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λ-OAT: λ-Geometry Obstacle-Avoiding Tree Construction With O(nlogn) Complexity
Tom Tong Jing; Zhe Feng; Yu Hu; Hong, X.L.; Hu, X.D.; Yan, G.Y.;
Computer-Aided Design of Integrated Circuits and Systems, IEEE Transactions on
Volume 26,
Issue 11,
Nov. 2007
Page(s):2073
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2079
Abstract:
Obstacle-avoiding rectilinear Steiner minimal tree (OARSMT) construction is an essential part of routing. Recently, IC routing and related researches have been extended from Manhattan architecture (lambda2-geometry) to Y-/X-architecture (lambda3-lambda4-geometry) to improve the chip performance. This paper presents an O(n log n) heuristic, lambda-OAT, for obstacle-avoiding Steiner minimal tree construction in the lambda-geometry plane (lambda-OASMT). In this paper, based on obstacle-avoiding constrained Delaunay triangulation, a full connected tree is constructed and then embedded into lambda-OASMT by zonal combination. To the best of our knowledge, this is the first work addressing the lambda-OASMT problem. Compared with most recent works on OARSMT problem, lambda-OAT obtains up to 30-Kx speedup with quality solution. We have tested randomly generated cases with up to 10 K terminals and 10-K rectilinear obstacles within 4 seconds on a Sun V880 workstation (755-MHz CPU and 4-GB memory). The high efficiency and accuracy of lambda-OAT make it extremely practical and useful in the routing phase.
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