4) How many users can be supported for 0.5% blocking probability for the following number of trunked channels in a blocked calls cleared system (No Queue)? (a) 1 (b) 5, (c) 10, (d) 20, (e) 100. Assume each user generates 0.1 Erlangs of traffic. Capacity of an Erlang B System: Number ol Channels C Capacity (Erfangs) for GOS = 0.001 - 0.002 -0.01 - 0.005 %3D 2 0.153 0.105 0.065 0.046 4 0.869 0.701 0.535 0.439 5 1.36 1.13 0.900 0.762 10 4.46 3.96 3.43 3.09 20 12.0 11.1 10.1 9.41 24 15.3 14.2 13.0 12.2 40 29.0 27.3 25.7 24.5 70 56.1 53.7 51.0 49.2 100 84.1 80.9 77.4 75.2

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 31E
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S4) Please solve it

4) How many users can be supported for 0.5% blocking probability for the following number of
trunked channels in a blocked calls cleared system (No Queue)? (a) 1 (b) 5, (c) 10, (d) 20, (e)
100. Assume each user generates 0.1 Erlangs of traffic.
Capacity of an Erlang B System:
Number of
= 0.01
Capacity (Erlangs) for GOS
- 0.002
Channels C
= 0.005
= 0.001
2
0.153
0.105
0.065
0.046
4
0.869
0.701
0.535
0.439
1.36
1.13
0.900
0.762
10
4.46
3.96
3.43
3.09
20
12.0
11.1
10.1
9.41
24
15.3
14.2
13.0
12.2
40
29.0
27.3
25.7
24.5
70
56.1
53.7
51.0
49.2
100
84.1
80.9
77.4
75.2
Transcribed Image Text:4) How many users can be supported for 0.5% blocking probability for the following number of trunked channels in a blocked calls cleared system (No Queue)? (a) 1 (b) 5, (c) 10, (d) 20, (e) 100. Assume each user generates 0.1 Erlangs of traffic. Capacity of an Erlang B System: Number of = 0.01 Capacity (Erlangs) for GOS - 0.002 Channels C = 0.005 = 0.001 2 0.153 0.105 0.065 0.046 4 0.869 0.701 0.535 0.439 1.36 1.13 0.900 0.762 10 4.46 3.96 3.43 3.09 20 12.0 11.1 10.1 9.41 24 15.3 14.2 13.0 12.2 40 29.0 27.3 25.7 24.5 70 56.1 53.7 51.0 49.2 100 84.1 80.9 77.4 75.2
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