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研究生: 林雍舜
Lin, Yung Shun
論文名稱: 三維晶片上佈局規劃之線長導向漸進式直通矽晶穿孔再分配
Wirelength-Driven Incremental TSV Redistribution on 3-D IC Floorplanning
指導教授: 麥偉基
Mak, Wai-Kei
口試委員: 王廷基
Wang, Ting-Chi
黃婷婷
Hwang, TingTing
學位類別: 碩士
Master
系所名稱: 電機資訊學院 - 資訊工程學系
Computer Science
論文出版年: 2013
畢業學年度: 102
語文別: 英文
論文頁數: 27
中文關鍵詞: 布局三維晶片白空間重新配置矽晶穿孔
外文關鍵詞: Floorplan, 3D-IC, Whitespace redistribution, TSV
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  • 三維積體電路相對於二維積體電路而言有許多優點,如更短的全域線
    長和較佳效能。模組元件與矽晶穿孔(Through-Silicon Via)的位置
    在決定線長時扮演了重要的角色。我們使用疊代法在白空間重新分配
    來改善全域線長。在每個改善步驟中我們建立並更新約束圖,白空間
    重新分配被制定成兩組線性規劃(Linear Programming)並被最新發
    展的解算器所解決。實驗數據顯示在所有的測試裡該演算法可以達到
    最高7.3%的線長縮短並只花費少量時間。


    Three dimensional integrated circuit (3-D IC) technique has various of benefits compared to traditional two dimensional IC (2D-IC) such as shorter global interconnect and higher performance. Positions of module blocks and Through-Silicon-Vias(TSV) plays an important role in total wirelength. To reduce the total wirelength, we use an iterative white space
    redistribution algorithm to improve the global interconnect. Constraint graph is constructed and updated during each refinement step, the whitespace redistribution is formulated as two linear programs and solved by an state-of-the-art optimizer. The experimental result shows the algorithm can achieve at most 7.3% wirelength reduction over all testcases and the runtime is very fast.

    Contents Acknowledgement i Abstract ii 1 Introduction 1 1.1 Introduction . . . 1 1.2 Previous work . . . 2 1.3 Organization . . . 3 2 Preliminaries and Problem Formulation 5 2.1 Block Level Floorplan with TSV Co-Placement. . . 5 2.2 TSV Reassignment . . . 7 2.3 Wirelength Estimation . . . 9 2.4 Whitespace redistribution for wirelength minimization on 3D-IC . . . 10 3 Algorithm 11 3.1 Construction of Constraint graph . . . 12 3.2 LP Based Whitespace Redistribution on 3D-IC. . . 14 4 Experiment 18 4.1 Environment . . . 18 4.2 White space redistribution on 3D-IC floorplan . . . 19 5 Conclusion 25 Reference 26

    [1] X. He, S. Dong, Y. Ma , X. Hong, “Simultaneous bu er and interlayer via planning
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    Design 2009
    [2] M.-C Tsai, T.-C.Wang, T.T. Hwang, “Through-Silicon Via Planning in 3-D Floorplanning
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    [3] J. Knechtel , I.L. Markov, J. Lienig, “Assembling 2-D Blocks Into 3-D Chips” in Proc.
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    via planning” in Proc. of Asia and South Pacific Design Automation Conference
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    [6] C.-R. Li,W.-K. Mak, and T.-C.Wang, “Fast Fixed-Outline 3-D IC FloorplanningWith
    TSV Co-Placement,” in IEEE Trans. Very Large Scale Integration (VLSI) Systems,
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    Floorplanner”, in Proc. of the Design Automation Conference, pages 161-166, 2008.
    [10] GSRC floorplan benchmarks.
    http://vlsicad.eecs.umich.edu/BK/GSRCbench/.
    [11] hMetis: hypergraph partitioner.
    http://glaros.dtc.umn.edu/gkhome/metis/hmetis/overview
    [12] CS2: min-cost flow solver.
    http://www.igsystems.com/cs2/index.html
    [13] Gurobi Optimizer
    http://www.gurobi.com/

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