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A Recurrent Neural Network for Airport Scales Location

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Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 3040))

Abstract

The p-hub problem is a facility location problem that can be viewed as a type of airline network design problem. Given a finite set of nodes, each node (city) sends and receives some type of traffic (airline passengers) to and from other nodes (cities). The hub (airport) locations must be chosen from among these nodes to act as switching points. In this paper we consider the uncapacitated p-hub median problem with single allocation, where each non-hub node (origin and destination) must be allocated to exactly one of the p-hubs. We provide a reduced size formulation and a competitive recurrent neural model for this problem. The architecture of the proposed neural network consists of two layers (allocation layer and location layer) of np binary neurons, where n is the number of nodes and p is the number of hubs. The effectiveness and efficiency of the proposed recurrent neural network under varying problem sizes are analyzed. Computational experience with another neural networks and heuristics is provided using data given in the literature.

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References

  1. Aykin, T.: The hub location and routing problem. European Journal of Operational Research (83), 200–219 (1995)

    Google Scholar 

  2. Campbell, J.F.: Integer programming formulations of discrete hub location problems. European Journal of Operational Research (72), 387–405 (1994)

    Google Scholar 

  3. Domínguez, E., Muñoz, J.: An efficient neural network for the p-median problem. In: Garijo, F.J., Riquelme, J.-C., Toro, M. (eds.) IBERAMIA 2002. LNCS (LNAI), vol. 2527, pp. 460–469. Springer, Heidelberg (2002)

    Chapter  Google Scholar 

  4. Ebery, J.: Solving large single allocation p-hub problems with two or three hubs. European Journal of Operational Research (128), 447–458 (2001)

    Google Scholar 

  5. Ernst, Krishnamoorthy, M.: Efficient algorithms for the uncapacitated single allocation p-hub median problem. Location Science (4), 139–154 (1996)

    Google Scholar 

  6. Klincewicz, J.G.: Avoiding local minima in the p-hub location problem using tabu search and grasp. Annals of Operational Research (40), 283–302 (1992)

    Google Scholar 

  7. O’Kelly, M.E.: A quadratic integer program for the location of interacting hub facilities. European Journal of Operational Research (32), 393–404 (1987)

    Google Scholar 

  8. Smith, K., Krishnamoorthy, M., Palaniswani, M.: Neural versus traditional approaches to the location of interacting hub facilities. Location Science 4(3), 155–171 (1996)

    Article  MATH  Google Scholar 

  9. Skorin-Kapov, D., Skorin-Kapov, J.: On tabu search for the location of interacting hub facilities. European Journal of Operational Research (73), 502–509 (1994)

    Google Scholar 

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© 2004 Springer-Verlag Berlin Heidelberg

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Domínguez Merino, E., Muñoz Pérez, J. (2004). A Recurrent Neural Network for Airport Scales Location. In: Conejo, R., Urretavizcaya, M., Pérez-de-la-Cruz, JL. (eds) Current Topics in Artificial Intelligence. TTIA 2003. Lecture Notes in Computer Science(), vol 3040. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-25945-9_11

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  • DOI: https://doi.org/10.1007/978-3-540-25945-9_11

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-22218-7

  • Online ISBN: 978-3-540-25945-9

  • eBook Packages: Springer Book Archive

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