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A hybrid genetic algorithmic approach to the maximally diverse grouping problem

Z P Fan, Y Chen, J Ma and S Zeng
Additional contact information
Z P Fan: Northeastern University
Y Chen: Shanghai University of Finance & Economics
J Ma: City University of Hong Kong
S Zeng: University of Arizona

Journal of the Operational Research Society, 2011, vol. 62, issue 1, 92-99

Abstract: Abstract The maximally diverse grouping problem (MDGP) is a NP-complete problem. For such NP-complete problems, heuristics play a major role in searching for solutions. Most of the heuristics for MDGP focus on the equal group-size situation. In this paper, we develop a genetic algorithm (GA)-based hybrid heuristic to solve this problem considering not only the equal group-size situation but also the different group-size situation. The performance of the algorithm is compared with the established Lotfi–Cerveny–Weitz algorithm and the non-hybrid GA. Computational experience indicates that the proposed GA-based hybrid algorithm is a good tool for solving MDGP. Moreover, it can be easily modified to solve other equivalent problems.

Keywords: genetic algorithm; maximally diverse grouping problem; local neighbourhood search (search for similar items in EconPapers)
Date: 2011
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Citations: View citations in EconPapers (8)

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DOI: 10.1057/jors.2009.168

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