62
TRANSMISSION AND SWITCHING: CORNERSTONES OF A NETWORK
Table 4.1
Trunk-Loading Capacity, Based on Erlang B Formula, Full Availability
Grade of
Service
1 in 1000
Grade of
Service
1 in 500
Grade of
Service
1 in 200
Grade of
Service
1 in 100
Grade of
Service
1 in 50
Grade of
Service
1 in 20
Trunks
UC
TU
UC
TU
UC
TU
UC
TU
UC
TU
UC
TU
1
0.04
0.001
0.07
0.002
0.2
0.005
0.4
0.01
0.7
0.02
1.8
0.05
2
1.8
0.05
2.5
0.07
4
0.11
5.4
0.15
7.9
0.22
14
0.38
3
6.8
0.19
9
0.25
13
0.35
17
0.46
22
0.60
32
0.90
4
16
0.44
19
0.53
25
0.70
31
0.87
39
1.09
55
1.52
5
27
0.76
32
0.90
41
1.13
49
1.36
60
1.66
80
2.22
6
41
1.15
48
1.33
58
1.62
69
1.91
82
2.28
107
2.96
7
57
1.58
65
1.80
78
2.16
90
2.50
106
2.94
135
3.74
8
74
2.05
83
2.31
98
2.73
113
3.13
131
3.63
163
4.54
9
92
2.56
103
2.85
120
3.33
136
3.78
156
4.34
193
5.37
10
111
3.09
123
3.43
143
3.96
161
4.46
183
5.08
224
6.22
11
131
3.65
145
4.02
166
4.61
186
5.16
210
5.84
255
7.08
12
152
4.23
167
4.64
190
5.28
212
5.88
238
6.62
286
7.95
13
174
4.83
190
5.27
215
5.96
238
6.61
267
7.41
318
8.83
14
196
5.45
213
5.92
240
6.66
265
7.35
295
8.20
350
9.73
15
219
6.08
237
6.58
266
7.38
292
8.11
324
9.01
383
10.63
16
242
6.72
261
7.26
292
8.10
319
8.87
354
9.83
415
11.54
17
266
7.38
286
7.95
318
8.83
347
9.65
384
10.66
449
12.46
18
290
8.05
311
8.64
345
9.58
376
10.44
414
11.49
482
13.38
19
314
8.72
337
9.35
372
10.33
404
11.23
444
12.33
515
14.31
20
339
9.41
363
10.07
399
11.09
433
12.03
474
13.18
549
15.25
21
364
10.11
388
10.79
427
11.86
462
12.84
505
14.04
583
16.19
22
389
10.81
415
11.53
455
12.63
491
13.65
536
14.90
617
17.13
23
415
11.52
442
12.27
483
13.42
521
14.47
567
15.76
651
18.08
24
441
12.24
468
13.01
511
14.20
550
15.29
599
16.63
685
19.03
25
467
12.97
495
13.76
540
15.00
580
16.12
630
17.50
720
19.99
26
493
13.70
523
14.52
569
15.80
611
16.96
662
18.38
754
20.94
27
520
14.44
550
15.28
598
16.60
641
17.80
693
19.26
788
21.90
28
546
15.18
578
16.05
627
17.41
671
18.64
725
20.15
823
22.87
29
573
15.93
606
16.83
656
18.22
702
19.49
757
21.04
858
23.83
30
600
16.68
634
17.61
685
19.03
732
20.34
789
21.93
893
24.80
31
628
17.44
662
18.39
715
19.85
763
21.19
822
22.83
928
25.77
32
655
18.20
690
19.18
744
20.68
794
22.05
854
23.73
963
26.75
33
683
18.97
719
19.97
774
21.51
825
22.91
887
24.63
998
27.72
34
711
19.74
747
20.76
804
22.34
856
23.77
919
25.53 1033
28.70
35
739
20.52
776
21.56
834
23.17
887
24.64
951
26.43 1068
29.68
36
767
21.30
805
22.36
864
24.01
918
25.51
984
27.34 1104
30.66
37
795
22.03
834
23.17
895
24.85
950
26.38 1017
28.25 1139
31.64
38
823
22.86
863
23.97
925
25.69
981
27.25 1050
29.17 1175
32.63
39
851
23.65
892
24.78
955
26.53
1013
28.13 1083
30.08 1210
33.61
40
880
24.44
922
25.60
986
27.38
1044
29.01 1116
31.00 1246
34.60
41
909
25.24
951
26.42
1016
28.23
1076
29.89 1149
31.92 1281
35.59
42
937
26.04
981
27.24
1047
29.08
1108
30.77 1182
32.84 1317
36.58
43
966
26.84
1010
28.06
1078
29.94
1140
31.66 1215
33.76 1353
37.57
44
995
27.64
1040
28.88
1109
30.80
1171
32.54 1248
34.68 1388
38.56
45
1024
28.45
1070
29.71
1140
31.66
1203
33.43 1282
35.61 1424
39.55
46
1053
29.26
1099
30.54
1171
32.52
1236
34.32 1315
36.53 1459
40.54
47
1083
30.07
1129
31.37
1202
33.38
1268
35.21 1349
37.46 1495
41.54
48
1111
30.88
1159
32.20
1233
34.25
1300
36.11 1382
38.39 1531
42.54
49
1141
31.69
1189
33.04
1264
35.11
1332
37.00 1415
39.32 1567
43.54
of servicing channels or trunks. In this case we would opt for the next highest integer
because we cannot install a fraction of a trunk. For instance, if calculations show that a
trunk route should have 31.4 trunks, it would be designed for 32 trunks.
