Cellular Mobile Radio Systems: Designing Systems for Capacity Optimization

Husni Hammuda
Copyright © 1997 by John Wiley & Sons Ltd
Print ISBN 0-471-95641-4 Electronic ISBN 0-470-84254-9

Appendix B: Erlang B Table-

Blocked Calls Cleared Model

Table B.1 shows the amount of traffic (in Erlangs) carried by a given
number of channels n for different blocking probability values.

177
178 APPENDIX B: ERLANG B TABLE-BLOCKED CALLS CLEARED MODEL

Table B.1 Erlang B ModelÐBlocked Calls Cleared

(Offered Load) A in Erlangs

n PB (Blocking Probability)
0.01% 0.02% 0.03% 0.05% 0.1% 0.2% 0.3% 0.4% 0.5% 0.6% 0.7% 0.8% 0.9%

1 0.0001 0.0002 0.0003 0.0005 0.0010 0.0020 0.0030 0.0040 0.0050 0.0060 0.0070 0.0081 0.0091
2 0.0142 0.0202 0.0248 0.0321 0.0458 0.0653 0.0806 0.0937 0.105 0.116 0.126 0.135 0.1443
3 0.0868 0.110 0.127 0.152 0.194 0.249 0.289 0.321 0.349 0.374 0.397 0.418 0.4374
4 0.235 0.282 0.315 0.362 0.439 0.535 0.602 0.656 0.701 0.741 0.777 0.810 0.8415
5 0.452 0.527 0.577 0.649 0.762 0.900 0.994 1.07 1.13 1.19 1.24 1.28 1.326
6 0.728 0.832 0.900 0.996 1.15 1.33 1.45 1.54 1.62 1.69 1.75 1.81 1.867
7 1.05 1.19 1.27 1.39 1.58 1.80 1.95 2.06 2.16 2.24 2.31 2.38 2.448
8 1.42 1.58 1.69 1.83 2.05 2.31 2.48 2.62 2.73 2.83 2.91 2.99 3.069
9 1.83 2.01 2.13 2.30 2.56 2.85 3.05 3.21 3.33 3.44 3.54 3.63 3.7110
10 2.26 2.47 2.61 2.80 3.09 3.43 3.65 3.82 3.96 4.08 4.19 4.29 4.3811
11 2.72 2.96 3.12 3.33 3.65 4.02 4.27 4.45 4.61 4.74 4.86 4.97 5.07
12 3.21 3.47 3.65 3.88 4.23 4.64 4.90 5.11 5.28 5.43 5.55 5.67 5.78
13 3.71 4.01 4.19 4.45 4.83 5.27 5.56 5.78 5.96 6.12 6.26 6.39 6.50
14 4.24 4.56 4.76 5.03 5.45 5.92 6.23 6.47 6.66 6.83 6.98 7.12 7.24
15 4.78 5.12 5.34 5.63 6.08 6.58 6.91 7.17 7.38 7.56 7.71 7.86 7.99
16 5.34 5.70 5.94 6.25 6.72 7.26 7.61 7.88 8.10 8.29 8.46 8.61 8.75
17 5.91 6.30 6.55 6.88 7.38 7.95 8.32 8.60 8.83 9.03 9.21 9.37 9.52
18 6.50 6.91 7.17 7.52 8.05 8.64 9.03 9.33 9.58 9.79 9.98 10.1 10.3
19 7.09 7.53 7.80 8.17 8.72 9.35 9.76 10.1 10.3 10.6 10.7 10.9 11.1
20 7.70 8.16 8.44 8.83 9.41 10.1 10.5 10.8 11.1 11.3 11.5 11.7 11.9
21 8.32 8.79 9.10 9.50 10.1 10.8 11.2 11.6 11.9 12.1 12.3 12.5 12.7
22 8.95 9.44 9.76 10.2 10.8 11.5 12.0 12.3 12.6 12.9 13.1 13.3 13.5
23 9.58 10.1 10.4 10.9 11.5 12.3 12.7 13.1 13.4 13.7 13.9 14.1 14.3
24 10.2 10.8 11.1 11.6 12.2 13.0 13.5 13.9 14.2 14.5 14.7 14.9 15.1
25 10.9 11.4 11.8 12.3 13.0 13.8 14.3 14.7 15.0 15.3 15.5 15.7 15.9
26 11.5 12.1 12.5 13.0 13.7 14.5 15.1 15.5 15.8 16.1 16.3 16.6 16.8
27 12.2 12.8 13.2 13.7 14.4 15.3 15.8 16.3 16.6 16.9 17.2 17.4 17.6
28 12.9 13.5 13.9 14.4 15.2 16.1 16.6 17.1 17.4 17.7 18.0 18.2 18.4
29 13.6 14.2 14.6 15.1 15.9 16.8 17.4 17.9 18.2 18.5 18.8 19.1 19.3
30 14.2 14.9 15.3 15.9 16.7 17.6 18.2 18.7 19.0 19.4 19.6 19.9 20.1
31 14.9 15.6 16.0 16.6 17.4 18.4 19.0 19.5 19.9 20.2 20.5 20.7 21.0
32 15.6 16.3 16.8 17.3 18.2 19.2 19.8 20.3 20.7 21.0 21.3 21.6 21.8
33 16.3 17.0 17.5 18.1 19.0 20.0 20.6 21.1 21.5 21.9 22.2 22.4 22.7
34 17.0 17.8 18.2 18.8 19.7 20.8 21.4 21.9 22.3 22.7 23.0 23.3 23.5
35 17.8 18.5 19.0 19.6 20.5 21.6 22.2 22.7 23.2 23.5 23.8 24.1 24.4
36 18.5 19.2 19.7 20.3 21.3 22.4 23.1 23.6 24.0 24.4 24.7 25.0 25.3
37 19.2 20.0 20.5 21.1 22.1 23.2 23.9 24.4 24.8 25.2 25.6 25.9 26.1
38 19.9 20.7 21.2 21.9 22.9 24.0 24.7 25.2 25.7 26.1 26.4 26.7 27.0
39 20.6 21.5 22.0 22.6 23.7 24.8 25.5 26.1 26.5 26.9 27.3 27.6 27.9
40 21.4 22.2 22.7 23.4 24.4 25.6 26.3 26.9 27.4 27.8 28.1 28.5 28.7
41 22.1 23.0 23.5 24.2 25.2 26.4 27.2 27.8 28.2 28.6 29.0 29.3 29.6
42 22.8 23.7 24.2 25.0 26.0 27.2 28.0 28.6 29.1 29.5 29.9 30.2 30.5
43 23.6 24.5 25.0 25.7 26.8 28.1 28.8 29.4 29.9 30.4 30.7 31.1 31.4
44 24.3 25.2 25.8 26.5 27.6 28.9 29.7 30.3 30.8 31.2 31.6 31.9 32.3
45 25.1 26.0 26.6 27.3 28.4 29.7 30.5 31.1 31.7 32.1 32.5 32.8 33.1
46 25.8 26.8 27.3 28.1 29.3 30.5 31.4 32.0 32.5 33.0 33.4 33.7 34.0
47 26.6 27.5 28.1 28.9 30.1 31.4 32.2 32.9 33.4 33.8 34.2 34.6 34.9
48 27.3 28.3 28.9 29.7 30.9 32.2 33.1 33.7 34.2 34.7 35.1 35.5 35.8
49 28.1 29.1 29.7 30.5 31.7 33.0 33.9 34.6 35.1 35.6 36.0 36.4 36.7
50 28.9 29.9 30.5 31.3 32.5 33.9 34.8 35.4 36.0 36.5 36.9 37.2 37.6
0.01% 0.02% 0.03% 0.05% 0.1% 0.2% 0.3% 0.4% 0.5% 0.6% 0.7% 0.8% 0.9%
N B
 APPENDIX B: ERLANG B TABLE-BLOCKED CALLS CLEARED MODEL 179

