An Efficient Multi-Level Algorithm for 3D-IC TSV Assignment

Cong HAO  Takeshi YOSHIMURA  

Publication
IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences   Vol.E100-A   No.3   pp.776-784
Publication Date: 2017/03/01
Online ISSN: 1745-1337
Type of Manuscript: PAPER
Category: VLSI Design Technology and CAD
Keyword: 
3D-IC,  TSV assignment,  multi commodity flow,  

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Summary: 
Through-silicon via (TSV) assignment problem is one of the key design challenges of 3-D IC which is crucial to the wire length and signal delay. In this work we formulate the 3-D IC TSV assignment as an Integer Minimum Cost Multi Commodity (IMCMC) problem on a IMCMC network, and propose a multi-level algorithm. It coarsens the IMCMC network level by level, applies a rough flow assignment on each level of coarsened graph, and generates only promising edges to reduce the IMCMC network size. Benefiting from the multi-level structure, we propose a mixed single and multi commodity flow method improve the TSV assignment solution quality. Moreover, given a TSV assignment, we propose an extended layer by layer algorithm to further optimize the TSV assignment. The experimental results demonstrate that our multi-level with mixed single and multi commodity flow algorithm achieves not only smaller wire length but also shorter runtime compared to other existing works.