The advanced users of StarPU have the ability to regulate the task submission to limit/control the consumption of critical resources (memory, network communication). This technique can penalize performance (parallelism deficit) and is not adapted to the concurrent management of several types of resources. The use of hierarchical tasks allow to refocus this management at the level of the scheduling engine: high-level tasks are used to express parallelism and resources requests. Once this graph is submitted, StarPU has the clairvoyance necessary to optimize the parallel execution of the application while respecting the constraints expressed.