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A Network Design Model Under Uncertainty

In: Contributions in Mathematics and Engineering

Author

Listed:
  • E. D’Amato

    (Seconda Università degli Studi di Napoli, Dipartimento di Ingegneria Industriale e dell’Informazione)

  • E. Daniele

    (Fraunhofer Institut für Windenergie und Energiesystemtechnik - IWES)

  • L. Mallozzi

    (Università degli Studi di Napoli “Federico II”, Departments of Mathematics and Applications “R. Caccioppoli”)

Abstract

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.

Suggested Citation

  • E. D’Amato & E. Daniele & L. Mallozzi, 2016. "A Network Design Model Under Uncertainty," Springer Books, in: Panos M. Pardalos & Themistocles M. Rassias (ed.), Contributions in Mathematics and Engineering, pages 81-93, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-31317-7_5
    DOI: 10.1007/978-3-319-31317-7_5
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