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Power-aware operating systems ensure that the system temperature does not exceed a threshold by utilizing system-throttling. In this technique, the system load (or alternatively, the clock speed) is scaled when the temperature hits this threshold. At other times, the system operates at maximum load. In this paper, we show that such simple system-throttling rules are in fact the best one can achieve under certain assumptions. We show that maintaining a constant operating speed (and thusdoi:10.1109/waim.2008.63 dblp:conf/waim/RajanY08 fatcat:2ufda6roxjdcriuu63pijmvgee