation nature: Only when a speed peak amplitude is large enough can the S→F instability occur; in contrast, speed peaks of smaller amplitudes cause dissolving speed waves of a local increase in spe...Continue Reading

References

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Jul 1, 1994·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·B S Kerner, P Konhäuser
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May 15, 2002·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Boris S Kerner
Oct 4, 2003·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Boris S Kerner, Sergey L Klenov
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Feb 21, 2006·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Rui Jiang, Qing-Song Wu
May 23, 2006·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Boris S KernerHubert Rehborn
Aug 7, 2007·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Xin-Gang LiXiao-Mei Zhao
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Apr 7, 2010·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Boris S Kerner, Sergey L Klenov
Dec 21, 2011·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Boris S KernerMichael Schreckenberg
May 17, 2012·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Boris S Kerner
Apr 18, 2014·PloS One·Rui JiangMing Yang
Oct 30, 2014·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Boris S KernerMichael Schreckenberg
Sep 15, 2015·Accident; Analysis and Prevention·Chengcheng XuZhibin Li

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Citations

May 16, 2018·Physical Review. E·Boris S Kerner

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