International audienceMulticore architectures are now widely used in energy-constrained real-time systems, such as energy-harvesting wireless sensor networks. To take advantage of these multicores, there is a strong need to balance system energy, performance and Quality-of-Service (QoS). The Imprecise Computation (IC) model splits a task into mandatory and optional parts allowing to tradeoff QoS. The problem of mapping, i.e. allocating and scheduling, IC-tasks to a set of processors to maximize system QoS under real-time and energy constraints can be formulated as a Mixed Integer Linear Programming (MILP) problem. However, state-of-the-art solving techniques either demand high complexity or can only achieve feasible (suboptimal) solutions. ...