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Multiple voting location problems

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  • Campos Rodrí­guez, Clara M.
  • Moreno Pérez, José A.

Abstract

The facility voting location problems arise from the application of criteria derived from the voting processes concerning the location of facilities. The multiple location problems are those location problems in which the alternative solutions are sets of points. This paper extends previous results and notions on single voting location problems to the location of a set of facility points. The application of linear programming techniques to solve multiple facility voting location problems is analyzed. We propose an algorithm to solve Simpson multiple location problems from which the solution procedures for other problems are derived.

Suggested Citation

  • Campos Rodrí­guez, Clara M. & Moreno Pérez, José A., 2008. "Multiple voting location problems," European Journal of Operational Research, Elsevier, vol. 191(2), pages 437-453, December.
    • Handle: RePEc:eee:ejores:v:191:y:2008:i:2:p:437-453
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    References listed on IDEAS

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    1. Wendell, R. E. & McKelvey, R. D., 1981. "New perspectives in competitive location theory," European Journal of Operational Research, Elsevier, vol. 6(2), pages 174-182, February.
    2. Mladenovic, Nenad & Brimberg, Jack & Hansen, Pierre & Moreno-Perez, Jose A., 2007. "The p-median problem: A survey of metaheuristic approaches," European Journal of Operational Research, Elsevier, vol. 179(3), pages 927-939, June.
    3. Gregory Dobson & Uday S. Karmarkar, 1987. "Competitive Location on a Network," Operations Research, INFORMS, vol. 35(4), pages 565-574, August.
    4. Dionisio Brito & José Moreno Pérez, 2000. "The generalizedp-Centdian on network," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 8(2), pages 265-285, December.
    5. Campos Rodriguez, Clara M. & Moreno Perez, Jose A., 2003. "Relaxation of the Condorcet and Simpson conditions in voting location," European Journal of Operational Research, Elsevier, vol. 145(3), pages 673-683, March.
    6. HANSEN, Pierre & THISSE, Jacques-François & WENDELL, Richard E., 1990. "Equilibrium analysis for voting and competitive location problems," LIDAM Reprints CORE 898, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
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    Cited by:

    1. Roboredo, Marcos Costa & Pessoa, Artur Alves, 2013. "A branch-and-cut algorithm for the discrete (r∣p)-centroid problem," European Journal of Operational Research, Elsevier, vol. 224(1), pages 101-109.
    2. Kress, Dominik & Pesch, Erwin, 2012. "Sequential competitive location on networks," European Journal of Operational Research, Elsevier, vol. 217(3), pages 483-499.
    3. Ivan Davydov & Yury Kochetov & Alexandr Plyasunov, 2014. "On the complexity of the (r|p)-centroid problem in the plane," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 22(2), pages 614-623, July.

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