### 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 |

### Fingerprint

### Keywords

- quasiconvex assumption
- voltage partition

### ASJC Scopus subject areas

- Engineering(all)

### Cite this

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

**A revisit to voltage partitioning problem.** / Lin, Tao; Dong, Sheqin; Yu, Bei; Chen, Song; Goto, Satoshi.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

*Proceedings of the ACM Great Lakes Symposium on VLSI, GLSVLSI.*pp. 115-118, 20th Great Lakes Symposium on VLSI, GLSVLSI 2010, Providence, RI, 10/5/16. https://doi.org/10.1145/1785481.1785509

}

TY - GEN

T1 - A revisit to voltage partitioning problem

AU - Lin, Tao

AU - Dong, Sheqin

AU - Yu, Bei

AU - Chen, Song

AU - Goto, Satoshi

PY - 2010

Y1 - 2010

N2 - We revisit voltage partitioning problem when the mapped voltages of functional units are predetermined. If energy consumption is estimated by formulation E=CV2, 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+k2d) 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(nk2). Experimental results show that our algorithms are more efficient than previous works.

AB - We revisit voltage partitioning problem when the mapped voltages of functional units are predetermined. If energy consumption is estimated by formulation E=CV2, 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+k2d) 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(nk2). Experimental results show that our algorithms are more efficient than previous works.

KW - quasiconvex assumption

KW - voltage partition

UR - http://www.scopus.com/inward/record.url?scp=77954465995&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=77954465995&partnerID=8YFLogxK

U2 - 10.1145/1785481.1785509

DO - 10.1145/1785481.1785509

M3 - Conference contribution

AN - SCOPUS:77954465995

SN - 9781450300124

SP - 115

EP - 118

BT - Proceedings of the ACM Great Lakes Symposium on VLSI, GLSVLSI

ER -