Erlang B Traffic Table Maximum Offered Load Versus B and N B is in PDF

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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 .0001 .0005 .0010 .0050 .0101 .0204 .0526 .1111 .1765 .2500 .4286 .6667 2 .0142 .0321 .0458 .1054 .1526 .2235 .3813 .5954 .7962 1.000 1.449 2.000 3 .0868 .1517 .1938 .3490 .4555 .6022 ...

Description

Erlang B Traffic Table Maximum Offered Load Versus B and N B is in % 0.5 1.0 2 5 10

N/B

0.01

0.05

0.1

15

20

30

40

1 2 3 4 5

.0001 .0142 .0868 .2347 .4520

.0005 .0321 .1517 .3624 .6486

.0010 .0458 .1938 .4393 .7621

.0050 .1054 .3490 .7012 1.132

.0101 .1526 .4555 .8694 1.361

.0204 .2235 .6022 1.092 1.657

.0526 .3813 .8994 1.525 2.219

.1111 .5954 1.271 2.045 2.881

.1765 .7962 1.603 2.501 3.454

.2500 1.000 1.930 2.945 4.010

.4286 1.449 2.633 3.891 5.189

.6667 2.000 3.480 5.021 6.596

6 7 8 9 10

.7282 1.054 1.422 1.826 2.260

.9957 1.392 1.830 2.302 2.803

1.146 1.579 2.051 2.558 3.092

1.622 2.158 2.730 3.333 3.961

1.909 2.501 3.128 3.783 4.461

2.276 2.935 3.627 4.345 5.084

2.960 3.738 4.543 5.370 6.216

3.758 4.666 5.597 6.546 7.511

4.445 5.461 6.498 7.551 8.616

5.109 6.230 7.369 8.522 9.685

6.514 7.856 9.213 10.58 11.95

8.191 9.800 11.42 13.05 14.68

11 12 13 14 15

2.722 3.207 3.713 4.239 4.781

3.329 3.878 4.447 5.032 5.634

3.651 4.231 4.831 5.446 6.077

4.610 5.279 5.964 6.663 7.376

5.160 5.876 6.607 7.352 8.108

5.842 6.615 7.402 8.200 9.010

7.076 7.950 8.835 9.730 10.63

8.487 9.474 10.47 11.47 12.48

9.691 10.78 11.87 12.97 14.07

10.86 12.04 13.22 14.41 15.61

13.33 14.72 16.11 17.50 18.90

16.31 17.95 19.60 21.24 22.89

16 17 18 19 20

5.339 5.911 6.496 7.093 7.701

6.250 6.878 7.519 8.170 8.831

6.722 7.378 8.046 8.724 9.412

8.100 8.834 9.578 10.33 11.09

8.875 9.652 10.44 11.23 12.03

9.828 10.66 11.49 12.33 13.18

11.54 12.46 13.39 14.32 15.25

13.50 14.52 15.55 16.58 17.61

15.18 16.29 17.41 18.53 19.65

16.81 18.01 19.22 20.42 21.64

20.30 21.70 23.10 24.51 25.92

24.54 26.19 27.84 29.50 31.15

21 22 23 24 25

8.319 8.946 9.583 10.23 10.88

9.501 10.18 10.87 11.56 12.26

10.11 10.81 11.52 12.24 12.97

11.86 12.64 13.42 14.20 15.00

12.84 13.65 14.47 15.30 16.13

14.04 14.90 15.76 16.63 17.51

16.19 17.13 18.08 19.03 19.99

18.65 19.69 20.74 21.78 22.83

20.77 21.90 23.03 24.16 25.30

22.85 24.06 25.28 26.50 27.72

27.33 28.74 30.15 31.56 32.97

32.81 34.46 36.12 37.78 39.44

26 27 28 29 30

11.54 12.21 12.88 13.56 14.25

12.97 13.69 14.41 15.13 15.86

13.70 14.44 15.18 15.93 16.68

15.80 16.60 17.41 18.22 19.03

16.96 17.80 18.64 19.49 20.34

18.38 19.27 20.15 21.04 21.93

20.94 21.90 22.87 23.83 24.80

23.89 24.94 26.00 27.05 28.11

26.43 27.57 28.71 29.85 31.00

28.94 30.16 31.39 32.61 33.84

34.39 35.80 37.21 38.63 40.05

