Abstract
In this paper, an assignment problem under competence and preference constraints is presented. We are particularly interested simultaneously to ensure a better matching between task requirements and human resources competences and to satisfy the expressed preferences. For that purpose, we propose a new approach that consists of four steps to solve the assignment problem under competences and preferences constraints. A mathematical formulation and an appropriate solution method are presented. Indeed, a new algorithm based on the hybridization of the bee algorithm and the immune system is developed. Finally, the method is illustrated through a didactic example.
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