Table B.1 (Continued)

(Offered Load) A in Erlangs

n PB
1.0% 1.2% 1.5% 2% 3% 5% 7% 10% 15% 20% 30% 40% 50%

1 0.0101 0.0121 0.0152 0.0204 0.0309 0.0526 0.753 0.111 0.176 0.250 0.429 0.667 1.00
2 0.153 0.168 0.190 0.223 0.282 0.381 0.470 0.595 0.796 1.00 1.45 2.00 2.73
3 0.455 0.489 0.535 0.602 0.715 0.899 1.06 1.27 1.60 1.93 2.63 3.48 4.59
4 0.869 0.922 0.992 1.09 1.26 1.52 1.75 2.05 2.50 2.95 3.89 5.02 6.50
5 1.36 1.43 1.52 1.66 1.88 2.22 2.50 2.88 3.45 4.01 5.19 6.60 8.44
6 1.91 2.00 2.11 2.28 2.54 2.96 3.30 3.76 4.44 5.11 6.51 8.19 10.4
7 2.50 2.60 2.74 2.94 3.25 3.74 4.14 4.67 5.46 6.23 7.86 9.80 12.4
8 3.13 3.25 3.40 3.63 3.99 4.54 5.00 5.60 6.50 7.37 9.21 11.4 14.3
9 3.78 3.92 4.09 4.34 4.75 5.37 5.88 6.55 7.55 8.52 10.6 13.0 16.3
10 4.46 4.61 4.81 5.08 5.53 6.22 6.78 7.51 8.62 9.68 12.0 14.7 18.3
11 5.16 5.32 5.54 5.84 6.33 7.08 7.69 8.49 9.69 10.9 13.3 16.3 20.3
12 5.88 6.05 6.29 6.61 7.14 7.95 8.61 9.47 10.8 12.0 14.7 18.0 22.2
13 6.61 6.80 7.05 7.40 7.97 8.83 9.54 10.5 11.9 13.2 16.1 19.6 24.2
14 7.35 7.56 7.82 8.20 8.80 9.73 10.5 11.5 13.0 14.4 17.5 21.2 26.2
15 8.11 8.33 8.61 9.01 9.65 10.6 11.4 12.5 14.1 15.6 18.9 22.9 28.2
16 8.88 9.11 9.41 9.83 10.5 11.5 12.4 13.5 15.2 16.8 20.3 24.5 30.2
17 9.65 9.89 10.2 10.7 11.4 12.5 13.4 14.5 16.3 18.0 21.7 26.2 32.2
18 10.4 10.7 11.0 11.5 12.2 13.4 14.3 15.5 17.4 19.2 23.1 27.8 34.2
19 11.2 11.5 11.8 12.3 13.1 14.3 15.3 16.6 18.5 20.4 24.5 29.5 36.2
20 12.0 12.3 12.7 13.2 14.0 15.2 16.3 17.6 19.6 21.6 25.9 31.2 38.2
21 12.8 13.1 13.5 14.0 14.9 16.2 17.3 18.7 20.8 22.8 27.3 32.8 40.2
22 13.7 14.0 14.3 14.9 15.8 17.1 18.2 19.7 21.9 24.1 28.7 34.5 42.1
23 14.5 14.8 15.2 15.8 16.7 18.1 19.2 20.7 23.0 25.3 30.1 36.1 44.1
24 15.3 15.6 16.0 16.6 17.6 19.0 20.2 21.8 24.2 26.5 31.6 37.8 46.1
25 16.1 16.5 16.9 17.5 18.5 20.0 21.2 22.8 25.3 27.7 33.0 39.4 48.1
26 17.0 17.3 17.8 18.4 19.4 20.9 22.2 23.9 26.4 28.9 34.4 41.1 50.1
27 17.8 18.2 18.6 19.3 20.3 21.9 23.2 24.9 27.6 30.2 35.8 42.8 52.1
28 18.6 19.0 19.5 20.2 21.2 22.9 24.2 26.0 28.7 31.4 37.2 44.4 54.1
29 19.5 19.9 20.4 21.0 22.1 23.8 25.2 27.1 29.9 32.6 38.6 46.1 56.1
30 20.3 20.7 21.2 21.9 23.1 24.8 26.2 28.1 31.0 33.8 40.0 47.7 58.1
31 21.2 21.6 22.1 22.8 24.0 25.8 27.2 29.2 32.1 35.1 41.5 49.4 60.1
32 22.0 22.5 23.0 23.7 24.9 26.7 28.2 30.2 33.3 36.3 42.9 51.1 62.1
33 22.9 23.3 23.9 24.6 25.8 27.7 29.3 31.3 34.4 37.5 44.3 52.7 64.1
34 23.8 24.2 24.8 25.5 26.8 28.7 30.3 32.4 35.6 38.8 45.7 54.4 66.1
35 24.6 25.1 25.6 26.4 27.7 29.7 31.3 33.4 36.7 40.0 47.1 56.0 68.1
36 25.5 26.0 26.5 27.3 28.6 30.7 32.3 34.5 37.9 41.2 48.6 57.7 70.1
37 26.4 26.8 27.4 28.3 29.6 31.6 33.3 35.6 39.0 42.4 50.0 59.4 72.1
38 27.3 27.7 28.3 29.2 30.5 32.6 34.4 36.6 40.2 43.7 51.4 61.0 74.1
39 28.1 28.6 29.2 30.1 31.5 33.6 35.4 37.7 41.3 44.9 52.8 62.7 76.1
40 29.0 29.5 30.1 31.0 32.4 34.6 36.4 38.8 42.5 46.1 54.2 64.4 78.1
41 29.9 30.4 31.0 31.9 33.4 35.6 37.4 39.9 43.6 47.4 55.7 66.0 80.1
42 30.8 31.3 31.9 32.8 34.3 36.6 38.4 40.9 44.8 48.6 57.1 67.7 82.1
43 31.7 32.2 32.8 33.8 35.3 37.6 39.5 42.0 45.9 49.9 58.5 69.3 84.1
44 32.5 33.1 33.7 34.7 36.2 38.6 40.5 43.1 47.1 51.1 59.9 71.0 86.1
45 33.4 34.0 34.6 35.6 37.2 39.6 41.5 44.2 48.2 52.3 61.3 72.7 88.1
46 34.3 34.9 35.6 36.5 38.1 40.5 42.6 45.2 49.4 53.6 62.8 74.3 90.1
47 35.2 35.8 36.5 37.5 39.1 41.5 43.6 46.3 50.6 54.8 64.2 76.0 92.1
48 36.1 36.7 37.4 38.4 40.0 42.5 44.6 47.4 51.7 56.0 65.6 77.7 94.1
49 37.0 37.6 38.3 39.3 41.0 43.5 45.7 48.5 52.9 57.3 67.0 79.3 96.1
50 37.9 38.5 39.2 40.3 41.9 44.5 46.7 49.6 54.0 58.5 68.5 81.0 98.1
1.0% 1.2% 1.5% 2% 3% 5% 7% 10% 15% 20% 30% 40% 50%
N B
180 APPENDIX B: ERLANG B TABLE-BLOCKED CALLS CLEARED MODEL

