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Some observed details of freeway traffic evolution
Authors:John R Windover  Michael J Cassidy  
Institution:1. Department of Mathematics and Physics, Technical University of Sofia, Sliven, 8800, Bulgaria;2. Department of Computer Systems and Technologies, “Prof. Dr. Assen Zlatarov” University, Burgas, 8010, Bulgaria;3. Department of Mathematics, University of Texas at San Antonio, San Antonio, TX 78249, USA
Abstract:Certain details of traffic evolution were studied along a 2 km, homogenous freeway segment located upstream of a bottleneck. By comparing (transformed) cumulative curves constructed from the vehicle counts measured at neighboring loop detectors, it was found that waves propagated through queued traffic like a random walk with predictable statistical variation. There was no observed dependency of wave speed on flow. As such, these waves neither focused nor fanned outward and shocks arose only at the interfaces between free-flowing traffic and the back of queues. Although these traffic features may have long been suspected, actual observations of this kind have hitherto not been documented. Also of note, the shocks separating queued and unqueued traffic sometimes exhibited unexpectedly long transitions between these two states. Finally, some observations presented here corroborate earlier reports that, in unqueued traffic, vehicle velocity is insensitive to flows and that forward-moving changes in traffic states therefore travel with vehicles. Taken together, these findings suggest that certain rather simple models suffice for describing traffic on homogeneous freeway segments; brief discussion of this is offered in Section 5.
Keywords:Freeway traffic evolution  Traffic waves and shocks
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