en cours de soumission chez Kluwer Academic PublishersIn the 70s, the transition from batch systems to interactive computing fueled the widespread diffusion of advances in integrated circuit technology. Grids are facing a similar challenge, namely the seamless integration of the grid power into everyday use. One critical component for this integration is responsiveness, the capacity to support on-demand computing and interactivity. A large contributor to responsiveness is the Quality of Service (QoS) for the job execution time. Grid scheduling is involved at two levels in order to provide QoS: the policy level and the implementation level. The main contributions of this paper are as follows. First, we present a detailed analysis of the perf...