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A network design model under uncertainty

: D'Amato, Egidio; Daniele, Elia; Mallozzi, Lina


Pardalos, P.M.:
Contributions in mathematics and engineering : In honor of Constantin Carathéodory
Cham: Springer International Publishing, 2016
ISBN: 978-3-319-31315-3 (Print)
ISBN: 978-3-319-31317-7 (Online)
Book Article
Fraunhofer IWES ()

In this paper we present a cooperative game theoretical model for the well-known problem of network design. There is a multi-commodity network flow problem for each subset of players, who optimize the design of the network. Each player receives a return for shipping his commodity, and we consider the possibility to have uncertainty in this return. A cooperative game under interval uncertainty is presented for the model, and the existence of core solutions and approximate core solutions is investigated.