Variable neighborhood search for metric dimension and minimal doubly resolving set problems

Nenad Mladenović, Jozef Kratica, Vera Kovačević-Vujčić and Mirjana Čangalović

European Journal of Operational Research, 2012, vol. 220, issue 2, 328-337

Abstract: In this paper, two similar NP-hard optimization problems on graphs are considered: the metric dimension problem and the problem of determining a doubly resolving set with the minimum cardinality. Both are present in many diverse areas, including network discovery and verification, robot navigation, and chemistry. For each problem, a new mathematical programming formulation is proposed. For solving more realistic large-size instances, a variable neighborhood search based heuristic is designed. An extensive experimental comparison on five different types of instances indicates that the VNS approach consistently outperforms a genetic algorithm, the only existing heuristic in the literature designed for solving those problems.

Keywords: Metaheuristics; Combinatorial optimization; Variable neighborhood search; Metric dimension; Minimal doubly resolving set (search for similar items in EconPapers)
Date: 2012
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:220:y:2012:i:2:p:328-337

DOI: 10.1016/j.ejor.2012.02.019

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