 The continuous p-centre problem: An investigation into variable neighbourhood search with memoryAbdalla Elshaikh, Said Salhi and Gábor Nagy European Journal of Operational Research, 2015, vol. 241, issue 3, 606-621 Abstract: A VNS-based heuristic using both a facility as well as a customer type neighbourhood structure is proposed to solve the p-centre problem in the continuous space. Simple but effective enhancements to the original Elzinga–Hearn algorithm as well as a powerful ‘locate–allocate’ local search used within VNS are proposed. In addition, efficient implementations in both neighbourhood structures are presented. A learning scheme is also embedded into the search to produce a new variant of VNS that uses memory. The effect of incorporating strong intensification within the local search via a VND type structure is also explored with interesting results. Empirical results, based on several existing data set (TSP-Lib) with various values of p, show that the proposed VNS implementations outperform both a multi-start heuristic and the discrete-based optimal approach that use the same local search. Keywords: p-Centre problem; Continuous space; Variable neighbourhood search with memory; Adaptive search; Elzinga–Hearn algorithm (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:241:y:2015:i:3:p:606-621 DOI: 10.1016/j.ejor.2014.10.006 Access Statistics for this article European Journal of Operational Research is currently edited by Roman Slowinski, Jesus Artalejo, Jean-Charles. Billaut, Robert Dyson and Lorenzo Peccati More articles in European Journal of Operational Research from Elsevier |
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