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A Hybrid GRASP-Path Relinking Algorithm for the Capacitated p – hub Median Problem

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Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 3636))

Abstract

The p – hub median problem is an NP hard location – allocation problem, that consists of finding p points to establish facilities and the assignment of the users to these points. In the capacitated version of this problem, each hub has got a maximum capacity limiting the traffic to be assigned. A new evolutionary approach that has been very effective for solving optimization problems is Path Relinking, an extension of Scatter Search that links solutions over neighborhood spaces. GRASP is a well-known randomized multistart metaheuristic. In this paper, we present a hybrid GRASP-Path Relinking for the capacitated p – hub median problem where the GRASP is used to construct the population of the Path Relinking. Computational results demonstrate that the hybrid GRASP-Path Relinking provides better solutions, in terms of both running times and solution quality.

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© 2005 Springer-Verlag Berlin Heidelberg

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Pérez, M., Almeida, F., Moreno-Vega, J.M. (2005). A Hybrid GRASP-Path Relinking Algorithm for the Capacitated p – hub Median Problem. In: Blesa, M.J., Blum, C., Roli, A., Sampels, M. (eds) Hybrid Metaheuristics. HM 2005. Lecture Notes in Computer Science, vol 3636. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11546245_13

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  • DOI: https://doi.org/10.1007/11546245_13

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-28535-9

  • Online ISBN: 978-3-540-31898-9

  • eBook Packages: Computer ScienceComputer Science (R0)

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