41.10 42.76 44.41 46.07 47.74

31 32 33 34 35

14.94 15.63 16.34 17.04 17.75

16.60 17.34 18.09 18.84 19.59

17.44 18.21 18.97 19.74 20.52

19.85 20.68 21.51 22.34 23.17

21.19 22.05 22.91 23.77 24.64

22.83 23.73 24.63 25.53 26.44

25.77 26.75 27.72 28.70 29.68

29.17 30.24 31.30 32.37 33.43

32.14 33.28 34.43 35.58 36.72

35.07 36.30 37.52 38.75 39.99

41.46 42.88 44.30 45.72 47.14

49.40 51.06 52.72 54.38 56.04

36 37 38 39 40

18.47 19.19 19.91 20.64 21.37

20.35 21.11 21.87 22.64 23.41

21.30 22.08 22.86 23.65 24.44

24.01 24.85 25.69 26.53 27.38

25.51 26.38 27.25 28.13 29.01

27.34 28.25 29.17 30.08 31.00

30.66 31.64 32.62 33.61 34.60

34.50 35.57 36.64 37.72 38.79

37.87 39.02 40.17 41.32 42.48

41.22 42.45 43.68 44.91 46.15

48.56 49.98 51.40 52.82 54.24

57.70 59.37 61.03 62.69 64.35

41 42 43

22.11 22.85 23.59

24.19 24.97 25.75

25.24 26.04 26.84

28.23 29.09 29.94

29.89 30.77 31.66

31.92 32.84 33.76

35.58 36.57 37.57

39.86 40.94 42.01

43.63 44.78 45.94

47.38 48.62 49.85

55.66 57.08 58.50

66.02 67.68 69.34

44 45

24.33 25.08

26.53 27.32

27.64 28.45

30.80 31.66

32.54 33.43

34.68 35.61

38.56 39.55

43.09 44.17

47.09 48.25

51.09 52.32

59.92 61.35

71.01 72.67

46 47 48 49 50

25.83 26.59 27.34 28.10 28.87

28.11 28.90 29.70 30.49 31.29

29.26 30.07 30.88 31.69 32.51

32.52 33.38 34.25 35.11 35.98

34.32 35.22 36.11 37.00 37.90

36.53 37.46 38.39 39.32 40.26

40.55 41.54 42.54 43.53 44.53

45.24 46.32 47.40 48.48 49.56

49.40 50.56 51.71 52.87 54.03

53.56 54.80 56.03 57.27 58.51

62.77 64.19 65.61 67.04 68.46

74.33 76.00 77.66 79.32 80.99

51 52 53 54 55

29.63 30.40 31.17 31.94 32.72

32.09 32.90 33.70 34.51 35.32

33.33 34.15 34.98 35.80 36.63

36.85 37.72 38.60 39.47 40.35

38.80 39.70 40.60 41.51 42.41

41.19 42.12 43.06 44.00 44.94

45.53 46.53 47.53 48.54 49.54

50.64 51.73 52.81 53.89 54.98

55.19 56.35 57.50 58.66 59.82

59.75 60.99 62.22 63.46 64.70

69.88 71.31 72.73 74.15 75.58

82.65 84.32 85.98 87.65 89.31

56 57 58 59 60

33.49 34.27 35.05 35.84 36.62

36.13 36.95 37.76 38.58 39.40

37.46 38.29 39.12 39.96 40.80

41.23 42.11 42.99 43.87 44.76

43.32 44.22 45.13 46.04 46.95

45.88 46.82 47.76 48.70 49.64

50.54 51.55 52.55 53.56 54.57

56.06 57.14 58.23 59.32 60.40

60.98 62.14 63.31 64.47 65.63

65.94 67.18 68.42 69.66 70.90

77.00 78.43 79.85 81.27 82.70

90.97 92.64 94.30 95.97 97.63

61 62 63 64 65

37.41 38.20 38.99 39.78 40.58

40.22 41.05 41.87 42.70 43.52

41.63 42.47 43.31 44.16 45.00

45.64 46.53 47.42 48.31 49.20

47.86 48.77 49.69 50.60 51.52

50.59 51.53 52.48 53.43 54.38

55.57 56.58 57.59 58.60 59.61

61.49 62.58 63.66 64.75 65.84

66.79 67.95 69.11 70.28 71.44

72.14 73.38 74.63 75.87 77.11

84.12 85.55 86.97 88.40 89.82

99.30 101.0 102.6 104.3 106.0

66 67 68 69 70

41.38 42.17 42.97 43.77 44.58

