Task period selection to minimize hyperperiod

In this paper a new task model with periods defined as ranges is proposed with the main goal of drastically reduce the hyperperiod of the task set. The model is focused to be applied in cyclic scheduling, where the length of the major cycle of the plan is determined by the hyperperiod. But it also can be applied in synthetic task sets generation, where having a small hyperperiod reduces complexity and simulation time. A new algorithm, which allows to calculate the minimum hyperperiod of such a set of tasks, is presented. This algorithm calculates the minimum value even with a large number of tasks, where exhaustive search becomes intractable.