Optimal regions for congested transport
Buttazzo, Giuseppe; Carlier, Guillaume; Guarino lo Bianco, Serena (2015), Optimal regions for congested transport, Modélisation mathématique et analyse numérique, 49, 6, p. 1607-1619. 10.1051/m2an/2015022
TypeArticle accepté pour publication ou publié
Journal nameModélisation mathématique et analyse numérique
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Abstract (EN)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.
Subjects / Keywordsoptimal networks; congestion effects; Shape optimization; transport problems
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