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Group role assignment ( GRA ) is originally a complex problem in role-based collaboration ( RBC ) . The solution to GRA provides modelling techniques for more complex problems. GRA with constraints ( GRA + ) is categorized as a class of complex assignment problems. At present, there are few generally efficient solutions to this category of problems. Each special problem case requires a specific solution. Group multi-role assignment ( GMRA ) and GRA with conflicting agents on roles ( GRACAR ) are two problem cases in GRA + . The contributions of this paper include: 1 ) The formalization of a new problem of GRA + , called group multi-role assignment with conflicting roles and agents ( GMAC ) , which is an extension to the combination of GMRA and GRACAR; 2 ) A practical solution based on an optimization platform; 3 ) A sufficient condition, used in planning, for solving GMAC problems; and 4 ) A clear presentation of the benefits in avoiding conflicts when dealing with GMAC. The proposed methods are verified by experiments, simulations, proofs and analysis.
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