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This paper studies the problems of optimizing power dissipation for simultaneous buffer insertion/sizing and uniform wire sizing (BISUWS), and simultaneous buffer insertion/sizing and tapered wire sizing (BISTWS). For BISUWS, we analyze the optimal total power dissipation under the delay constraints as well as the power-delay tradeoff. For BISTWS, we study the problems of minimizing power dissipation with optimal delay constraints or with a given delay penalty. We derive optimal solutions for both cases. These solutions can be used to efficiently estimate the power dissipation for long single wires in the interconnect designs.