Response time bounds for static-priority tasks and arbitrary relative deadlines with resource augmentation

Pascal Richard, Georges Kemayo, Frédéric Ridouard, Emmanuel Grolleau, Thi Huyen Chau Nguyen · 2012

In this paper we propose parametric approximation algorithm (Fully Polynomial Time Approximation Scheme - FPTAS) that defines a compromise on the precision of computed worst-case response time upper bounds and the amount of extra processor speed required to achieve exact worst-case response times. Such a result fills the remaining gap between our previously published work [11] and also extends them to tasks with arbitrary relative deadlines. The method has been implemented and numerical results monitoring speedup factors are presented.

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