Excerpt from Efficient Algorithms for Cyclic Scheduling
As the previous reduction shows every polynomial time approximation algorithm for the cyclic scheduling problem can be used to approximate optimality in the acyclic case. The best such algorithm for the acyclic case guarantees a factor of (2 1 p) from p - optimality Given a cyclic task system L, the goal of this section will therefore be that of generating a periodic p-schedule a, admissible for L, such that |l||p is, in the worst case, as close as possible to (2 1 p).
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