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A New Formulation of the Capacitated Discrete Ordered Median Problems with {0, 1}-Assignment

In: Operations Research Proceedings 2007

Author

Listed:
  • Justo Puerto

    (Universidad de Sevilla)

Abstract

The capacitated discrete ordered median location model with binary assignment admit several formulations, some of them based on the binarization of the continuous models introduced in [2]. In this paper we consider a new formulation for the binary assignment problem based on a coverage approach. We derive some basic properties of the model and compare its performance with respect to previously known formulations.

Suggested Citation

  • Justo Puerto, 2008. "A New Formulation of the Capacitated Discrete Ordered Median Problems with {0, 1}-Assignment," Operations Research Proceedings, in: Jörg Kalcsics & Stefan Nickel (ed.), Operations Research Proceedings 2007, pages 165-170, Springer.
    • Handle: RePEc:spr:oprchp:978-3-540-77903-2_26
    DOI: 10.1007/978-3-540-77903-2_26
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    Citations

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    Cited by:

    1. Calvino, José J. & López-Haro, Miguel & Muñoz-Ocaña, Juan M. & Puerto, Justo & Rodríguez-Chía, Antonio M., 2022. "Segmentation of scanning-transmission electron microscopy images using the ordered median problem," European Journal of Operational Research, Elsevier, vol. 302(2), pages 671-687.
    2. Ljubić, Ivana & Pozo, Miguel A. & Puerto, Justo & Torrejón, Alberto, 2024. "Benders decomposition for the discrete ordered median problem," European Journal of Operational Research, Elsevier, vol. 317(3), pages 858-874.
    3. Fernández, Elena & Pozo, Miguel A. & Puerto, Justo & Scozzari, Andrea, 2017. "Ordered Weighted Average optimization in Multiobjective Spanning Tree Problem," European Journal of Operational Research, Elsevier, vol. 260(3), pages 886-903.
    4. Marín, Alfredo & Ponce, Diego & Puerto, Justo, 2020. "A fresh view on the Discrete Ordered Median Problem based on partial monotonicity," European Journal of Operational Research, Elsevier, vol. 286(3), pages 839-848.
    5. Víctor Blanco, 2019. "Ordered p-median problems with neighbourhoods," Computational Optimization and Applications, Springer, vol. 73(2), pages 603-645, June.
    6. Samuel Deleplanque & Martine Labbé & Diego Ponce & Justo Puerto, 2020. "A Branch-Price-and-Cut Procedure for the Discrete Ordered Median Problem," INFORMS Journal on Computing, INFORMS, vol. 32(3), pages 582-599, July.

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