Research Article

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

Table 1

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

banyan % banyan % banyan ā€‰

8 48 134 279% 48 144 300%52.8 157.4
16 480 528 110% 384 500 130%452.0 552.8
32 2 688 2 240 83% 2 240 2 016 90% 2 508.82 240.0
64 9 600 6 016 63% 7 680 7 488 98% 8 640.08 089.6
128 23 552 21 120 90% 19 712 24 320 123%22 067.2 26432.0
256 85 504 59 392 69% 69 632 70 400 101% 78 182.476 339.2
512 280 576 207 872 74% 248 832 233 472 94% 276 889.6254 259.2
1 024 948 224 587 776 62% 819 200 678 912 83% 914 022.4737 689.6
2 048 2 465 792 1 974 272 80% 2 207 744 2 179 072 99% 2 454 323.22 376 499.2
4 096 8 413 184 5 488 640 65% 7 372 800 6 205 440 84% 8 214 118.46 754 304.0
8 192 24 018 944 18 391 040 77% 21 938 176 20 054 016 91% 24 340 070.421893 120.0
16 384 79 003 648 51 216 384 65% 70 647 808 57 098 240 81% 78 548 172.862 219 878.4