We 4 Experimental Results Technology: 0:5m Cmos Ic Multi-chip Modules (mcms)
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چکیده
have also given a linear time algorithm to determine the set of possible root locations for a minimum diameter shortest path tree, and shown that any minimum diameter tree must pass through this region. When compared with the 1-Steiner algorithm, minimum diameter A-trees produced lower maximum and average delays, with slightly higher tree length. Consideration of the feasible center region resulted in reductions in tree length, and also in delay for most cases. When only a subset of pairs are critical, the methods still provide improvement, although approaches which do not restrict the diameter of the tree may provide greater improvement. These cases require more study; topologies which do not have minimum diameter may have dramatically better performance than those that do. Bounded diameter constructions may also be of some interest; a bounded diameter tree can be constructed easily by rooting a bounded radius tree within FR(P) or FR c (P). Construction of this type may also be eeective for the performance-driven multiple source routing problem. Table 7: Comparison of 1-Steiner, MD A-Tree, and MC MD A-Tree algorithms for maximum delay (MD), average maximum delay (AMD), and average delay (AD) through HSPICE simulation with MCM technology parameters. Average tree lengths and diameters are in centimeters. A-Tree, and MC MD A-Tree algorithms for maximum delay (MD), average maximum delay (AMD), and average delay (AD) through HSPICE simulation with 0:5m CMOS IC technology parameters. All test sets consisted of 8 nodes, with only a given number of node pairs being critical. Also included in this table are the average weighted path lengths (WPL), weighted diameter (WD), and required path length (RPL). The required path length provides a lower bound for the weighted path length, and in some cases cannot be obtained. Experiments considering both the feasible region (FR(P)) and the critical feasible (FR c (P)) were performed. Table 6: Comparison of 1-Steiner, MD A-Tree, and MC MD A-Tree for maximum delay (MD), average maximum delay (AMD), and average delay (AD) through HSPICE simulation with 0.5m CMOS IC technology parameters. Average tree lengths and diameters are in centimeters. Simulation results for 0:5m CMOS IC parameters are given in table 6. While the 1-Steiner algorithm produces wire lengths that are from 1.5% to 8% lower, the average diameter of trees produced by the Minimum Diameter A-Tree and Minimum Cost Minimum Diameter A-Tree algorithms was from 5% to 34% lower. MCM technology examples, shown in …
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Table Captions
Table 1. Technology parameters for CAZM 0:5m CMOS drivers 18]. Table 2. Technology parameters based on (a) MCM10 technology 5] and (b) CAZM 0:5m CMOS model 18]. Table 3. Average signal delay (ns) for (a) 1-critical-sink net and (b) multi-critical-sinks net under the MCM10 technology. Table 4. Average signal delay (ns) for (a) 1-critical-sink net and (b) multi-critical-sinks net under the CAZM 0...
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