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P-Median Problems with an Additional Constraint on the Assignment Variables

In: Operations Research Proceedings 2010

Author

Listed:
  • Paula Camelia Trandafir

    (University of Valladolid)

  • Jesús Sáez Aguado

    (University of Valladolid)

Abstract

We consider P-median problems with an additional constraint on the assignment variables. In this paper we develop two kinds of heuristic algorithms. Firstly, by designing both construction and improvement heuristics, which extend the Teitz-Bart and Whitaker heuristics to the case of an additional constraint, we develop a multistart GRASP heuristic. Secondly, by employing Lagrangian relaxation methods, we propose a very efficient heuristic, based on solving heuristically several unrestricted P-median problems. We present the computational results of comparing the different approximations using a set of randomly generated test instances.

Suggested Citation

  • Paula Camelia Trandafir & Jesús Sáez Aguado, 2011. "P-Median Problems with an Additional Constraint on the Assignment Variables," Operations Research Proceedings, in: Bo Hu & Karl Morasch & Stefan Pickl & Markus Siegle (ed.), Operations Research Proceedings 2010, pages 319-324, Springer.
    • Handle: RePEc:spr:oprchp:978-3-642-20009-0_51
    DOI: 10.1007/978-3-642-20009-0_51
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