Constraint Solving Approach to Schedulability Analysis in Real-Time Systems

In real-time systems, the satisfaction of real-time properties is as important as the correct behavior of the function. There are many safety-critical systems among the real-time systems, and thus, the satisfaction of real-time properties is directly related to safety in those cases. By performing the schedulability analysis, we can predict the behavior of real-time systems and ensure that real-time properties are met. In this paper, we propose the schedulability analysis of a real-time system through a constraint solving approach, that is, by treating a scheduling problem as a constraint solving problem. To do this, we describe a method of representing the task behavior and schedulable properties of real-time tasks in the form of constraints and finding answers that satisfy all the constraints using a constraint solver.