Task assignment on uniform heterogeneous multiprocessors

The partitioning of periodic task systems upon uniform multiprocessors is considered. In the partitioned approach to scheduling periodic tasks upon multiprocessors, each task is assigned to a specific processor and all jobs generated by a task are required to execute upon the processor to which the task is assigned. A uniform heterogeneous multiprocessor is a multiprocessor in which each processor has an associated speed - a processor of speed s operating for t units of time will perform s × t units of work. Partitioning of periodic task systems requires solving the bin-packing problem, which is known to be intractable (NP-hard in the strong sense). This paper presents methods for finding an approximate utilization bound for partitioned scheduling on uniform heterogeneous multiprocessors.