Department of Mathematics
Mathematics Colloquium - Fall 2011
Wednesday, December 7th, 2011
2:00pm - 3:00pm, in Science 2-064 Paul OssenbruggenUMass BostonUnderstanding Traffic Congestion: Investigating It as an Extreme Event
Abstract:
Traffic flow data is difficult to model due to
inherentlynoisy nature, changing volatility, high temporal dependence,
andshifts, often sudden, between congested and free flow states. In
spiteof this, accurate measures of flow are critical for roadway
design anddeveloping useful capacity estimates. In this presentation
we explorethe use of extreme value theory and functional data analysis
asapplied to traffic data, and the appropriateness of this
approach.Specifically, we perform a peaks over threshold (POT)
technique andfit a generalized Pareto distribution to the associated
clustermaxima. Results from this methodology allow for parametric
inferenceand capacity identification using functional data analysis.
Theseresults may prove useful in explaining the "duality effect" --
thephenomenon that at or near capacity of a roadway may or may
nottrigger congestion. Evidence will be presented to justify the use
ofthis approach to traffic flows, and areas of ongoing research will
beidentified. Comments and criticism are encouraged. Presented jointly with Eric Laflamme (University of New Hampshire)
|
![]() |