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An ant colony algorithm for the pos/neg weighted p-median problem


  • Jafar Fathali


  • Hossein Kakhki


  • Rainer Burkard



Let a graph G = (V, E) with vertex set V and edge set E be given. The classical graph version of the p-median problem asks for a subset $$X\subseteq V$$ of cardinality p, so that the (weighted) sum of the minimum distances from X to all other vertices in V is minimized. We consider the semi-obnoxious case, where every vertex has either a positive or a negative weight. This gives rise to two different objective functions, namely the weighted sum of the minimum distances from X to the vertices in V\X and, differently, the sum over the minimum weighted distances from X to V\X. In this paper an Ant Colony algorithm with a tabu restriction is designed for both problems. Computational results show its superiority with respect to a previously investigated variable neighborhood search and a tabu search heuristic. Copyright Physica-Verlag 2006

Suggested Citation

  • Jafar Fathali & Hossein Kakhki & Rainer Burkard, 2006. "An ant colony algorithm for the pos/neg weighted p-median problem," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 14(3), pages 229-246, September.
  • Handle: RePEc:spr:cejnor:v:14:y:2006:i:3:p:229-246
    DOI: 10.1007/s10100-006-0001-z

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    References listed on IDEAS

    1. Hansen, Pierre & Mladenovic, Nenad, 2001. "Variable neighborhood search: Principles and applications," European Journal of Operational Research, Elsevier, vol. 130(3), pages 449-467, May.
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