Two facts are motivating this work: the demand for High Performance Computing of researchers and the low usage of the computing power of the pedagogic ressources. This thesis aims at giving an answer to the demand for HPC, while preserving the pedagogic ressources for the teaching. This work looked for a solution that would be simple and straightforward for the final users. Their needs and wishes lead to the definition of some specifications, in which most of the constraints could be satisfied with the use of a well designed software stack. Some others, however, cannot be satisfied with the use of existing solutions only, they define a new scheduling problem, in which the goal is to schedule the processes on the available ressources. This problem was studied and solved with various heurisitcs, which performances were compared with a simulator before being implemented in an experimental setup.