The Oliver Club - Cornell Universitypi.math.cornell.edu/~oliver/2014/seibold_nov20.pdf · The...

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The Oliver Club Thursday, November 20, 2014 at 4:00 PM in 532 Malott Hall www.math.cornell.edu/~oliver/ Refreshments will be served at 3:30 PM in the Mathematics Department lounge (532 Malott Hall). Benjamin Seibold, Temple University Traffic Models, Phantom Jams, and Autonomous Vehicles Traffic Models, Phantom Jams, and Autonomous Vehicles Initially homogeneous vehicular traffic flow can become inhomogeneous even in the absence of obstacles. We demonstrate how this “phantom jam” phenomenon can be described via traffic models: small perturbations grow into nonlinear traveling waves. These turn out to be analogs of detonation waves in reacting gas dynamics, thus creating a link between traffic flow, combustion, and water roll waves. An outlook is given on the fidelity of data-fitted traffic models, and how these models can provide strategies to control autonomous vehicles so that the fuel consumption of the overall traffic flow is reduced.

Transcript of The Oliver Club - Cornell Universitypi.math.cornell.edu/~oliver/2014/seibold_nov20.pdf · The...

Page 1: The Oliver Club - Cornell Universitypi.math.cornell.edu/~oliver/2014/seibold_nov20.pdf · The Oliver Club Thursday, November 20, 2014 at 4:00 PM in 532 Malott Hall oliver/ Refreshments

The Oliver Club

Thursday, November 20, 2014at 4:00 PM in 532 Malott Hall

www.math.corne l l . edu/~ol iver/

Refreshments will be served at 3:30 PM in the Mathematics Department lounge (532 Malott Hall).

Benjamin Seibold, Temple University

Traffic Models, Phantom Jams, and AutonomousVehiclesTraffic Models, Phantom Jams, and AutonomousVehicles

Initially homogeneous vehicular traffic

flow can become inhomogeneous

even in the absence of obstacles.

We demonstrate how this “phantom

jam” phenomenon can be described

via traffic models: small perturbations

grow into nonlinear traveling waves.

These turn out to be analogs of

detonation waves in reacting gas

dynamics, thus creating a link

between traffic flow, combustion, and water roll waves. An outlook is given on the

fidelity of data-fitted traffic models, and how these models can provide strategies to

control autonomous vehicles so that the fuel consumption of the overall traffic flow is

reduced.