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math.OC2016
On the continuity of the total cost in the mass transport problem with relativistic cost functions
Jean Louet, Aldo Pratelli, Florian Zeisler
In this paper we consider the mass transport problem in the case of a relativistic cost; we can establish the continuity of the total cost, together with a general estimate about t…
math.OC2008
Optimum and equilibrium in a transport problem with queue effects
Gianluca Crippa, Chloé Jimenez, Aldo Pratelli
Consider a distribution of citizens in an urban area in which some services (supermarkets, post offices...) are present. Each citizen, in order to use a service, spends an amount o…