Table B.1 (Continued)

(Offered Load) A in Erlangs

n PB
0.01% 0.02% 0.03% 0.05% 0.1% 0.2% 0.3% 0.4% 0.5% 0.6% 0.7% 0.8% 0.9%

50 28.9 29.9 30.5 31.3 32.5 33.9 34.8 35.4 36.0 36.5 36.9 37.2 37.6
51 29.6 30.6 31.3 32.1 33.3 34.7 35.6 36.3 36.9 37.3 37.8 38.1 38.5
52 30.4 31.4 32.0 32.9 34.2 35.6 36.5 37.2 37.7 38.2 38.6 29.0 39.4
53 31.2 32.2 32.8 33.7 35.0 36.4 37.3 38.0 38.6 39.1 39.5 39.9 40.3
54 31.9 33.0 33.6 34.5 35.8 37.2 38.2 38.9 39.5 40.0 40.4 40.8 41.2
55 32.7 33.8 34.4 35.3 36.6 38.1 39.0 39.8 40.4 40.9 41.3 41.7 42.1
56 33.5 34.6 35.2 36.1 37.5 38.9 39.9 40.6 41.2 41.7 42.2 42.6 43.0
57 34.3 35.4 36.0 36.9 38.3 39.8 40.8 41.5 42.1 42.6 43.1 43.5 43.9
58 35.1 36.2 36.8 37.8 39.1 40.6 41.6 42.4 43.0 43.5 44.0 44.4 44.8
59 35.8 37.0 37.6 38.6 40.0 41.5 42.5 43.3 43.9 44.4 44.9 45.3 45.7
60 36.6 37.8 38.5 39.4 40.8 42.4 43.4 44.1 44.8 45.3 45.8 46.2 46.6
61 37.4 38.6 39.3 40.2 41.6 43.2 44.2 45.0 45.6 46.2 46.7 47.1 47.5
62 38.2 39.4 40.1 41.0 42.5 44.1 45.1 45.9 46.5 47.1 47.6 48.0 48.4
63 39.0 40.2 40.9 41.9 43.3 44.9 46.0 46.8 47.4 48.0 48.5 48.9 49.3
64 39.8 41.0 41.7 42.7 44.2 45.8 46.8 47.6 48.3 48.9 49.4 49.8 50.2
65 40.6 41.8 42.5 43.5 45.0 46.6 47.7 48.5 49.2 49.8 50.3 50.7 51.1
66 41.4 42.6 43.3 44.4 45.8 47.5 48.6 49.4 50.1 50.7 51.2 51.6 52.0
67 42.2 43.4 44.2 45.2 46.7 48.4 49.5 50.3 51.0 51.6 52.1 52.5 53.0
68 43.0 44.2 45.0 46.0 47.5 49.2 50.3 51.2 51.9 52.5 53.0 53.4 53.9
69 43.8 45.0 45.8 46.8 48.4 50.1 51.2 52.1 52.8 53.4 53.9 54.4 54.8
70 44.6 45.8 46.6 47.7 49.2 51.0 52.1 53.0 53.7 54.3 54.8 55.3 55.7
71 45.4 46.7 47.5 48.5 50.1 51.8 53.0 53.8 54.6 55.2 55.7 56.2 56.6
72 46.2 47.5 48.3 49.4 50.9 52.7 53.9 54.7 55.5 56.1 56.6 57.1 57.5
73 47.0 48.3 49.1 50.2 51.8 53.6 54.7 55.6 56.4 57.0 57.5 58.0 58.5
74 47.8 49.1 49.9 51.0 52.7 54.5 55.6 56.5 57.3 57.9 58.4 58.9 59.4
75 48.6 49.9 50.8 51.9 53.5 55.3 56.5 57.4 58.2 58.8 59.3 59.8 60.3
76 49.4 50.8 51.6 52.7 54.4 56.2 57.4 58.3 59.1 59.7 60.3 60.8 61.2
77 50.2 51.6 52.4 53.6 55.2 57.1 58.3 59.2 60.0 60.6 61.2 61.7 62.1
78 51.1 52.4 53.3 54.4 56.1 58.0 59.2 60.1 60.9 61.5 62.1 62.6 63.1
79 51.9 53.2 54.1 55.3 56.9 58.8 60.1 61.0 61.8 62.4 63.0 63.5 64.0
80 52.7 54.1 54.9 56.1 57.8 59.7 61.0 61.9 62.7 63.3 63.9 64.4 64.9
81 53.5 54.9 55.8 56.9 58.7 60.6 61.8 62.8 63.6 64.2 64.8 65.4 65.8
82 54.3 55.7 56.6 57.8 59.5 61.5 62.7 63.7 64.5 65.2 65.7 66.3 66.8
83 55.1 56.6 57.5 58.6 60.4 62.4 63.6 64.6 65.4 66.1 66.7 67.2 67.7
84 56.0 57.4 58.3 59.5 61.3 63.2 64.5 65.5 66.3 67.0 67.6 68.1 68.6
85 56.8 58.2 59.1 60.4 62.1 64.1 65.4 66.4 67.2 67.9 68.5 69.1 69.6
86 57.6 59.1 60.0 61.2 63.0 65.0 66.3 67.3 68.1 68.8 69.4 70.0 70.5
87 58.4 59.9 60.8 62.1 63.9 65.9 67.2 68.2 69.0 69.7 70.3 70.9 71.4
88 59.3 60.8 61.7 62.9 64.7 66.8 68.1 69.1 69.9 70.6 71.3 71.8 72.3
89 60.1 61.6 62.5 63.8 65.6 67.7 69.0 70.0 70.8 71.6 72.2 72.8 73.3
90 60.9 62.4 63.4 64.6 66.5 68.6 69.9 70.9 71.8 72.5 73.1 73.7 74.2
91 61.8 63.3 64.2 65.5 67.4 69.4 70.8 71.8 72.7 73.4 74.0 74.6 75.1
92 62.6 64.1 65.1 66.3 68.2 70.3 71.7 72.7 73.6 74.3 75.0 75.5 76.1
93 63.4 65.0 65.9 67.2 69.1 71.2 72.6 73.6 74.5 75.2 75.9 76.5 77.0
94 64.2 65.8 66.8 68.1 70.0 72.1 73.5 74.5 75.4 76.2 76.8 77.4 77.9
95 65.1 66.6 67.6 68.9 70.9 73.0 74.4 75.5 76.3 77.1 77.7 78.3 78.9
96 65.9 67.5 68.5 69.8 71.7 73.9 75.3 76.4 77.2 78.0 78.7 79.3 79.8
97 66.8 68.3 69.3 70.7 72.6 74.8 76.2 77.3 78.2 78.9 79.6 80.2 80.7
98 67.6 69.2 70.2 71.5 73.5 75.7 77.1 78.2 79.1 79.8 80.5 81.1 81.7
99 68.4 70.0 71.0 72.4 74.4 76.6 78.0 79.1 80.0 80.8 81.4 82.0 82.6
100 69.3 70.9 71.9 73.2 75.2 77.5 78.9 80.0 80.9 81.7 82.4 83.0 83.5
0.01% 0.02% 0.03% 0.05% 0.1% 0.2% 0.3% 0.4% 0.5% 0.6% 0.7% 0.8% 0.9%
N B
 APPENDIX B: ERLANG B TABLE-BLOCKED CALLS CLEARED MODEL 181

