Optimal regions for congested transport

Abstract : We consider a given region Ω where the traffic flows according to two regimes: in a region C we have a low congestion, where in the remaining part Ω∖C the congestion is higher. The two congestion functions H1 and H2 are given, but the region C has to be determined in an optimal way in order to minimize the total transportation cost. Various penalization terms on C are considered and some numerical computations are shown.
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Contributor : Jean-David Benamou <>
Submitted on : Monday, February 2, 2015 - 2:40:34 PM
Last modification on : Tuesday, February 26, 2019 - 10:55:13 AM

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  • HAL Id : hal-01112233, version 1
  • ARXIV : 1404.0790



Guillaume Carlier, Giuseppe Buttazzo, Serena Guarino Lo Bianco. Optimal regions for congested transport. 2015. ⟨hal-01112233⟩



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