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In this paper, we tackle the problem of minimiring the energy consumption of single-processor-core systems in both oftline and online phases. The tasks are reordered io the oftline scheduling by taking into account the statistical information such that on average more slacks will he resulted during the tasks?? execution. The energy consumption is further optimized by optimally re-distributing the slack time and re-assigning the voltage for each task at runtime. Also, the correlations among the tasks are considered. Experimental results show that more than half of the energy reductions are achieved using the proposed approaches.