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Solving the planar p-median problem by variable neighborhood and concentric searches

Author

Listed:
  • Zvi Drezner
  • Jack Brimberg
  • Nenad Mladenović
  • Said Salhi

Abstract

Two new approaches for the solution of the $$p$$ p -median problem in the plane are proposed. One is a Variable Neighborhood Search and the other one is a concentric search. Both approaches are enhanced by a front-end procedure for finding good starting solutions and a decomposition heuristic acting as a post optimization procedure. Computational results confirm the effectiveness of the proposed algorithms. Copyright Springer Science+Business Media New York 2015

Suggested Citation

  • Zvi Drezner & Jack Brimberg & Nenad Mladenović & Said Salhi, 2015. "Solving the planar p-median problem by variable neighborhood and concentric searches," Journal of Global Optimization, Springer, vol. 63(3), pages 501-514, November.
    • Handle: RePEc:spr:jglopt:v:63:y:2015:i:3:p:501-514
    DOI: 10.1007/s10898-014-0183-1
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    References listed on IDEAS

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    1. Zvi Drezner, 1984. "The Planar Two-Center and Two-Median Problems," Transportation Science, INFORMS, vol. 18(4), pages 351-361, November.
    2. Zvi Drezner & Peter Hahn & Éeric Taillard, 2005. "Recent Advances for the Quadratic Assignment Problem with Special Emphasis on Instances that are Difficult for Meta-Heuristic Methods," Annals of Operations Research, Springer, vol. 139(1), pages 65-94, October.
    3. Jack Brimberg & Pierre Hansen & Nenad Mladenović & Eric D. Taillard, 2000. "Improvements and Comparison of Heuristics for Solving the Uncapacitated Multisource Weber Problem," Operations Research, INFORMS, vol. 48(3), pages 444-460, June.
    4. Drezner, Zvi, 2005. "The extended concentric tabu for the quadratic assignment problem," European Journal of Operational Research, Elsevier, vol. 160(2), pages 416-422, January.
    5. Brimberg, Jack & Drezner, Zvi & Mladenović, Nenad & Salhi, Said, 2014. "A new local search for continuous location problems," European Journal of Operational Research, Elsevier, vol. 232(2), pages 256-265.
    6. Zvi Drezner, 2003. "A New Genetic Algorithm for the Quadratic Assignment Problem," INFORMS Journal on Computing, INFORMS, vol. 15(3), pages 320-330, August.
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