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math.AP2019★ 54 cited
On Traffic Flow with Nonlocal Flux: a Relaxation Representation
Alberto Bressan, Wen Shen
We consider a conservation law model of traffic flow, where the velocity of each car depends on a weighted average of the traffic density ahead. The averaging kernel is of expo…
math.AP2019
Globally Optimal Departure Rates for Several Groups of Drivers
Alberto Bressan, Yucong Huang
The first part of this paper contains a brief introduction to conservation law models of traffic flow on a network of roads. Globally optimal solutions and Nash equilibrium solutio…