“…First, we provide a better bound for the case of priority-scheduled tasks activated with a minimum interarrival time (sporadic) or periodically, but with unknown phases. The bound shows how it is possible to improve with respect to [8] by leveraging the additional information about the minimum inter-arrival times and the task priorities, and applies to a more general (and practically useful) task model than [7]. Furthermore, our bound also applies to a more general application model than the bounds presented up to now, namely by allowing the case of multiple active instances of tasks at the same time, and communication links with arbitrary delays.…”