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45th Annual IEEE Symposium on Foundations of Computer Science (FOCS'04)   pp. 530-539
Optimal Power-Down Strategies

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DOI Bookmark: http://doi.ieeecomputersociety.org/10.1109/FOCS.2004.50
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Abstract
We consider the problem of selecting threshold times to transition a device to low-power sleep states during an idle period. The two-state case in which there is a single active and a single sleep state is a continuous version of the ski-rental problem. We consider a generalized version in which there is more than one sleep state, each with its own power consumption rate and transition costs. We give an algorithm that, given a system, produces a deterministic strategy whose competitive ratio is arbitrarily close to optimal. We also give an algorithm to produce the optimal online strategy given a system and a probability distribution that generates the length of the idle period. We also give a simple algorithm that achieves a competitive ratio of 3 + 2\sqrt 2 \approx 5.828 for any system.
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Citation:  John Augustine, Sandy Irani, Chaitanya Swamy, "Optimal Power-Down Strategies," focs, pp. 530-539,  45th Annual IEEE Symposium on Foundations of Computer Science (FOCS'04),  2004

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