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From instantaneous schedulability to worst case schedulability: a significant moment approach

Ningshi Yao and Fumin Zhang

Cyber-Physical Systems, 2025, vol. 11, issue 4, 385-417

Abstract: The method of significant moment analysis has been used to derive instantaneous schedulability tests for real-time tasks. However, the instantaneous schedulability can only be checked within a finite time window. On the other hand, worst-case schedulability guarantees schedulability of tasks for infinite time. This paper derives the classical worst-case schedulability conditions for pre-emptive periodic tasks starting from instantaneous schedulability, hence unifying the two notions of schedulability. The results provide a rigorous justification for the critical time instants being the worst case for scheduling pre-emptive periodic tasks. The paper also shows that the critical time instant is not the only worst-case moments.

Date: 2025
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DOI: 10.1080/23335777.2024.2426245

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