Parameterized Schedulability Analysis on Uniform Multiprocessors

This paper addresses global Rate-Monotonic (RM) scheduling of implicit-deadline periodic real-time tasks on uniform multiprocessor platforms. In particular, we propose new schedulability conditions that include a set of easily computable task-set parameters for achieving better system utilization while meeting the deadlines of all the tasks. First, an individual sufficient schedulability condition is derived for each task. Then, the collection of schedulability conditions for the tasks are condensed to provide two different simple sufficient schedulability conditions for the entire task system --- one for uniform multiprocessors, and one for unit-capacity multiprocessors, respectively. Finally, we show that our proposed simple rate-monotonic schedulability conditions for uniform and unit-capacity multiprocessors have higher worst-case system utilization than all other state-of-the-art simple schedulability conditions for global rate-monotonic scheduling of implicit-deadline tasks.