Scatter Tabu Search for Multiobjective Clustering Problems
R. Caballero, M. Laguna, R. Martí and J. Molina
April 2009

Abstract
We propose a hybrid heuristic procedure based on
scatter search and tabu search for the problem of clustering objects to
optimize multiple criteria. Our goal is to search for good approximations
of the efficient frontier for this class of problems and provide a means for
improving decision making in multiple application areas. Our procedure can
be viewed as an extension of SSPMO (a scatter search application to
non-linear multiobjective optimization) to which we add new elements and
strategies specially suited for combinatorial optimization problems.
Clustering problems have been the subject of numerous studies; however, most
of the work has focused on single-objective problems. Clustering using
multiple criteria and/or multiple data sources has received limited
attention in the OR literature. Our scatter tabu search implementation is
general and tackles several problems classes within this area of
combinatorial data analysis. We conduct extensive experimentation with both
artificial and real data (for a marketing-segmentation problem) to show that
our method is capable of delivering good approximations of the efficient
frontier for improved analysis and decision making.

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