A stochastic wire-length distribution for gigascale integration (GSI). I. Derivation and validation

Based on Rent's Rule, a well-established empirical relationship, a rigorous derivation of a complete wire-length distribution for on-chip random logic networks is performed. This distribution is compared to actual wire-length distributions for modern microprocessors, and a methodology to calculate the wire-length distribution for future gigascale integration (GSI) products is proposed.