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Rapport (Rapport De Recherche) Année : 1999

Analysis of Preemptive Periodic Real Time Systems using the (max,plus) Algebra with Applications in Robotics

François Baccelli
Bruno Gaujal
Daniel Simon

Résumé

In this paper we present the model of a system of periodic real-time tasks with fixed priorities, preemption and synchronization, performed by a robot controler, using Marked Graphs. Then, with the help of the (max,plus) algebra, we derive simple tests to check real time constraints on those tasks such as response times and the respect of deadlines. This method takes into account precedence and synchronization constraints and is not limited to a particular scheduling policy.
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Dates et versions

inria-00072883 , version 1 (24-05-2006)

Identifiants

  • HAL Id : inria-00072883 , version 1

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François Baccelli, Bruno Gaujal, Daniel Simon. Analysis of Preemptive Periodic Real Time Systems using the (max,plus) Algebra with Applications in Robotics. [Research Report] RR-3778, INRIA. 1999. ⟨inria-00072883⟩
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