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Distribution systems design with role dependent objectives

Author

Listed:
  • Kalcsics, Jörg
  • Nickel, Stefan
  • Puerto, Justo
  • Rodríguez-Chía, Antonio M.

Abstract

In this paper we introduce flexible models for capacitated discrete location problems. We describe three different points of view of a location problem in a logistics system. Different mathematical programming formulations are presented, illustrated by examples and compared using a battery of test problems. Extensive computational tests are done showing the potentials and limits of this kind of resolution approach.

Suggested Citation

  • Kalcsics, Jörg & Nickel, Stefan & Puerto, Justo & Rodríguez-Chía, Antonio M., 2010. "Distribution systems design with role dependent objectives," European Journal of Operational Research, Elsevier, vol. 202(2), pages 491-501, April.
    • Handle: RePEc:eee:ejores:v:202:y:2010:i:2:p:491-501
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    References listed on IDEAS

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    1. Antonio M. Rodríguez-Chía & Stefan Nickel & Justo Puerto & Francisco R. Fernández, 2000. "A flexible approach to location problems," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 51(1), pages 69-89, February.
    2. Alfredo Marín & Stefan Nickel & Justo Puerto & Sebastian Velten, 2006. "A Flexible Model and Efficient Solution Strategies for Discrete Location Problems," Operations Research Proceedings, in: Hans-Dietrich Haasis & Herbert Kopfer & Jörn Schönberger (ed.), Operations Research Proceedings 2005, pages 349-354, Springer.
    3. S. Nickel & J. Puerto & A. M. Rodríguez-Chía & A. Weissler, 2005. "Multicriteria Planar Ordered Median Problems," Journal of Optimization Theory and Applications, Springer, vol. 126(3), pages 657-683, September.
    4. Hinojosa, Y. & Puerto, J. & Fernandez, F. R., 2000. "A multiperiod two-echelon multicommodity capacitated plant location problem," European Journal of Operational Research, Elsevier, vol. 123(2), pages 271-291, June.
    5. Melo, M.T. & Nickel, S. & Saldanha-da-Gama, F., 2009. "Facility location and supply chain management - A review," European Journal of Operational Research, Elsevier, vol. 196(2), pages 401-412, July.
    6. Stanimirovic, Zorica & Kratica, Jozef & Dugosija, Djordje, 2007. "Genetic algorithms for solving the discrete ordered median problem," European Journal of Operational Research, Elsevier, vol. 182(3), pages 983-1001, November.
    7. Sourour Elloumi & Martine Labbé & Yves Pochet, 2004. "A New Formulation and Resolution Method for the p-Center Problem," INFORMS Journal on Computing, INFORMS, vol. 16(1), pages 84-94, February.
    8. Ogryczak, Wlodzimierz & Sliwinski, Tomasz, 2003. "On solving linear programs with the ordered weighted averaging objective," European Journal of Operational Research, Elsevier, vol. 148(1), pages 80-91, July.
    9. Vedran Kordic (ed.), 2008. "Supply Chain," Books, IntechOpen, number 26.
    10. Patricia Domínguez-Marín & Stefan Nickel & Pierre Hansen & Nenad Mladenović, 2005. "Heuristic Procedures for Solving the Discrete Ordered Median Problem," Annals of Operations Research, Springer, vol. 136(1), pages 145-173, April.
    11. R. L. Francis & T. J. Lowe & Arie Tamir, 2000. "Aggregation Error Bounds for a Class of Location Models," Operations Research, INFORMS, vol. 48(2), pages 294-307, April.
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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. Puerto, Justo & Pérez-Brito, Dionisio & García-González, Carlos G., 2014. "A modified variable neighborhood search for the discrete ordered median problem," European Journal of Operational Research, Elsevier, vol. 234(1), pages 61-76.
    3. Schnepper, Teresa & Klamroth, Kathrin & Stiglmayr, Michael & Puerto, Justo, 2019. "Exact algorithms for handling outliers in center location problems on networks using k-max functions," European Journal of Operational Research, Elsevier, vol. 273(2), pages 441-451.
    4. J. Puerto, 2020. "An exact completely positive programming formulation for the discrete ordered median problem: an extended version," Journal of Global Optimization, Springer, vol. 77(2), pages 341-359, June.
    5. Nickel, Stefan & Velten, Sebastian, 2017. "Optimization problems with flexible objectives: A general modeling approach and applications," European Journal of Operational Research, Elsevier, vol. 258(1), pages 79-88.

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