Potential BEOL Yield Gains from Non-Tree Route Augmentation

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Potential BEOL Yield Gains from Non-Tree Route
Augmentation
B. Liu, A. B. Kahng, I. Mandoiu
Given routing tree
Augmenting edges

• Scanline Speedup
• yq yu yp and xu xp xq xv ? cost(u,
  v) cost(u, s) cost(s, v) , s ? p, q, or,
  (u,v) can be replaced by (u, p) and (p, v)
• Enables implementation of line-scanning algorithm
  which speeds up greedy MRTA from O(n2) to
  O(n lg n)

• Increased wirelength budget potentially enables
  more efficient augmenting edges
• (instead of duplicated edges) and
  results in increased biconnectivity