The Erlang B formula, based on lost calls cleared, has been standardized by the CCITT
(CCITT Rec. Q.87) and has been generally accepted outside the United States. In the
United States the Poisson formula is favored. This formula is often called the Molina
Summary :
62 TRANSMISSION AND SWITCHING: CORNERSTONES OF A NETWORK Table 4.1 Trunk-Loading Capacity, Based on Erlang B Formula, Full Availability Grade of Service 1 in 1000 Grade of Service 1 in 500 Grade of Service 1 in 200 Grade of Service 1 in 100 Grade of Service 1 in 50 Grade of Service 1 in 20 Trunks UC TU UC TU UC TU UC TU UC TU UC TU 1 0.04 0.001 0.07 0.002 0.2 0.005 0.4 0.01 0.7 0.02 1.8 0.05 2 1.8 0.05 2.5 0.07 4 0.11 5.4 0.15 7.9 0.22 14 0.38 3 6.8 0.19 9 0.25 13 0.35 17 0.46 22 0.60 32 0.90 4 16 0.44 19 0.53 25 0.70 31 0.87 39 1.09 55 1.52 5 27 0.76 32 0.90 41 1.13 49 1.36 60 1.66 80 2.22 6 41 1.15 48 1.33 58 1.62 69 1.91 82 2.28 107 2.96 7 57 1.58 65 1.80 78 2.16 90 2.50 106 2.94 135 3.74 8 74 2.05 83 2.31 98 2.73 113 3.13 131 3.63 163 4.54 9 92 2.56 103 2.85 120 3.33 136 3.78 156 4.34 193 5.37 10 111 3.09 123 3.43 143 3.96 161 4.46 183 5.08 224 6.22 11 131 3.65 145 4.02 166 4.61 186 5.16 210 5.84 255 7.08 12 152 4.23 167 4.64 190 5.28 212 5.88 238 6.62 286 7.95 13 174 4.83 190 5.27 215 5.96 238 6.61 267 7.41 318 8.83 14 196 5.45 213 5.92 240 6.66 265 7.35 295 8.20 350 9.73 15 219 6.08 237 6.58 266 7.38 292 8.11 324 9.01 383 10.63 16 242 6.72 261 7.26 292 8.10 319 8.87 354 9.83 415 11.54 17 266 7.38 286 7.95 318 8.83 347 9.65 384 10.66 449 12.46 18 290 8.05 311 8.64 345 9.58 376 10.44 414 11.49 482 13.38 19 314 8.72 337 9.35 372 10.33 404 11.23 444 12.33 515 14.31 20 339 9.41 363 10.07 399 11.09 433 12.03 474 13.18 549 15.25 21 364 10.11 388 10.79 427 11.86 462 12.84 505 14.04 583 16.19 22 389 10.81 415 11.53 455 12.63 491 13.65 536 14.90 617 17.13 23 415 11.52 442 12.27 483 13.42 521 14.47 567 15.76 651 18.08 24 441 12.24 468 13.01 511 14.20 550 15.29 599 16.63 685 19.03 25 467 12.97 495 13.76 540 15.00 580 16.12 630 17.50 720 19.99 26 493 13.70 523 14.52 569 15.80 611 16.96 662 18.38 754 20.94 27 520 14.44 550 15.28 598 16.60 641 17.80 693 19.26 788 21.90 28 546 15.18 578 16.05 627 17.41 671 18.64 725 20.15 823 22.87 29 573 15.93 606 16.83 656 18.22 702 19.49 757 21.04 858 23.83 30 600 16.68 634 17.61 685 19.03 732 20.34 789 21.93 893 24.80 31 628 17.44 662 18.39 715 19.85 763 21.19 822 22.83 928 25.77 32 655 18.20 690 19.18 744 20.68 794 22.05 854 23.73 963 26.75 33 683 18.97 719 19.97 774 21.51 825 22.91 887 24.63 998 27.72 34 711 19.74 747 20.76 804 22.34 856 23.77 919 25.53 1033 28.70 35 739 20.52 776 21.56 834 23.17 887 24.64 951 26.43 1068 29.68 36 767 21.30 805 22.36 864 24.01 918 25.51 984 27.34 1104 30.66 37 795 22.03 834 23.17 895 24.85 950 26.38 1017 28.25 1139 31.64 38 823 22.86 863 23.97 925 25.69 981 27.25 1050 29.17 1175 32.63 39 851 23.65 892 24.78 955 26.53 1013 28.13 1083 30.08 1210 33.61 40 880 24.44 922 25.60 986 27.38 1044 29.01 1116 31.00 1246 34.60 41 909 25.24 951 26.42 1016 28.23 1076 29.89 1149 31.92 1281 35.59 42 937 26.04 981 27.24 1047 29.08 1108 30.77 1182 32.84 1317 36.58 43 966 26.84 1010 28.06 1078 29.94 1140 31.66 1215 33.76 1353 37.57 44 995 27.64 1040 28.88 1109 30.80 1171 32.54 1248 34.68 1388 38.56 45 1024 28.45 1070 29.71 1140 31.66 1203 33.43 1282 35.61 1424 39.55 46 1053 29.26 1099 30.54 1171 32.52 1236 34.32 1315 36.53 1459 40.54 47 1083 30.07 1129 31.37 1202 33.38 1268 35.21 1349 37.46 1495 41.54 48 1111 30.88 1159 32.20 1233 34.25 1300 36.11 1382 38.39 1531 42.54 49 1141 31.69 1189 33.04 1264 35.11 1332 37.00 1415 39.32 1567 43.54 of servicing channels or trunks.
Tags :
grade,serice,trunks,formula,415,795,887,662,166,266,1140,823,951