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SmartMPW


2020(第二届)集成电路EDA设计精英挑战赛

赛题三:智能 MPW 拼接

问题描述

输入 N 个不同形状和尺寸的多边形(相当于版图边界外形),多边形为矩形或边均为正交方向的多边形(L字形、T字形、凹字形),要求输出各个多边形的最终摆放位置。目标函数为最小化拼接形成的包络矩形的面积,在面积相同的情况下,长宽比越接近 1 : 1 的矩形更优。

拼接规则为:

  • 不允许重叠;
  • 允许做基本的几何旋转;
  • 拼接成的包络矩形需要满足长宽在一定范围内,如50um≤宽≤300um,50um≤长≤400um。

两层搜索框架

上层:自适应选择搜索(ASA,Adaptive selection approach) 的目标在于找到一个有潜力的包络矩形长度;

下层:随机局部搜索(RLS,Random local search) 则是为了找到一个合理的放置顺序。

asa random local search

算例求解情况

详见 BestResult

排版效果展示

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