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arXiv · 2609.21760

Response Time Stochastic Analysis for Fixed-Priority Stable Real-Time Systems

Kevin Zagalo·Yasmina Abdeddaïm·Avner Bar-Hen·Liliana Cucu-Grosjean
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Abstract

In this paper, we prove that a mean system utilization smaller than one is a necessary condition for the feasibility of real-time systems. Such systems are defined as stable. Stable systems have two distinct states: a transient state, followed by a steady-state where the same distribution of response times is repeated infinitely for each task. We prove that the Liu and Layland theorem holds for stable probabilistic real-time systems with implicit deadlines, we provide an analytical approximation of response times for each of those two states and a bound of the instant when a real-time system becomes steady.

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Kevin Zagalo, Yasmina Abdeddaïm, Avner Bar-Hen, Liliana Cucu-Grosjean. 2026-09-18. Response Time Stochastic Analysis for Fixed-Priority Stable Real-Time Systems. https://doi.org/10.1109/tc.2022.3211421

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