In this paper we consider a problem of spatial allocation of agents "Technicians" with multi competences, for maintenance of distributed equipment requiring multi skills tasks. The objective is to ensure optimal partitioning of resource allocation taking into account the multi competences constraints and resources displacement. The approach to the problem is performed using the techniques of cellular automata and Voronoi diagrams. We first consider a simplified case of seven equipments and tree technicians with two competences. An algorithm is proposer for the considered case, and a simulation is presented. The technician displacement is not treated in this paper. A generalization to m equipments p technicians and n competences is proposed.