The introduction of high-performance applications such as multimedia applications into embedded systems led the manufacturers to offer embedded platforms able to offer an important computing power which makes it possible to answer the increasing requirements of future evolutions of these applications. One of the adopted solutions is the use of multiprocessor platforms. In this paper we propose an exploratory methodology of scheduling software modelled in the form of hierarchical, collaborative and interdependent hierarchical tasks with local deadlines. Scheduling answers (1) the local temporal requirements of tasks, and allows (2) an effective exploitation of multiprocessor platforms