Table B.1 (Continued)

(Offered Load) A in Erlangs

n PB
1.0% 1.2% 1.5% 2% 3% 5% 7% 10% 15% 20% 30% 40% 50%

50 37.9 38.5 39.2 40.3 41.9 44.5 46.7 49.6 54.0 58.5 68.5 81.0 98.1
51 38.8 39.4 40.1 41.2 42.9 45.5 47.7 50.6 55.2 59.7 69.9 82.7 100.1
52 39.7 40.3 41.0 42.1 43.9 46.5 48.8 51.7 56.3 61.0 71.3 84.3 102.1
53 40.6 41.2 42.0 43.1 44.8 47.5 49.8 52.8 57.5 62.2 72.7 86.0 104.1
54 41.5 42.1 42.9 44.0 45.8 48.5 50.8 53.9 58.7 63.5 74.2 87.6 106.1
55 42.4 43.0 43.8 44.9 46.7 49.5 51.9 55.0 59.8 64.7 75.6 89.3 108.1
56 43.3 43.9 44.7 45.9 47.7 50.5 52.9 56.1 61.0 65.9 77.0 91.0 110.1
57 44.2 44.8 45.7 46.8 48.7 51.5 53.9 57.1 62.1 67.2 78.4 92.6 112.1
58 45.1 45.8 46.6 47.8 49.6 52.6 55.0 58.2 63.3 68.4 79.8 94.3 114.1
59 46.0 46.7 47.5 48.7 50.6 53.6 56.0 59.3 64.5 69.7 81.3 96.0 116.1
60 46.9 47.6 48.4 49.6 51.6 54.6 57.1 60.4 65.6 70.9 82.7 97.6 118.1
61 47.9 48.5 49.4 50.6 52.5 55.6 58.1 61.5 66.8 72.1 84.1 99.3 120.1
62 48.8 49.4 50.3 51.5 53.5 56.6 59.1 62.6 68.0 73.4 85.5 101.0 122.1
63 49.7 50.4 51.2 52.5 54.5 57.6 60.2 63.7 69.1 74.6 87.0 102.6 124.1
64 50.6 51.3 52.2 53.4 55.4 58.6 61.2 64.8 70.3 75.9 88.4 104.3 126.1
65 51.5 52.2 53.1 54.4 56.4 59.6 62.3 65.8 71.4 77.1 89.8 106.0 128.1
66 52.4 53.1 54.0 55.3 57.4 60.6 63.3 66.9 72.6 78.3 91.2 107.6 130.1
67 53.4 54.1 55.0 56.3 58.4 61.6 64.4 68.0 73.8 79.6 92.7 109.3 132.1
68 54.3 55.0 55.9 57.2 59.3 62.6 65.4 69.1 74.9 80.8 94.1 111.0 134.1
69 55.2 55.9 56.9 58.2 60.3 63.7 66.4 70.2 76.1 82.1 95.5 112.6 136.1
70 56.1 56.8 57.8 59.1 61.3 64.7 67.5 71.3 77.3 83.3 96.9 114.3 138.1
71 57.0 57.8 58.7 60.1 62.3 65.7 68.5 72.4 78.4 84.6 98.4 115.9 140.1
72 58.0 58.7 59.7 61.0 63.2 66.7 69.6 73.5 79.6 85.8 99.8 117.6 142.1
73 58.9 59.6 60.6 62.0 64.2 67.7 70.6 74.6 80.8 87.0 101.2 119.3 144.1
74 59.8 60.6 61.6 62.9 65.2 68.7 71.7 75.6 81.9 88.3 102.7 120.9 146.1
75 60.7 61.5 62.5 63.9 66.2 69.7 72.7 76.7 83.1 89.5 104.1 122.6 148.0
76 61.7 62.4 63.4 64.9 67.2 70.8 73.8 77.8 84.2 90.8 105.5 124.3 150.0
77 62.6 63.4 64.4 65.8 68.1 71.8 74.8 78.9 85.4 92.0 106.9 125.9 152.0
78 63.5 64.3 65.3 66.8 69.1 72.8 75.9 80.0 86.6 93.3 108.4 127.6 154.0
79 64.4 65.2 66.3 67.7 70.1 73.8 76.9 81.1 87.7 94.5 109.8 129.3 156.0
80 65.4 66.2 67.2 68.7 71.1 74.8 78.0 82.2 88.9 95.7 111.2 130.9 158.0
81 66.3 67.1 68.2 69.6 72.1 75.8 79.0 83.3 90.1 97.0 112.6 132.6 160.0
82 67.2 68.0 69.1 70.6 73.0 76.9 80.1 84.4 91.2 98.2 114.1 134.3 162.0
83 68.2 69.0 70.1 71.6 74.0 77.9 81.1 85.5 92.4 99.5 115.5 135.9 164.0
84 69.1 69.9 71.0 72.5 75.0 78.9 82.2 86.6 93.6 100.7 116.9 137.6 166.0
85 70.0 70.9 71.9 73.5 76.0 79.9 83.2 87.7 94.7 102.0 118.3 139.3 168.0
86 70.9 71.8 72.9 74.5 77.0 80.9 84.3 88.8 95.9 103.2 119.8 140.9 170.0
87 71.9 72.7 73.8 75.4 78.0 82.0 85.3 89.9 97.1 104.5 121.2 142.6 172.0
88 72.8 73.7 74.8 76.4 78.9 83.0 86.4 91.0 98.2 105.7 122.6 144.3 174.0
89 73.7 74.6 75.7 77.3 79.9 84.0 87.4 92.1 99.4 106.9 124.0 145.9 176.0
90 74.7 75.6 76.7 78.3 80.9 85.0 88.5 93.1 100.6 108.2 125.5 147.6 178.0
91 75.6 76.5 77.6 79.3 81.9 86.0 89.5 94.2 101.7 109.4 126.9 149.3 180.0
92 76.6 77.4 78.6 80.2 82.9 87.1 90.6 95.3 102.9 110.7 128.3 150.9 182.0
93 77.5 78.4 79.6 81.2 83.9 88.1 91.6 96.4 104.1 111.9 129.7 152.6 184.0
94 78.4 79.3 80.5 82.2 84.9 89.1 92.7 97.5 105.3 113.2 131.2 154.3 186.0
95 79.4 80.3 81.5 83.1 85.8 90.1 93.7 98.6 106.4 114.4 132.6 155.9 188.0
96 80.3 81.2 82.4 84.1 86.8 91.1 94.8 99.7 107.6 115.7 134.0 157.6 190.0
97 81.2 82.2 83.4 85.1 87.8 92.2 95.8 100.8 108.8 116.9 135.5 159.3 192.0
98 82.2 83.1 84.3 86.0 88.8 93.2 96.9 101.9 109.9 118.2 136.9 160.9 194.0
99 83.1 84.1 85.3 87.0 89.8 94.2 97.9 103.0 111.1 119.4 138.3 162.6 196.0
100 84.1 85.0 86.2 88.0 90.8 95.2 99.0 104.1 112.3 120.6 139.7 164.3 198.0
1.0% 1.2% 1.5% 2% 3% 5% 7% 10% 15% 20% 30% 40% 50%
N B
182 APPENDIX B: ERLANG B TABLE-BLOCKED CALLS CLEARED MODEL

