Geodesic
On Optimization of Traffic Flow Performance for Conservation Laws on Networks
Minimax theory and its applications, Tome 6 (2021) no. 2
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We investigate several optimization problems related to different traffic performance indexes considered in the literature: to diminuish mean travel time or queue lengths, to minimise stop-and-go waves, or to get a fuel consumption reduction. We analyze these problems within the general control setup for conservation law models on networks recently proposed by the authors [On theoptimization of conservation law models at a junction with inflow and flow distribution controls, SIAM J. Control Optimization 56 (2018) 3370–3403]. The existence of optimal solutions for the above mentioned problems is obtained in the context of distribution and inflow controls acting at a single junction. A variational formulation of such optimization problems is also provided and some numerical simulations of optimal solutions are discussed.
Mots-clés : Conservation laws, traffic models, networks, weak solutions 
@article{MTA_2021_6_2_a2,
     author = {Fabio Ancona,Annalisa Cesaroni,Giuseppe Maria Coclite,Mauro Garavello},
     title = {On {Optimization} of {Traffic} {Flow} {Performance} for {Conservation} {Laws} on {Networks}},
     journal = {Minimax theory and its applications},
     year = {2021},
     volume = {6},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/MTA_2021_6_2_a2/}
}
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Fabio Ancona,Annalisa Cesaroni,Giuseppe Maria Coclite,Mauro Garavello. On Optimization of Traffic Flow Performance for Conservation Laws on Networks. Minimax theory and its applications, Tome 6 (2021) no. 2. http://geodesic.mathdoc.fr/item/MTA_2021_6_2_a2/