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.

中文翻译：

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具有角色和代理冲突的组多角色分配

组角色分配（GRA）最初是基于角色的协作（RBC）中的一个复杂问题。GRA解决方案为更复杂的问题提供了建模技术。带约束的GRA（GRA +）被归类为一类复杂的分配问题。目前，对于这类问题，几乎没有有效的解决方案。每个特殊问题案例都需要特定的解决方案。小组多角色分配（GMRA）和角色冲突的GRA（GRACAR）是GRA +中的两个问题案例。本文的贡献包括：1）GRA +的新问题的形式化，即具有角色和代理冲突的小组多角色分配（GMAC），这是对GMRA和GRACAR组合的扩展。2）基于优化平台的实用解决方案；3）足够的条件，用于计划中，用于解决GMAC问题；和4）清楚地说明了在与GMAC打交道时避免冲突的好处。通过实验，仿真，证明和分析验证了所提出的方法。