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Dynamic voltage and frequency scaling (DVFS) for a parallel software program is crucial for lowering the ever-increasing power consumption of multiprocessor systems-on-chips (SoCs). In this paper, we propose an analytical DVFS method that judiciously exploits slack by considering the varying parallelism over each path in a task graph. The proposed method overcomes the conventional pessimistic assumption on the remaining workload, i.e., worst-case execution cycle. It yields minimum average energy consumption by utilizing the runtime distribution of a software program while satisfying the deadline constraints. The proposed method tackles leakage power consumption as well as dynamic power consumption by combined V dd/V bb scaling. Compared to conventional method , experimental results show that the proposed method provides up to 49.20% energy reduction for a set of synthetic task graphs and yields 23.93% and 27.15% energy reductions for two multimedia applications, namely, the H.264 encoder and decoder, respectively.