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IMA Journal of Management Mathematics Advance Access published online on October 14, 2009

IMA Journal of Management Mathematics, doi:10.1093/imaman/dpp020
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© The authors 2009. Published by Oxford University Press on behalf of the Institute of Mathematics and its Applications. All rights reserved.

A balanced team-generating model for teams with less than nine persons

Henny van de Water{dagger}

Faculty of Economics and Business Management, University of Groningen, Groningen, The Netherlands

Cock Bukman

Rotterdam School of Management, Erasmus University, Rotterdam, The Netherlands

{dagger} Email: henwater{at}hotmail.com

Received on 30 March 2009. Accepted on 18 September 2009.

According to Belbin, each person can be characterized by nine role types. He provided a clear insight into the internal group relationships and the clarification of the roles needed for a team to work efficiently. The resulting teams are called balanced teams.This paper elaborates on a team balancing model. One of the difficulties in designing a balanced team is caused by the question of how to choose the nine necessary team roles when a team consists of less than nine persons. In that situation, one of the possible primary roles in a team must be replaced by a secondary role or even a tertiary role. A mathematical model is introduced that gives one the opportunity to assign the most suitable roles as primary and secondary roles to a team consisting of less than nine persons to generate a balanced team in terms of Belbin. A practical application is given.

Keywords: organization theory; Belbin theory; team balancing model; primary and secondary roles; admissible role pairs


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