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Published in:
2018 | OriginalPaper | Chapter
25. How to Divide Students into Groups: Importance of Diversity and Need for Intelligent Techniques to Further Enhance the Advantage of Groups with Diversity in Problem Solving
Authors : Olga Kosheleva, Karen Villaverde
Published in: How Interval and Fuzzy Techniques Can Improve Teaching
Publisher: Springer Berlin Heidelberg
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Abstract
In practice, there are many examples when the diversity in a group enhances the group’s ability to solve problems – and thus, leads to more efficient groups, firms, schools, etc. Several papers, starting with the pioneering research by Scott E. Page from the University of Michigan at Ann Arbor, provide a theoretical justification for this known empirical phenomenon. However, when the general advise of increasing diversity is transformed into simple-to-follow algorithmic rules (like quotas), the result is not always successful. In this chapter, we prove that the problem of designing the most efficient group is computationally difficult (NP-hard). Thus, in general, it is not possible to come up with simple algorithmic rules for designing such groups: to design optimal groups, we need to combine standard optimization techniques with intelligent techniques that use expert knowledge.