Table B.1 (Continued)

(Offered Load) A in Erlangs

n PB
0.01% 0.02% 0.03% 0.05% 0.1% 0.2% 0.3% 0.4% 0.5% 0.6% 0.7% 0.8% 0.9%

100 69.3 70.9 71.9 73.2 75.2 77.5 78.9 80.0 80.9 81.7 82.4 83.0 83.5
102 70.9 72.6 73.6 75.0 77.0 79.3 80.7 81.8 82.7 83.5 84.2 84.8 85.4
104 72.6 74.3 75.3 76.7 78.8 81.1 82.5 83.7 84.6 85.4 86.1 86.7 87.3
106 74.3 76.0 77.1 78.5 80.5 82.8 84.3 85.5 86.4 87.2 87.9 88.6 89.2
108 76.0 77.7 78.8 80.2 82.3 84.6 86.2 87.3 88.3 89.1 89.8 90.5 91.1
110 77.7 79.4 80.5 81.9 84.1 86.4 88.0 89.2 90.1 90.9 91.7 92.3 92.9
112 79.4 81.1 82.2 83.7 85.8 88.3 89.8 91.0 92.0 92.8 93.5 94.2 94.8
114 81.1 82.9 84.0 85.4 87.6 90.1 91.6 92.8 93.8 94.7 95.4 96.1 96.7
116 82.8 84.6 85.7 87.2 89.4 91.9 93.5 94.7 95.7 96.5 97.3 98.0 98.6
118 84.5 86.3 87.4 89.0 91.2 93.7 95.3 96.5 97.5 98.4 99.2 99.9 100.5
120 86.2 88.0 89.2 90.7 93.0 95.5 97.1 98.4 99.4 100.3 101.0 101.7 102.4
122 87.9 89.8 90.9 92.5 94.7 97.3 98.9 100.2 101.2 102.1 102.9 103.6 104.3
124 89.6 91.5 92.7 94.2 96.5 99.1 100.8 102.1 103.1 104.0 104.8 105.5 106.2
126 91.3 93.2 94.4 96.0 98.3 100.9 102.6 103.9 105.0 105.9 106.7 107.4 108.1
128 93.1 95.0 96.2 97.8 100.1 102.7 104.5 105.8 106.8 107.7 108.5 109.3 109.9
130 94.8 96.7 97.9 99.5 101.9 104.6 106.3 107.6 108.7 109.6 110.4 111.2 111.8
132 96.5 98.5 99.7 101.3 103.7 106.4 108.1 109.5 110.5 111.5 112.3 113.1 113.7
134 98.2 100.2 101.4 103.1 105.5 108.2 110.0 111.3 112.4 113.4 114.2 115.0 115.6
136 100.0 101.9 103.2 104.9 107.3 110.0 111.8 113.2 114.3 115.2 116.1 116.8 117.5
138 101.7 103.7 105.0 106.6 109.1 111.9 113.7 115.0 116.2 117.1 118.0 118.7 119.4
140 103.4 105.4 106.7 108.4 110.9 113.7 115.5 116.9 118.0 119.0 119.9 120.6 121.4
142 105.1 107.2 108.5 110.2 112.7 115.5 117.4 118.7 119.9 120.9 121.8 122.5 123.3
144 106.9 109.0 110.2 112.0 114.5 117.4 119.2 120.6 121.8 122.8 123.6 124.4 125.2
146 108.6 110.7 112.0 113.8 116.3 119.2 121.1 122.5 123.6 124.6 125.5 126.3 127.1
148 110.4 112.5 113.8 115.5 118.1 121.0 122.9 124.3 125.5 126.5 127.4 128.2 129.0
150 112.1 114.2 115.6 117.3 119.9 122.9 124.8 126.2 127.4 128.4 129.3 130.1 130.9
152 113.8 116.0 117.3 119.1 121.8 124.7 126.6 128.1 129.3 130.3 131.2 132.0 132.8
154 115.6 117.8 119.1 120.9 123.6 126.5 128.5 129.9 131.2 132.2 133.1 133.9 134.7
156 117.3 119.5 120.9 122.7 125.4 128.4 130.3 131.8 133.0 134.1 135.0 135.9 136.6
158 119.1 121.3 122.7 124.5 127.2 130.2 132.2 133.7 134.9 136.0 136.9 137.8 138.5
160 120.8 123.1 124.4 126.3 129.0 132.1 134.0 135.6 136.8 137.9 138.8 139.7 140.4
162 122.6 124.8 126.2 128.1 130.8 133.9 135.9 137.4 138.7 139.8 140.7 141.6 142.4
164 124.3 126.6 128.0 129.9 132.7 135.8 137.8 139.3 140.6 141.7 142.6 143.5 144.3
166 126.1 128.4 129.8 131.7 134.5 137.6 139.6 141.2 142.5 143.5 144.5 145.4 146.2
168 127.9 130.2 131.6 133.5 136.3 139.4 141.5 143.1 144.3 145.4 146.4 147.3 148.1
170 129.6 131.9 133.4 135.3 138.1 141.3 143.4 144.9 146.2 147.3 148.3 149.2 150.0
172 131.4 133.7 135.2 137.1 139.9 143.1 145.2 146.8 148.1 149.2 150.2 151.1 151.9
174 133.1 135.5 136.9 138.9 141.8 145.0 147.1 148.7 150.0 151.1 152.1 153.0 153.9
176 134.9 137.3 138.7 140.7 143.6 146.9 149.0 150.6 151.9 153.0 154.0 155.0 155.8
178 136.7 139.0 140.5 142.5 145.4 148.7 150.8 152.4 153.8 154.9 156.0 156.9 157.7
180 138.4 140.8 142.3 144.3 147.3 150.6 152.7 154.3 155.7 156.8 157.9 158.8 159.6
182 140.2 142.6 144.1 146.1 149.1 152.4 154.6 156.2 157.6 158.7 159.8 160.7 161.6
184 142.0 144.4 145.9 147.9 150.9 154.3 156.4 158.1 159.5 160.6 161.7 162.6 163.5
186 143.7 146.2 147.7 149.8 152.8 156.1 158.3 160.0 161.4 162.5 163.6 164.5 165.4
188 145.5 148.0 149.5 151.6 154.6 158.0 160.2 161.9 163.3 164.4 165.5 166.5 167.3
190 147.3 149.8 151.3 153.4 156.4 159.8 162.1 163.8 165.2 166.4 167.4 168.4 169.3
192 149.1 151.6 153.1 155.2 158.3 161.7 163.9 165.6 167.0 168.3 169.3 170.3 171.2
194 150.8 153.4 154.9 157.0 160.1 163.6 165.8 167.5 168.9 170.2 171.2 172.2 173.1
196 152.6 155.2 156.7 158.8 161.9 165.4 167.7 169.4 170.8 172.1 173.2 174.1 175.0
198 154.4 156.9 158.5 160.7 163.8 167.3 169.6 171.3 172.7 174.0 175.1 176.1 177.0
200 156.2 158.7 160.3 162.5 165.6 169.2 171.4 173.2 174.6 175.9 177.0 178.0 178.9
0.01% 0.02% 0.03% 0.05% 0.1% 0.2% 0.3% 0.4% 0.5% 0.6% 0.7% 0.8% 0.9%
N B
 APPENDIX B: ERLANG B TABLE-BLOCKED CALLS CLEARED MODEL 183

