6533b836fe1ef96bd12a0ba2
RESEARCH PRODUCT
Tabu search with strategic oscillation for the maximally diverse grouping problem
Manuel LagunaMicael GallegoRafael MartíAbraham Duartesubject
MarketingMathematical optimization021103 operations researchHeuristicHeuristic (computer science)Computer scienceStrategy and Management0211 other engineering and technologiesBoundary (topology)02 engineering and technologyManagement Science and Operations ResearchTabu searchManagement Information SystemsSet (abstract data type)0202 electrical engineering electronic engineering information engineeringOscillation (cell signaling)020201 artificial intelligence & image processingMetaheuristicdescription
We propose new heuristic procedures for the maximally diverse grouping problem (MDGP). This NP-hard problem consists of forming maximally diverse groups—of equal or different size—from a given set of elements. The most general formulation, which we address, allows for the size of each group to fall within specified limits. The MDGP has applications in academics, such as creating diverse teams of students, or in training settings where it may be desired to create groups that are as diverse as possible. Search mechanisms, based on the tabu search methodology, are developed for the MDGP, including a strategic oscillation that enables search paths to cross a feasibility boundary. We evaluate construction and improvement mechanisms to configure a solution procedure that is then compared to state-of-the-art solvers for the MDGP. Extensive computational experiments with medium and large instances show the advantages of a solution method that includes strategic oscillation.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2013-05-01 | Journal of the Operational Research Society |