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arXiv · 0902.1260

Nonclairvoyant Speed Scaling for Flow and Energy

Ho-Leung Chan·Jeff Edmonds·Tak-Wah Lam·Lap-Kei Lee·Alberto Marchetti-Spaccamela·Kirk Pruhs
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Abstract

We study online nonclairvoyant speed scaling to minimize total flow time plus energy. We first consider the traditional model where the power function is P (s) = s\^\propto. We give a nonclairvoyant algorithm that is shown to be O(\propto\^3)-competitive. We then show an Ω(\propto\^(1/3-ε)) lower bound on the competitive ratio of any nonclairvoyant algorithm. We also show that there are power functions for which no nonclairvoyant algorithm can be O(1)-competitive.

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Ho-Leung Chan, Jeff Edmonds, Tak-Wah Lam, Lap-Kei Lee, Alberto Marchetti-Spaccamela, Kirk Pruhs. 2009-02-07. Nonclairvoyant Speed Scaling for Flow and Energy. https://arxiv.org/abs/0902.1260

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