### Abstract

We revisit voltage partitioning problem when the mapped voltages of functional units are predetermined. If energy consumption is estimated by formulation E=CV^{2}, a published work claimed this problem was NP-hard. We clarify that it is polynomial solvable, then propose an optimal algorithm, its time complexity is O(nk+k^{2}d) which is best so far, where n, k, and d are respectively the numbers of functional units, available supply voltages, and voltages employed in the final design. In reality, considering leakage power the energy-voltage curve is not simply monotonically increasing and there is still no optimal polynomal polynomial time algorithm. However, under the assumption that energy-voltage curve is quasiconvex, which is also a good approximation to actual situation, the optimal solution can be got in time O(nk^{2}). Experimental results show that our algorithms are more efficient than previous works.

Original language | English |
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Title of host publication | Proceedings of the ACM Great Lakes Symposium on VLSI, GLSVLSI |

Pages | 115-118 |

Number of pages | 4 |

DOIs | |

Publication status | Published - 2010 |

Event | 20th Great Lakes Symposium on VLSI, GLSVLSI 2010 - Providence, RI Duration: 2010 May 16 → 2010 May 18 |

### Other

Other | 20th Great Lakes Symposium on VLSI, GLSVLSI 2010 |
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City | Providence, RI |

Period | 10/5/16 → 10/5/18 |

### Keywords

- quasiconvex assumption
- voltage partition

### ASJC Scopus subject areas

- Engineering(all)

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## Cite this

*Proceedings of the ACM Great Lakes Symposium on VLSI, GLSVLSI*(pp. 115-118) https://doi.org/10.1145/1785481.1785509