Efficient representation of interconnection length distributions using generating polynomials
SLIP '00 Proceedings of the 2000 international workshop on System-level interconnect prediction
The interpretation and application of Rent's rule
IEEE Transactions on Very Large Scale Integration (VLSI) Systems - Special issue on system-level interconnect prediction
Getting more out of Donath's hierarchical model for interconnect prediction
SLIP '02 Proceedings of the 2002 international workshop on System-level interconnect prediction
Validation of wire length distribution models on commercial designs
Proceedings of the 2003 international workshop on System-level interconnect prediction
Fast estimation of the partitioning rent characteristic using a recursive partitioning model
Proceedings of the 2003 international workshop on System-level interconnect prediction
A comparison of various terminal-gate relationships for interconnect prediction in VLSI circuits
IEEE Transactions on Very Large Scale Integration (VLSI) Systems - Special section on system-level interconnect prediction (SLIP)
Prelayout interconnect yield prediction
IEEE Transactions on Very Large Scale Integration (VLSI) Systems - Special section on system-level interconnect prediction (SLIP)
Assessment of on-chip wire-length distribution models
IEEE Transactions on Very Large Scale Integration (VLSI) Systems
Predicting interconnect requirements in ultra-large-scale integrated control logic circuitry
Proceedings of the 2005 international workshop on System level interconnect prediction
Adaptable wire-length distribution with tunable occupation probability
Proceedings of the 2007 international workshop on System level interconnect prediction
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A first-order differential equation for placement analysis is derived by considering the competing processes that generate and terminate wires crossing a circuit partition. The solution of this equation provides an estimate for the number of wires needed by a circuit partition for external communication and corresponds to the information normally associated with Rent's rule. The rate model is shown to account not only for the simple power-law form of Rent's rule for small partition sizes but also for deviations from power-law behavior observed for larger partition sizes. The accuracy of the model is validated by comparing solutions of the differential equation with experimental data extracted from a variety of netlists. The netlists, ranging from 10 000 to 68 000 cells, were optimized using a commercial placement tool. The accurate modeling of terminal-cell data results in a more robust predictive model for the distribution of wire lengths. This improved model accurately captures the change in the distribution of wires as the level of circuit placement optimization ranges from random to highly optimized placement. In addition, the new model provides an explanation for the experimentally observed inflection point and local maximum in the wire length distribution of some netlists.