Table B.1 (Continued)

(Offered Load) A in Erlangs

n PB
1.0% 1.2% 1.5% 2% 3% 5% 7% 10% 15% 20% 30% 40% 50%

100 84.1 85.0 86.2 88.0 90.8 95.2 99.0 104.1 112.3 120.6 139.7 164.3 198.0
102 85.9 86.9 88.1 89.9 92.8 97.3 101.1 106.3 114.6 123.1 142.6 167.6 202.0
104 87.8 88.8 90.1 91.9 94.8 99.3 103.2 108.5 116.9 125.6 145.4 170.9 206.0
106 89.7 90.7 92.0 93.8 96.7 101.4 105.3 110.7 119.3 128.1 148.3 174.2 210.0
108 91.6 92.6 93.9 95.7 98.7 103.4 107.4 112.9 121.6 130.6 151.1 177.6 214.0
110 93.5 94.5 95.8 97.7 100.7 105.5 109.5 115.1 124.0 133.1 154.0 180.9 218.0
112 95.4 96.4 97.7 99.6 102.7 107.5 111.7 117.3 126.3 135.6 156.9 184.2 222.0
114 97.3 98.3 99.7 101.6 104.7 109.6 113.8 119.5 128.6 138.1 159.7 187.6 226.0
116 99.2 100.2 101.6 103.5 106.7 111.7 115.9 121.7 131.0 140.6 162.6 190.9 230.0
118 101.1 102.1 103.5 105.5 108.7 113.7 118.0 123.9 133.3 143.1 165.4 194.2 234.0
120 103.0 104.0 105.4 107.4 110.7 115.8 120.1 126.1 135.7 145.6 168.3 197.6 238.0
122 104.9 105.9 107.4 109.4 112.6 117.8 122.2 128.3 138.0 148.1 171.1 200.9 242.0
124 106.8 107.9 109.3 111.3 114.6 119.9 124.4 130.5 140.3 150.6 174.0 204.2 246.0
126 108.7 109.8 111.2 113.3 116.6 121.9 126.5 132.7 142.7 153.0 176.8 207.6 250.0
128 110.6 111.7 113.2 115.2 118.6 124.0 128.6 134.9 145.0 155.5 179.7 210.9 254.0
130 112.5 113.6 115.1 117.2 120.6 126.1 130.7 137.1 147.4 158.0 182.5 214.2 258.0
132 114.4 115.5 117.0 119.1 122.6 128.1 132.8 139.3 149.7 160.5 185.4 217.6 262.0
134 116.3 117.4 119.0 121.1 124.6 130.2 134.9 141.5 152.0 163.0 188.3 220.9 266.0
136 118.2 119.4 120.9 123.1 126.6 132.3 137.1 143.7 154.4 165.5 191.1 224.2 270.0
138 120.1 121.3 122.8 125.0 128.6 134.3 139.2 145.9 156.7 168.0 194.0 227.6 274.0
140 122.0 123.2 124.8 127.0 130.6 136.4 141.3 148.1 159.1 170.5 196.8 230.9 278.0
142 123.9 125.1 126.7 128.9 132.6 138.4 143.4 150.3 161.4 173.0 199.7 234.2 282.0
144 125.8 127.0 128.6 130.9 134.6 140.5 145.6 152.5 163.8 175.5 202.5 237.6 286.0
146 127.7 129.0 130.6 132.9 136.6 142.6 147.7 154.7 166.1 178.0 205.4 240.9 290.0
148 129.7 130.9 132.5 134.8 138.6 144.6 149.8 156.9 168.5 180.5 208.2 244.2 294.0
150 131.6 132.8 134.5 136.8 140.6 146.7 151.9 159.1 170.8 183.0 211.1 247.6 298.0
152 133.5 134.8 136.4 138.8 142.6 148.8 154.0 161.3 173.1 185.5 214.0 250.9 302.0
154 135.4 136.7 138.4 140.7 144.6 150.8 156.2 163.5 175.5 188.0 216.8 254.2 306.0
156 137.3 138.6 140.3 142.7 146.6 152.9 158.3 165.7 177.8 190.5 219.7 257.6 310.0
158 139.2 140.5 142.3 144.7 148.6 155.0 160.4 167.9 180.2 193.0 222.5 260.9 314.0
160 141.2 142.5 144.2 146.6 150.6 157.0 162.5 170.2 182.5 195.5 225.4 264.2 318.0
162 143.1 144.4 146.1 148.6 152.7 159.1 164.7 172.4 184.9 198.0 228.2 267.6 322.0
164 145.0 146.3 148.1 150.6 154.7 161.2 166.8 174.6 187.2 200.4 231.1 270.9 326.0
166 146.9 148.3 150.0 152.0 156.7 163.3 168.9 176.8 189.6 202.9 233.9 274.2 330.0
168 148.9 150.2 152.0 154.5 158.7 165.3 171.0 179.0 191.9 205.4 236.8 277.6 334.0
170 150.8 152.1 153.9 156.5 160.7 167.4 173.2 181.2 194.2 207.9 239.7 280.9 338.0
172 152.7 154.1 155.9 158.5 162.7 169.5 175.3 183.4 196.6 210.4 242.5 284.2 342.0
174 154.6 156.0 157.8 160.4 164.7 171.5 177.4 185.6 198.9 212.9 245.4 287.6 346.0
176 156.6 158.0 159.8 162.4 166.7 173.6 179.6 187.8 201.3 215.4 248.2 290.9 350.0
178 158.5 159.9 161.8 164.4 168.7 175.7 181.7 190.0 203.6 217.9 251.1 294.2 354.0
180 160.4 161.8 163.7 166.4 170.7 177.8 183.8 192.2 206.0 220.4 253.9 297.5 358.0
182 162.3 163.8 165.7 168.3 172.8 179.8 185.9 194.4 208.3 222.9 256.8 300.9 362.0
184 164.3 165.7 167.6 170.3 174.8 181.9 188.1 196.6 210.7 225.4 259.6 304.2 366.0
186 166.2 167.7 169.6 172.3 176.8 184.0 190.2 198.9 213.0 227.9 262.5 307.5 370.0
188 168.1 169.6 171.5 174.3 178.8 186.1 192.3 201.1 215.4 230.4 265.4 310.9 374.0
190 170.1 171.5 173.5 176.5 180.8 188.1 194.5 203.3 217.7 232.9 268.2 314.2 378.0
192 172.0 173.5 175.4 178.2 182.8 190.2 196.6 205.5 220.1 235.4 271.1 317.5 382.0
194 173.9 175.4 177.4 180.2 184.8 192.3 198.7 207.7 222.4 237.9 273.9 320.9 386.0
196 175.9 177.4 179.4 182.2 186.9 194.4 200.8 209.9 224.8 240.4 276.8 324.2 390.0
198 177.8 179.3 181.3 184.2 188.9 196.4 203.0 212.1 227.1 242.9 279.6 327.5 394.0
200 179.7 181.3 183.3 186.2 190.9 198.5 205.1 214.3 229.4 245.4 282.5 330.9 398.0
1.0% 1.2% 1.5% 2% 3% 5% 7% 10% 15% 20% 30% 40% 50%
N B
184 APPENDIX B: ERLANG B TABLE-BLOCKED CALLS CLEARED MODEL