44.35 45.18 46.02 46.85 47.68

45.85 46.69 47.54 48.39 49.24

50.09 50.98 51.87 52.77 53.66

52.44 53.35 54.27 55.19 56.11

55.33 56.28 57.23 58.18 59.13

60.62 61.63 62.64 63.65 64.67

66.93 68.02 69.11 70.20 71.29

72.60 73.77 74.93 76.09 77.26

78.35 79.59 80.83 82.08 83.32

91.25 92.67 94.10 95.52 96.95

107.6 109.3 111.0 112.6 114.3

71 72 73 74 75

45.38 46.19 47.00 47.81 48.62

48.52 49.36 50.20 51.04 51.88

50.09 50.94 51.80 52.65 53.51

54.56 55.46 56.35 57.25 58.15

57.03 57.96 58.88 59.80 60.73

60.08 61.04 61.99 62.95 63.90

65.68 66.69 67.71 68.72 69.74

72.38 73.47 74.56 75.65 76.74

78.42 79.59 80.75 81.92 83.08

84.56 85.80 87.05 88.29 89.53

98.37 99.80 101.2 102.7 104.1

116.0 117.6 119.3 120.9 122.6

76 77 78 79 80

49.43 50.24 51.05 51.87 52.69

52.72 53.56 54.41 55.25 56.10

54.37 55.23 56.09 56.95 57.81

59.05 59.96 60.86 61.76 62.67

61.65 62.58 63.51 64.43 65.36

64.86 65.81 66.77 67.73 68.69

70.75 71.77 72.79 73.80 74.82

77.83 78.93 80.02 81.11 82.20

84.25 85.41 86.58 87.74 88.91

90.78 92.02 93.26 94.51 95.75

105.5 106.9 108.4 109.8 111.2

124.3 125.9 127.6 129.3 130.9

81 82 83 84 85

53.51 54.33 55.15 55.97 56.79

56.95 57.80 58.65 59.50 60.35

58.67 59.54 60.40 61.27 62.14

63.57 64.48 65.39 66.29 67.20

66.29 67.22 68.15 69.08 70.02

69.65 70.61 71.57 72.53 73.49

75.84 76.86 77.87 78.89 79.91

83.30 84.39 85.48 86.58 87.67

90.08 91.24 92.41 93.58 94.74

96.99 98.24 99.48 100.7 102.0

112.6 114.1 115.5 116.9 118.3

132.6 134.3 135.9 137.6 139.3

86 87 88 89 90

57.62 58.44 59.27 60.10 60.92

61.21 62.06 62.92 63.77 64.63

63.00 63.87 64.74 65.61 66.48

68.11 69.02 69.93 70.84 71.76

70.95 71.88 72.82 73.75 74.68

74.45 75.42 76.38 77.34 78.31

80.93 81.95 82.97 83.99 85.01

88.77 89.86 90.96 92.05 93.15

95.91 97.08 98.25 99.41 100.6

103.2 104.5 105.7 107.0 108.2

119.8 121.2 122.6 124.0 125.5

140.9 142.6 144.3 145.9 147.6

91 92 93 94 95

61.75 62.58 63.42 64.25 65.08

65.49 66.35 67.21 68.07 68.93

67.36 68.23 69.10 69.98 70.85

72.67 73.58 74.50 75.41 76.33

75.62 76.56 77.49 78.43 79.37

79.27 80.24 81.20 82.17 83.13

86.04 87.06 88.08 89.10 90.12

94.24 95.34 96.43 97.53 98.63

101.8 102.9 104.1 105.3 106.4

109.4 110.7 111.9 113.2 114.4

126.9 128.3 129.8 131.2 132.6

149.3 150.9 152.6 154.3 155.9

96 97 98 99 100

65.92 66.75 67.59 68.43 69.27

69.79 70.65 71.52 72.38 7~.25

71.73 72.61 73.48 74.36 75.24

77.24 78.16 79.07 79.99 80.91

80.31 81.25 82.18 83.12 84.06

84.10 85.07 86.04 87.00 87.97

91.15 92.17 93.19 94.22 95.24

99.72 100.8 101.9 103.0 104.1

107.6 108.8 109.9 111.1 112.3

115.7 116.9 118.2 119.4 120.6

134.0 135.5 136.9 138.3 139.7

157.6 159.3 160.9 162.6 164.3

N is the number of servers. The numerical column headings indicate blocking probability B in %. Table generated by Dan Dexter

