2005
DOI: 10.1007/978-3-540-31965-8_3
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Discrete Geometry Applied in Hard Real-Time Systems Validation

Abstract: Abstract. Off-line validation of hard real-time systems usually stands on state based models. Such approaches always deal with both space and time combinatorial explosions. This paper proposes a discrete geometrical approach to model applications and to compute operational feasability from topological properties. Thanks to this model, we can decide the feasability of real-time synchronous systems composed of periodic tasks, sharing resources, running on multiprocessor architectures. This method avoids state en… Show more

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Cited by 9 publications
(3 citation statements)
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“…Moreover, our results encourage us to further the approach we have studied to more general systems: we have extended the scope of this methodology to realtime systems composed of both periodic and sporadic jobs [17]: a sporadic job is associated with an alarm signal, which is obviously not periodic. At another location, observation of the geometric properties of the automata's graphs has prompted us to adopt a new approach toward validating real-time, and it appears to be highly efficient [24]. At some future time, we are planning to apply these results so as to provide assistance for real-time conceivers in the operational specification process.…”
Section: Resultsmentioning
confidence: 99%
“…Moreover, our results encourage us to further the approach we have studied to more general systems: we have extended the scope of this methodology to realtime systems composed of both periodic and sporadic jobs [17]: a sporadic job is associated with an alarm signal, which is obviously not periodic. At another location, observation of the geometric properties of the automata's graphs has prompted us to adopt a new approach toward validating real-time, and it appears to be highly efficient [24]. At some future time, we are planning to apply these results so as to provide assistance for real-time conceivers in the operational specification process.…”
Section: Resultsmentioning
confidence: 99%
“…These approaches are generally modeldriven and are based on task system modelling using e.g. Petri nets, automata, geometric models... [6,35,21,23,25,13].…”
Section: Real-time Periodic Schedulingmentioning
confidence: 99%
“…Such an approach has a lower complexity than the former approaches, as well for the model generation as for the model analysis. In (15), we have defined a discrete geometrical model equivalent to the automata based model presented in (11). In this model, each task is associated with a 2D-discrete object that collects all the valid states of the task, i.e.…”
Section: Introductionmentioning
confidence: 99%