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Appendix 2: Tables

By Gerard Hebuterne
From Communicating Systems & Networks: Traffic & Performance

This appendix provides a brief set of data concerning the most commonly used distribution functions. More complete results are nowadays easy to obtain, through specific software packages or more comprehensive tables available e.g. on CD ROMs or on the Web. The goal of the following tables and graphs is to allow quickly visualising and quantifying the behaviour of important laws.

Erlang distribution

Erlang loss formula

E( N, A) = B =

Erlang tables

A (offered traffic) as a function of B (loss probability) and N (number of servers).

Table 1: Erlang distribution

B% ? N

0.01

0.03

0.05

0.1

0.2

0.3

0.5

1

0.0001

0.0003

0.0005

0.001

0.002

0.003

0.005

3

0.0868

0.127

0.152

0.194

0.249

0.289

0.349

5

0.452

0.577

0.649

0.762

0.900

0.994

1.13

7

1.05

1.27

1.39

1.58

1.80

1.95

2.16

10

2.26

2.61

2.80

3.09

3.43

3.65

3.96

15

4.78

5.34

5.63

6.08

6.58

6.91

7.38

20

7.70

8.44

8.83

9.41

10.1

10.5

11.1

25

10.9

11.8

12.3

13

13.8

14.3

15

30

14.2

15.3

15.9

16.7

17.6

18.2

19

35

17.8

19

19.6

20.5

21.6

22.2

23.2

40

21.4

22.7

23.4

24.4

25.6

26.3

27.4

50

28.9

30.5

31.3

32.5

33.9

34.8

36

60

36.6

38.5

39.4

40.8

42.4

43.4

44.8

70

44.6

46.6

47.7

49.2

51

52.1

53.7

80

52.7

54.9

56.1

57.8

59.7

61

62.7

90

60.9

63.4

64.6

66.5

68.6

69.9

71.8

100

69.3

71.9

73.2

75.2

77.5

78.9

80.9

120

86.2

89.2

90.7
Copyright Kogan Page Limited 2004 under license agreement with Books24x7
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