Exact and heuristic algorithms for the Hamiltonian p-median problem

Güneş Erdoğan, Gilbert Laporte and Antonio M. Rodríguez Chía

European Journal of Operational Research, 2016, vol. 253, issue 2, 280-289

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.

Keywords: Hamiltonian; p-median; Branch-and-cut; Metaheuristic (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:253:y:2016:i:2:p:280-289

DOI: 10.1016/j.ejor.2016.02.012

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