Erlang C Traffic Table

N/B

0.01

0.05

0.1

Maximum Offered Load Versus B and N B is in % 0.5 1.0 2 5 10

1 2 3 4 5

.0001 .0142 .0860 .2310 .4428

.0005 .0319 .1490 .3533 .6289

.0010 .0452 .1894 .4257 .7342

.0050 .1025 .3339 .6641 1.065

.0100 .1465 .4291 .8100 1.259

.0200 .2103 .5545 .9939 1.497

.0500 .3422 .7876 1.319 1.905

.1000 .5000 1.040 1.653 2.313

.1500 .6278 1.231 1.899 2.607

.2000 .7403 1.393 2.102 2.847

.3000 .9390 1.667 2.440 3.241

.4000 1.117 1.903 2.725 3.569

6 7 8 9 10

.7110 1.026 1.382 1.771 2.189

.9616 1.341 1.758 2.208 2.685

1.099 1.510 1.958 2.436 2.942

1.519 2.014 2.543 3.100 3.679

1.758 2.297 2.866 3.460 4.077

2.047 2.633 3.246 3.883 4.540

2.532 3.188 3.869 4.569 5.285

3.007 3.725 4.463 5.218 5.986

3.344 4.103 4.878 5.668 6.469

3.617 4.406 5.210 6.027 6.853

4.062 4.897 5.744 6.600 7.465

4.428 5.298 6.178 7.065 7.959

11 12 13 14 15

2.634 3.100 3.587 4.092 4.614

3.186 3.708 4.248 4.805 5.377

3.470 4.018 4.584 5.166 5.762

4.279 4.896 5.529 6.175 6.833

4.712 5.363 6.028 6.705 7.394

5.213 5.901 6.602 7.313 8.035

6.015 6.758 7.511 8.273 9.044

6.765 7.554 8.352 9.158 9.970

7.280 8.099 8.926 9.760 10.60

7.688 8.530 9.379 10.23 11.09

8.336 9.212 10.09 10.98 11.87

8.857 9.761 10.67 11.58 12.49

16 17 18 19 20

5.150 5.699 6.261 6.835 7.419

5.962 6.560 7.169 7.788 8.417

6.371 6.991 7.622 8.263 8.914

7.502 8.182 8.871 9.568 10.27

8.093 8.801 9.518 10.24 10.97

8.766 9.505 10.25 11.01 11.77

9.822 10.61 11.40 12.20 13.00

10.79 11.61 12.44 13.28 14.12

11.44 12.29 13.15 14.01 14.87

11.96 12.83 13.70 14.58 15.45

12.77 13.66 14.56 15.47 16.37

13.41 14.33 15.25 16.18 17.10

21 22 23 24 25

8.013 8.616 9.228 9.848 10.48

9.055 9.702 10.36 11.02 11.69

9.572 10.24 10.91 11.59 12.28

10.99 11.70 12.43 13.16 13.90

11.71 12.46 13.21 13.96 14.72

12.53 13.30 14.08 14.86 15.65

13.81 14.62 15.43 16.25 17.08

14.96 15.81 16.65 17.51 18.36

15.73 16.60 17.47 18.35 19.22

16.34 17.22 18.11 19.00 19.89

17.28 18.19 19.10 20.02 20.93

18.03 18.96 19.89 20.82 21.76

26 27 28 29 30

11.11 11.75 12.40 13.05 13.71

12.36 13.04 13.73 14.42 15.12

12.97 13.67 14.38 15.09 15.80

14.64 15.38 16.14 16.89 17.65

15.49 16.26 17.03 17.81 18.59

