(i) From the extract of the Erlang blocking probability table
provided, calculate the number of trunk circuits required between
the concentrator unit and the exchange if a 1% Grade of Service is
to be provided. How much traffic is lost? Comment on the efficiency
of the use of each trunk circuit under these conditions.
(ii) The data rate of one standard E1 multiplexer is 2.048
Mbits/s. Each trunk circuit of the above concentrator works as a
voice channel with a data rate of 64 kbits/s. To connect the
concentrator and the exchange, a framing channel and a signalling
channel will be added. The data rate for each channel is 64
kbits/s. Evaluate whether an E1 multiplexer is suitable to connect
between the concentrator unit and the exchange.
[10 marks]
Erlang B Traffic Table Maximum Offered Load Versus B and N (B is in %) N/B 0.01 0.05 0.1 0.5 1.0 2 5 10 15 20 30 40 1 0001 .0005 .0010 .0050 .0101 .0204 .IIII 1765 2500 4286 6667 0526 .3813 5954 2 .0142 2235 7962 1.000 1.449 2.000 3 .6022 3.480 .0321 0458 .1054 1526 0868 1517 1938 .3490 4555 2347 3624 4393 .7012 .8694 1.092 4520 .6486 .7621 1.132 1.361 1.657 .8994 1.271 1.603 1.930 2.633 2.045 2.501 2.945 3.891 5.021 4 1.525 5 2.219 2.881 3.454 4.010 5.189 6.596 6 .7282 9957 1.146 1.622 1.909 2.276 2.960 3.758 4.445 5.109 6.514 8.191 7 1.054 1.392 2.158 2.501 2.935 3.738 4.666 5.461 6.230 7.856 9.800 1.579 1.422 1.830 2.051 2.730 8 3.128 3.627 4.543 5.597 6.498 7.369 9.213 11.42 9 4.345 5.370 6.546 7.551 8.522 10.58 13.05 1.826 2.302 2.558 3.333 2.803 3.092 10 2.260 3.783 3.961 4.461 5.084 6.216 7.076 7.511 8616 9.685 11.95 14.68 2.722 3.329 3.651 4.610 5.160 5.842 8.487 9.691 10.86 13.33 16.31 12 3.207 3.878 4.231 5.279 5.876 6.615 7.950 9.474 10.78 12.04 14.72 17.95 13 3.713 4.447 4.831 5.964 6.607 7.402 8.835 10.47 11.87 13.22 16.11 19.60 14 4.239 5.032 5.446 6.663 7.352 8.200 9.730 11.47 12.97 14.41 17.50 21.24 15 4.781 5.634 6.077 7.376 8.108 9.010 10.63 12.48 14.07 15.61 18.90 22.89 16 5.339 6.250 6.722 8.100 8.875 9.828 11.54 13.50 15.18 16.81 20.30 24.54 17 5.911 6.878 7.378 8.834 9.652 10.66 12.46 14.52 16.29 18.01 21.70 26.19 18 6.496 7.519 8.046 9.578 10.44 11.49 13.39 15.55 17.41 19.22 23.10 27.84 19 7.093 8.170 8.724 10.33 11.23 12.33 14.32 16.58 18.53 20.42 24.51 29.50 20 7.701 8.831 9.412 11.09 12.03 13.18 15.25 17.61 19.65 21.64 25.92 31.15 21 16.19 22.85 27.33 32.81 8.319 9.501 10.11 11.86 12.84 14.04 8.946 10.18 10.81 12.64 13.65 14.90 18.65 20.77 19.69 21.90 22 17.13 24.06 28.74 34.46 23 9.583 10.87 20.74 23.03 25.28 30.15 36.12 11.52 13.42 12.24 14.20 24 10.23 11.56 14.47 15.76 18.08 15.30 16.63 19.03 21.78 24.16 26.50 31.56 17.51 19.99 22.83 25.30 27.72 32.97 37.78 25 10.88 12.26 12.97 15.00 16.13 39.44 26 11.54 12.97 13.70 15.80 16.96 18.38 20.94 23.89 26.43 28.94 34.39 41.10 27 12.21 14.44 16.60 19.27 21.90 27.57 30.16 35.80 42.76 13.69 17.80 14.41 15.18 17.41 18.64 24.94 20.15 22.87 26.00 28 12.88 28.71 31.39 37.21 44.41 29 13.56 19.49 21.04 32.61 38.63 46.07 15.13 15.93 18.22 14.25 15.86 16.68 19.03 23.83 27.05 28.11 29.85 31.00 30 20.34 21.93 24.80 33.84 40.05 47.74 31 14.94 16.60 17.44 19.85 21.19 22.83 25.77 29.17 32.14 35.07 41.46 49.40 32 15.63 17.34 18.21 20.68 22.05 23.73 42.88 $1.06 33.28 36.30 31.30 34.43 37.52 21.51 24.63 44.30 52.72 33 16.34 18.09 18.97 34 17.04 35 17.75 22.91 23.77 25.53 24.64 26.44 1884 19.74 22.34 19.59 20.52 23.17 54.38 56.04 26.75 30.24 27.72 28.70 32.37 35.58 38.75 29.68 33.43 36.72 34.50 37.87 28.25 31.64 35.57 39.02 29.17 32.62 36.64 40.17 27.34 30.66 57.70 36 18.47 20.35 21.30 24.01 37 19.19 21.11 22.08 24.85 38 19.91 21.87 22.86 59.37 25.51 26.38 25.69 27.25 39 20.64 22.64 23.65 26.53 28.13 40 21.37 23.41 24.44 27.38 29.01 61.03 62.69 30.08 31.00 64.35 43.63 47.38 55.66 66.02 41 22.11 24.19 42 22.85 24.97 43 23.59 25.75 25.24 28.23 29.89 31.92 35.58 39.86 26.04 29.09 30.77 32.84 36.57 40.94 26.84 29.94 31.66 33.76 37.57 44.78 48.62 57.08 67.68 45.94 49.85 58.50 69.34 42.01 45.72 39.99 47.14 41.22 48.56 42.45 49.98 43.68 51.40 52.82 33.61 37.72 41.32 44.91 34.60 38.79 42.48 46.15 54.24
Erlang B Traffic Table Maximum Offered Load Versus B and N (B is in %) N/B 0.01 0.05 0.1 0.5 1.0 2 5 10 15 20 30 40 1 00
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Erlang B Traffic Table Maximum Offered Load Versus B and N (B is in %) N/B 0.01 0.05 0.1 0.5 1.0 2 5 10 15 20 30 40 1 00
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