An optimal solution for the heterogeneous multiprocessor single-level voltage-setup problem

  • Authors:
  • Edward T.-H. Chu;Tai-Yi Huang;Yu-Che Tsai

  • Affiliations:
  • Department of Computer Science, National Tsing Hua University, Hsinchu, Taiwan;Microsoft Research, Redmond, WA;MediaTek Inc., Hsinchu, Taiwan

  • Venue:
  • IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
  • Year:
  • 2009

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Abstract

A heterogeneous multiprocessor (HeMP) system consists of several heterogeneous processors, each of which is specially designed to deliver the best energy-saving performance for a particular category of applications. A low-power real-time scheduling algorithm is required to schedule tasks on such a system to minimize its energy consumption and complete all tasks by their deadlines. Existing works assume that processor speeds are known as a priori and cannot deliver the optimal energy-saving performance. The problem of determining the optimal voltage for each processor to minimize the total energy consumption is called a voltage-setup problem. To the best of our knowledge, this is the first paper to propose the optimal solution for the HeMP single-level voltage-setup problem. This paper provides an optimal solution for the HeMP single-level voltage-setup problem. We first formulate the problem as a nonlinear generalized assignment problem that has been proved to be nondeterministic polynomial-time hard (NP-hard). We next develop a pruning-based algorithm to obtain the optimal solution. A heuristic algorithm is also proposed to derive an approximate solution. After obtaining the optimal partition, each processor's speed is determined by its final workload. In our simulations, wemodel more than a couple dozens of off-the-shelf embedded processors including ARM processor and TI DSP. The results show that the pruning-based algorithm reduces the time needed to derive the optimal solution by at least 98%, compared with the exhaustive search. Also, our heuristic algorithm achieves the minimum energy consumption over existing works.