Research Article

Strict-Sense Nonblocking Conditions for the Multirate Switching Fabric for the Discrete Bandwidth Model

Table 2

The number of passive optical elements , active optical elements , and the normalized cost for a given capacity for different SSNB switching fabrics where , and .

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banyan % banyan % banyanā€‰

8 48 84 175% 48 96 200%52.8 104.4
16 288 304 106% 256 300 117%284.8 330.4
32 1 152 1 216 106% 960 1 120 117%1 075.2 1 241.6
64 4 736 3 200 68% 3 840 4 032 105%4 313.6 4 352.0
128 14 336 11 904 83% 12 544 14 080 112%13 977.6 15 270.4
256 52 736 34 816 66% 45 056 42 240 94% 50 329.645 721.6
512 153 600 122 368 80% 138 240 141 312 102% 153 600.0153 548.8
1 024 534 528 350 208 66% 471 040 412 672 88% 524 492.8447 692.8
2 048 1 523 712 1 189 888 78% 1 396 736 1 347 584 96% 1 549 107.21 466 572.8
4 096 5 136 384 3 358 720 65% 4 620 288 3 870 720 84% 5 133 926.44 206 592.0
8 192 14 450 688 11 165 696 77% 13 418 496 12 451 840 93% 14 863 564.813 568 409.6
16 384 47 742 976 31 227 904 65% 43 581 440 35 373 056 81% 48 355 737.638 495 846.4