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As part of our effort to develop a unified methodology and platform for simultaneous logic and interconnect design and optimization, we study the simultaneous transistor and interconnect sizing problem (STIS) for delay minimization in this paper. Most previous works consider the device sizing and the interconnect sizing problems separately. The device sizing problem includes both gate sizing and transistorsizing problems. In [9], the transistor sizing problem was formulated as a posynomial programming problem under the Elmore delay formulation for the RC tree model and solved by a sensitivity-based heuristics.

71 T. Sakurai, "Closed form expressions for interconnection delay, coupling and crosstalk in VLSIs", IEEE Transactions on Electron Devices, Vol. 40, No. 1, 1993, pp. 118-123. [8] J. Rubinstein, P. A. Horowitz, "Signal delay in RC tree networks", IEEE Transactions on Computer-Aided Design of ICs and Systems, Vol. 2. 3, 1983, pp. 202-210. [9] T. L. Liu, "Minimum crosstalk channel routing", Digest of Technical Papers of the International Conference on Computer-Aided Design, 1993, pp. 692-696. [10] T.

When we apply our wiresizing formula to size a wire segment in a tree, Rd should be set to be the total (weighted) upstream resistance including the driving resistance, and the CL should be set to be the total (weighted) downstream capacitance, including the load capacitances of the sinks in the subtree. ) It can be shown that this modified algorithm is extremely fast and always converges to a global optimal solution. 25 CL. 000001 I- the downstream capacitance of W3 Rd. the upstream resistance of w 3 2 .

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