The main focus of this paper is the problem of ensuring safety properties such as timeliness in safety critical systems. We introduce the OASIS model and its associated techniques to model both real-time tasks and to ensure determinism and dependability concerns when tasks are executed in parallel. By this approach we will show some formal aspects of our real-time task model and also how this result is used to ensure that the timeliness property and the sizing can be achieved on a safety critical real-time study case.