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- W3103756719 abstract "We consider a class of optimal control problems for measure-valued nonlinear transport equations describing traffic flow problems on networks. The objective isto minimise/maximise macroscopic quantities, such as traffic volume or average speed,controlling few agents, for example smart traffic lights and automated cars. The measuretheoretic approach allows to study in a same setting local and nonlocal drivers interactionsand to consider the control variables as additional measures interacting with the driversdistribution. We also propose a gradient descent adjoint-based optimization method, ob-tained by deriving first-order optimality conditions for the control problem, and we providesome numerical experiments in the case of smart traffic lights for a 2-1 junction." @default.
- W3103756719 created "2020-11-23" @default.
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- W3103756719 date "2018-10-16" @default.
- W3103756719 modified "2023-09-27" @default.
- W3103756719 title "A measure theoretic approach to traffic flow optimisation on networks" @default.
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- W3103756719 doi "https://doi.org/10.1017/s0956792518000621" @default.
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