Authors: | Brimberg, Jack Janićijević, Stefana Mladenović, Nenad Urošević, Dragan |
Title: | Solving the clique partitioning problem as a maximally diverse grouping problem | Journal: | Optimization Letters | Volume: | 11 | Issue: | 6 | First page: | 1123 | Last page: | 1135 | Issue Date: | 1-Aug-2017 | Rank: | M21 | ISSN: | 1862-4472 | DOI: | 10.1007/s11590-015-0869-4 | Abstract: | In this paper we show that the clique partitioning problem can be reformulated in an equivalent form as the maximally diverse grouping problem (MDGP). We then modify a skewed general variable neighborhood search (SGVNS) heuristic that was first developed to solve the MDGP. Similarly as with the MDGP, significant improvements over the state of the art are obtained when SGVNS is tested on large scale instances. This further confirms the usefulness of a combined approach of diversification afforded with skewed VNS and intensification afforded with the local search in general VNS. |
Keywords: | Clique partitioning | Maximum diverse grouping problem | Variable neighborhood search | Project: | Natural Sciences and Engineering Research Council of Canada Discovery Grant (NSERC #205041-2008) Mathematical Modelas and Optimization Methods on Large-Scale Systems RSF (Russian Federation) grant 14-41-00039 |
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