The aim of this presentation is to describe the work developed on scheduling
dynamically multi-user and independent jobs on clusters, both homogeneous and
heterogeneous. The dynamic behavior means that the scheduler is able to adapt
the scheduling when new jobs are submitted and also when processors availability
changes. The aim for future work is to study the possibility of extending the
scheduling algorithms for dynamic application scheduling on multicore
heterogeneous machines.  Another field of research is to develop grid
(multi-cluster) scheduling strategies according to the utility computing
concept. This is, to lower computation costs without damaging users QoS
requirements, by taking into account energy consumption as well as computation
time.