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Location of speed-up subnetworks

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  • Marie Schmidt
  • Anita Schöbel

Abstract

Let a network with edge weights, a set of point-to-point transportation requests and a factor $$\alpha $$ α be given. Our goal is to design a subnetwork of given length along which transportation costs are reduced by $$\alpha $$ α . This reduces the costs of the network traffic which will choose to use edges of the new subnetwork if this is the more efficient option. Our goal is to design the subnetwork in such a way that the worst-case cost of all routing requests is minimized. The problem occurs in many applications, among others in transportation networks, in backbone, information, communication, or electricity networks. We classify the problem according to the types of the given network and of the network to be established. We are able to clarify the complexity status in all considered cases. It turns out that finding an optimal subtree in a tree already is NP-hard. We therefore further investigate this case and propose results and a solution approach. Copyright Springer Science+Business Media New York 2014

Suggested Citation

  • Marie Schmidt & Anita Schöbel, 2014. "Location of speed-up subnetworks," Annals of Operations Research, Springer, vol. 223(1), pages 379-401, December.
  • Handle: RePEc:spr:annopr:v:223:y:2014:i:1:p:379-401:10.1007/s10479-014-1628-0
    DOI: 10.1007/s10479-014-1628-0
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    References listed on IDEAS

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    1. Mesa, Juan A. & Brian Boffey, T., 1996. "A review of extensive facility location in networks," European Journal of Operational Research, Elsevier, vol. 95(3), pages 592-603, December.
    2. Contreras, Ivan & Fernández, Elena, 2012. "General network design: A unified view of combined location and network design problems," European Journal of Operational Research, Elsevier, vol. 219(3), pages 680-697.
    3. Labbe, Martine & Laporte, Gilbert & Rodriguez Martin, Inmaculada & Gonzalez, Juan Jose Salazar, 2005. "Locating median cycles in networks," European Journal of Operational Research, Elsevier, vol. 160(2), pages 457-470, January.
    4. S. Mitchell Hedetniemi & E. J. Cockayne & S. T. Hedetniemi, 1981. "Linear Algorithms for Finding the Jordan Center and Path Center of a Tree," Transportation Science, INFORMS, vol. 15(2), pages 98-114, May.
    5. Laporte, G. & Mesa, J.A. & Ortega, F.A. & Perea, F., 2011. "Planning rapid transit networks," Socio-Economic Planning Sciences, Elsevier, vol. 45(3), pages 95-104, September.
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    Cited by:

    1. Goerigk, Marc & Schmidt, Marie, 2017. "Line planning with user-optimal route choice," European Journal of Operational Research, Elsevier, vol. 259(2), pages 424-436.

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