Research Article

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

Table 3

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 % banyan

8 48 42 88% 48 48 100% 52.852.2
16 128 96 75% 128 100 78% 140.8109.6
32 1 152 704 61% 960 672 70% 1 075.2742.4
64 3 456 2 432 70% 3 072 2 880 93% 3 417.63 123.2
128 10 752 8 192 76% 8 960 10 240 114%10 035.2 11 059.2
256 32 256 26 624 83% 28 672 30 976 108%31 897.6 33 638.4
512 116 736 81 920 70% 101 376 98 304 97% 113 049.6106 496.0
1 024 358 400 247 808 69% 327 680 279 552 85% 363 520.0304 332.8
2 048 1 073 152 786 432 73% 946 176 917 504 97% 1 053 491.2996 147.2
4 096 3 301 376 2 375 680 72% 3 047 424 2 641 920 87% 3 377 561.62 879 488.0
8 192 10 190 848 7 340 032 72% 9 158 656 8 388 608 92% 10 177 740.89 122 611.2
16 384 31 424 512 21 594 112 69% 29 360 128 23 674 880 81% 32 502 579.225 834 291.2