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Exact and heuristic algorithms for the Hamiltonian p-median problem

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  • Erdoğan, Güneş
  • Laporte, Gilbert
  • Rodríguez Chía, Antonio M.

Abstract

This paper presents an exact algorithm, a constructive heuristic algorithm, and a metaheuristic for the Hamiltonian p-Median Problem (HpMP). The exact algorithm is a branch-and-cut algorithm based on an enhanced p-median based formulation, which is proved to dominate an existing p-median based formulation. The constructive heuristic is a giant tour heuristic, based on a dynamic programming formulation to optimally split a given sequence of vertices into cycles. The metaheuristic is an iterated local search algorithm using 2-exchange and 1-opt operators. Computational results show that the branch-and-cut algorithm outperforms the existing exact solution methods.

Suggested Citation

  • Erdoğan, Güneş & Laporte, Gilbert & Rodríguez Chía, Antonio M., 2016. "Exact and heuristic algorithms for the Hamiltonian p-median problem," European Journal of Operational Research, Elsevier, vol. 253(2), pages 280-289.
    • Handle: RePEc:eee:ejores:v:253:y:2016:i:2:p:280-289
    DOI: 10.1016/j.ejor.2016.02.012
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    Cited by:

    1. Bektaş, Tolga & Gouveia, Luís & Santos, Daniel, 2019. "Revisiting the Hamiltonian p-median problem: A new formulation on directed graphs and a branch-and-cut algorithm," European Journal of Operational Research, Elsevier, vol. 276(1), pages 40-64.
    2. Barbato, Michele & Gouveia, Luís, 2024. "The Hamiltonian p-median problem: Polyhedral results and branch-and-cut algorithms," European Journal of Operational Research, Elsevier, vol. 316(2), pages 473-487.

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