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Research Projects
Scale-Dependent Observability of Emergent Dynamics: Application to Traffic Flow with Connected Vehicles
A single traffic flow model for 'any' spatiotemporal scale
Sponsor: National Science Foundation
Senior Investigator: Kshitij Jerath
Junior Investigator: Zhaohui (Brandon) Yang
Traffic flow modeling is typically performed at distinct scales: microscopic (that models individual vehicles), mesoscopic (that models clusters of vehicles) and macroscopic (that models traffic as a fluid flow). Creating a single modeling framework for traffic flow can not only simplify analysis and reduce computational effort, but it could also provide an opportunity to select the modeling scale that best fits a desired goal, such as prediction of congestion, platooning of connected autonomous vehicles or determining fuel efficient driving behaviors.
Our physics-inspired work borrows from the field of statistical mechanics and **renormalization group theory**. We have shown that using just two vehicle-interaction and traffic flow parameters, we can perform systematic transformation from one scale to another while maintaining fidelity across multiple (but not arbitrarily large) spatial and time scales.
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