Table B.1 (Continued)

(Offered Load) A in Erlangs

n PB
0.01% 0.02% 0.03% 0.05% 0.1% 0.2% 0.3% 0.4% 0.5% 0.6% 0.7% 0.8% 0.9%

200 156.2 158.7 160.3 162.5 165.6 169.2 171.4 173.2 174.6 175.9 177.0 178.0 178.9
202 158.0 160.5 162.1 164.3 167.5 171.0 173.3 175.1 176.5 177.8 178.9 179.9 180.8
204 159.7 162.3 164.0 166.1 169.3 172.9 175.2 177.0 178.4 179.7 180.8 181.8 182.8
206 161.5 164.1 165.8 167.9 171.2 174.8 177.1 178.9 180.4 181.6 182.7 183.8 184.7
208 163.3 165.9 167.6 169.8 173.0 176.6 179.0 180.8 182.3 183.5 184.7 185.7 186.6
210 165.1 167.7 169.4 171.6 174.8 178.5 180.9 182.7 184.2 185.4 186.6 187.6 188.6
212 166.9 169.5 171.2 173.4 176.7 180.4 182.7 184.6 186.1 187.4 188.5 189.5 190.5
214 168.7 171.3 173.0 175.2 178.5 182.2 184.6 186.5 188.0 189.3 190.4 191.5 192.4
216 170.5 173.2 174.8 177.1 180.4 184.1 186.5 188.4 189.9 191.2 192.3 193.4 194.4
218 172.3 175.0 176.6 178.9 182.2 186.0 188.4 190.2 191.8 193.1 194.3 195.3 196.3
220 174.0 176.8 178.5 180.7 184.1 187.8 190.3 192.1 193.7 195.0 196.2 197.2 198.2
222 175.8 178.6 180.3 182.6 185.9 189.7 192.2 194.0 195.6 196.9 198.1 199.2 200.2
224 177.6 180.4 182.1 184.4 187.8 191.6 194.1 195.9 197.5 198.8 200.0 201.1 202.1
226 179.4 182.2 183.9 186.2 189.6 193.5 195.9 197.8 199.4 200.8 202.0 203.0 204.0
228 181.2 184.0 185.7 188.1 191.5 195.3 197.8 199.7 201.3 202.7 203.9 205.0 206.0
230 183.0 185.8 187.6 189.9 193.3 197.2 199.7 201.6 203.2 204.6 205.8 206.9 207.9
232 184.8 187.6 189.4 191.7 195.2 199.1 201.6 203.5 205.1 206.5 207.7 208.8 209.8
234 186.6 189.4 191.2 193.6 197.1 201.0 203.5 205.4 207.1 208.4 209.7 210.8 211.8
236 188.4 191.3 193.0 195.4 198.9 202.8 205.4 207.4 209.0 210.4 211.6 212.7 213.7
238 190.2 193.1 194.9 197.2 200.8 204.7 207.3 209.3 210.9 212.3 213.5 214.6 215.7
240 192.0 194.9 196.7 199.1 202.6 206.6 209.2 211.2 212.8 214.2 215.4 216.6 217.6
242 193.8 196.7 198.5 200.9 204.5 208.5 211.1 213.1 214.7 216.1 217.4 218.5 219.5
244 195.6 198.5 200.3 202.8 206.3 210.4 213.0 215.0 216.6 218.0 219.3 220.4 221.5
246 197.4 200.3 202.2 204.6 208.2 212.2 214.9 216.9 218.5 220.0 221.2 222.4 223.4
248 199.2 202.2 204.0 206.4 210.1 214.1 216.8 218.8 220.4 221.9 223.2 224.3 225.4
250 201.0 204.0 205.8 208.3 211.9 216.0 218.7 220.7 222.4 223.8 225.1 226.2 227.3
0.908 0.914 0.920 0.926 0.934 0.944 0.950 0.956 0.960 0.964 0.968 0.972 0.974
300 246.4 249.7 251.8 254.6 258.6 263.2 266.2 268.5 270.4 272.0 273.5 274.8 276.0
0.918 0.924 0.928 0.932 0.942 0.952 0.958 0.962 0.966 0.970 0.972 0.976 0.978
350 292.3 295.9 298.2 301.2 305.7 310.8 314.1 316.6 318.7 320.5 322.1 323.6 324.9
0.922 0.928 0.932 0.938 0.946 0.954 0.960 0.966 0.970 0.972 0.976 0.978 0.982
400 338.4 342.3 344.8 348.1 353.0 358.5 362.1 364.9 367.2 369.1 370.9 372.5 374.0
0.928 0.934 0.938 0.942 0.950 0.958 0.964 0.968 0.972 0.976 0.978 0.982 0.984
450 384.8 389.0 391.7 395.2 400.5 406.4 410.3 413.3 415.8 417.9 419.8 421.6 423.2
0.932 0.938 0.942 0.946 0.954 0.962 0.968 0.972 0.974 0.978 0.982 0.982 0.984
500 431.4 435.9 438.8 442.5 448.2 454.5 458.7 461.9 464.5 466.8 468.9 470.7 472.4
0.938 0.943 0.946 0.951 0.957 0.965 0.970 0.974 0.978 0.981 0.983 0.986 0.989
600 525.2 530.2 533.4 537.6 543.9 551.0 555.7 559.3 562.3 564.9 567.2 569.3 571.3
0.943 0.948 0.951 0.956 0.962 0.969 0.974 0.978 0.981 0.984 0.986 0.989 0.990
700 619.5 625.0 628.5 633.2 640.1 647.9 653.1 657.1 660.4 663.3 665.8 668.2 670.3
0.948 0.953 0.955 0.959 0.965 0.972 0.976 0.980 0.983 0.985 0.989 0.990 0.993
800 714.3 720.3 724.0 729.1 736.6 745.1 750.7 755.1 758.7 761.8 764.7 767.2 769.6
0.951 0.955 0.959 0.962 0.967 0.974 0.979 0.982 0.985 0.988 0.990 0.993 0.994
900 809.4 815.8 819.9 825.3 833.3 842.5 848.6 853.3 857.2 860.6 863.7 866.5 869.0
0.954 0.959 0.961 0.964 0.970 0.976 0.980 0.984 0.987 0.989 0.991 0.993 0.996
1000 904.8 911.7 916.0 921.7 930.3 940.1 946.6 951.7 955.9 959.5 962.8 965.8 968.6
0.962 0.963 0.960 0.963 0.977 0.979 0.984 0.983 0.991 0.995 0.992 0.992 0.994
1100 1001. 1008. 1012. 1018. 1028. 1038. 1045. 1050. 1055. 1059. 1062. 1065. 1068.
0.01% 0.02% 0.03% 0.05% 0.1% 0.2% 0.3% 0.4% 0.5% 0.6% 0.7% 0.8% 0.9%
N B
 APPENDIX B: ERLANG B TABLE-BLOCKED CALLS CLEARED MODEL 185

