A feasibility decision algorithm for rate monotonic scheduling of periodic real-time tasks

The rate monotonic scheduling algorithm is a commonly used task scheduling algorithm for periodic real time task systems. The paper discusses feasibility decision for a given real time task system by the rate monotonic scheduling algorithm. It presents a new necessary and sufficient condition for a given task system to be feasible, and a new feasibility decision algorithm based on that condition. The time complexity of this algorithm depends solely on the number of tasks. This algorithm can be applied to the inverse deadline scheduling algorithm, which is an extension of the rate monotonic scheduling algorithm.