Table B.1 (Continued)

(Offered Load) A in Erlangs

n PB
1.0% 1.2% 1.5% 2% 3% 5% 7% 10% 15% 20% 30% 40% 50%

200 179.7 181.3 183.3 186.2 190.9 198.5 205.1 214.3 229.4 245.4 282.5 330.9 398.0
202 181.7 183.2 185.2 188.1 192.9 200.6 207.2 216.5 231.8 247.9 285.4 334.2 402.0
204 183.6 185.2 187.2 190.1 194.9 202.7 209.4 218.7 234.1 250.4 288.2 337.5 406.0
206 185.5 187.1 189.2 192.1 196.9 204.7 211.5 221.0 236.5 252.9 291.1 340.9 410.0
208 187.5 189.1 191.1 194.1 199.0 206.8 213.6 223.2 238.8 255.4 293.9 344.2 414.0
210 189.4 191.0 193.1 196.1 201.0 208.9 215.8 225.4 241.2 257.9 296.8 347.5 418.0
212 191.4 193.0 195.1 198.1 203.0 211.0 217.9 227.6 243.5 260.4 299.6 350.9 422.0
214 193.3 194.9 197.0 200.0 205.0 213.0 220.0 229.8 245.9 262.9 302.5 354.2 426.0
216 195.2 196.9 199.0 202.0 207.0 215.1 222.2 232.0 248.2 265.4 305.3 357.5 430.0
218 197.2 198.8 201.0 204.0 209.1 217.2 224.3 234.2 250.6 267.9 308.2 360.9 434.0
220 199.1 200.8 202.9 206.0 211.1 219.3 226.4 236.4 252.9 270.4 311.1 364.2 438.0
222 201.1 202.7 204.9 208.0 213.1 221.4 228.6 238.6 255.3 272.9 313.9 367.5 442.0
224 203.0 204.7 206.8 210.0 215.1 223.4 230.7 240.9 257.6 275.4 316.8 370.9 446.0
226 204.9 206.6 208.8 212.0 217.1 225.5 232.8 243.1 260.0 277.8 319.6 374.2 450.0
228 206.9 208.6 210.8 213.9 219.2 227.6 235.0 245.3 262.3 280.3 322.5 377.5 454.0
230 208.8 210.5 212.8 215.9 221.2 229.7 237.1 247.5 264.7 282.8 325.3 380.9 458.0
232 210.8 212.5 214.7 217.9 223.2 231.8 239.2 249.7 267.0 285.3 328.2 384.2 462.0
234 212.7 214.4 216.7 219.9 225.2 233.8 241.4 251.9 269.4 287.8 331.1 387.5 466.0
236 214.7 216.4 218.7 221.9 227.2 235.9 243.5 254.1 271.7 290.3 333.9 390.9 470.0
238 216.6 218.3 220.6 223.9 229.3 238.0 245.6 256.3 274.1 292.8 336.8 394.2 474.0
240 218.6 220.3 222.6 225.9 231.3 240.1 247.8 258.6 276.4 295.3 339.6 397.5 478.0
242 220.5 222.3 224.6 227.9 233.3 242.2 249.9 260.8 278.8 297.8 342.5 400.9 482.0
244 222.5 224.2 226.5 229.9 235.3 244.3 252.0 263.0 281.1 300.3 345.3 404.2 486.0
246 224.4 226.2 228.5 231.8 237.4 246.3 254.2 265.2 283.4 302.8 348.2 407.5 490.0
248 226.3 228.1 230.5 233.8 239.4 248.4 256.3 267.4 285.8 305.3 351.0 410.9 494.0
250 228.3 230.1 232.5 235.8 241.4 250.5 258.4 269.6 288.1 307.8 353.9 414.2 498.0
0.976 0.982 0.988 0.998 1.014 1.042 1.070 1.108 1.176 1.250 1.428 1.666 2.000
300 277.1 279.2 281.9 285.7 292.1 302.6 311.9 325.0 346.9 370.3 425.3 497.5 598.0
0.982 0.984 0.990 1.000 1.016 1.044 1.070 1.108 1.174 1.248 1.428 1.668 2.000
350 326.2 328.4 331.4 335.7 342.9 354.8 365.4 380.4 405.6 432.7 496.7 580.9 698.0
0.982 0.988 0.994 1.004 1.020 1.046 1.070 1.108 1.176 1.250 1.430 1.666 2.000
400 375.3 377.8 381.1 385.9 393.9 407.1 418.9 435.8 464.4 495.2 568.2 664.2 798.0
0.986 0.990 0.996 1.004 1.018 1.046 1.072 1.110 1.176 1.250 1.428 1.666 2.000
450 424.6 427.3 430.9 436.1 444.8 459.4 472.5 491.3 523.2 557.7 639.6 747.5 898.0
0.988 0.994 0.998 1.006 1.022 1.048 1.070 1.108 1.176 1.250 1.428 1.668 2.000
500 474.0 477.0 480.8 486.4 495.9 511.8 526.0 546.7 582.0 620.2 711.0 830.9 998.0
0.991 0.994 1.000 1.008 1.022 1.047 1.073 1.110 1.176 1.249 1.429 1.666 2.000
600 573.1 576.4 580.8 587.2 598.1 616.5 633.3 657.7 699.6 745.1 853.9 997.5 1198.
0.993 0.997 1.002 1.010 1.024 1.049 1.073 1.110 1.176 1.250 1.428 1.665 2.00
700 672.4 676.1 681.0 688.2 700.5 721.4 740.6 768.7 817.2 870.1 996.7 1164. 1398.
0.994 0.998 1.004 1.011 1.025 1.050 1.073 1.110 1.176 1.250 1.433 1.67 2.00
800 771.8 775.9 781.4 789.3 803.0 826.4 847.9 879.7 934.8 995.1 1140. 1331. 1598.
0.997 1.000 1.004 1.013 1.025 1.050 1.074 1.111 1.172 1.249 1.42 1.67 2.00
900 871.5 875.9 881.8 890.6 905.5 931.4 955.3 990.8 1052. 1120. 1282. 1498. 1798.
0.997 1.001 1.006 1.013 1.025 1.046 1.077 1.112 1.18 1.25 1.43 1.66 2.00
1000 971.2 976.0 982.4 991.9 1008. 1036. 1063. 1102. 1170. 1245. 1425. 1664. 1998.
0.998 1.000 1.006 1.011 1.03 1.05 1.07 1.11 1.18 1.25 1.43 1.67 2.00
1100 1071. 1076. 1083. 1093. 1111. 1141. 1170. 1213. 1288. 1370. 1568. 1831. 2198.
1.0% 1.2% 1.5% 2% 3% 5% 7% 10% 15% 20% 30% 40% 50%
N B