16.44 17.23 18.03 18.83 19.64

17.91 18.74 19.57 20.41 21.25

19.22 20.08 20.95 21.82 22.68

20.10 20.98 21.87 22.75 23.64

20.79 21.68 22.58 23.48 24.38

21.85 22.77 23.69 24.61 25.54

22.69 23.63 24.57 25.50 26.44

31 32 33 34 35

14.38 15.05 15.72 16.40 17.09

15.82 16.53 17.24 17.95 18.67

16.52 17.25 17.97 18.71 19.44

18.42 19.18 19.95 20.73 21.51

19.37 20.16 20.95 21.75 22.55

20.45 21.26 22.07 22.89 23.71

22.09 22.93 23.78 24.63 25.48

23.56 24.43 25.30 26.18 27.06

24.53 25.42 26.32 27.21 28.11

25.29 26.19 27.10 28.01 28.92

26.46 27.39 28.31 29.24 30.17

27.38 28.33 29.27 30.21 31.16

36 37 38 39 40

17.78 18.47 19.17 19.87 20.58

19.39 20.12 20.85 21.59 22.33

20.18 20.92 21.67 22.42 23.17

22.29 23.07 23.86 24.65 25.44

23.35 24.15 24.96 25.77 26.58

24.53 25.36 26.18 27.01 27.84

26.34 27.19 28.05 28.91 29.77

27.94 28.82 29.71 30.59 31.48

29.00 29.90 30.80 31.71 32.61

29.83 30.74 31.65 32.57 33.48

31.10 32.03 32.97 33.90 34.83

32.10 33.05 34.00 34.94 35.89

41 42 43

21.28 22.00 22.71

23.07 23.81 24.56

23.93 24.69 25.45

26.23 27.03 27.83

27.39 28.21 29.02

28.68 29.51 30.35

30.63 31.50 32.36

32.37 33.26 34.15

33.51 34.42 35.33

34.40 35.32 36.23

35.77 36.70 37.64

36.84 37.79 38.74

15

20

30

40

44 45

23.43 24.15

25.31 26.06

26.22 26.98

28.63 29.44

29.84 30.67

31.19 32.03

33.23 34.10

35.04 35.93

36.23 37.14

37.15 38.07

38.58 39.51

39.69 40.64

46 47 48 49 50

24.88 25.60 26.34 27.07 27.80

26.82 27.57 28.33 29.10 29.86

27.75 28.52 29.30 30.08 30.86

30.24 31.05 31.86 32.68 33.49

31.49 32.32 33.14 33.97 34.80

32.87 33.72 34.56 35.41 36.26

34.97 35.84 36.72 37.59 38.47

36.83 37.72 38.62 39.52 40.42

38.05 38.96 39.87 40.79 41.70

39.00 39.92 40.84 41.76 4?,69

40.45 41.39 42.33 43.27 44.21

41.59 42.54 43.50 44.45 45.40

51 52 53 54 55

28.54 29.28 30.03 30.77 31.52

30.63 31.40 32.17 32.95 33.72

31.64 32.42 33.21 33.99 34.78

34.31 35.12 35.94 36.76 37.59

35.64 36.47 37.31 38.15 38.99

37.11 37.97 38.82 39.67 40.53

39.35 40.23 41.10 41.99 42.87

41.32 42.22 43.12 44.02 44.93

42.61 43.53 44.44 45.36 46.28

43.61 44.54 45.47 46.39 47.32

45.15 46.10 47.04 47.98 48.93

46.36 47.31 48.27 49.22 50.18

56 57 58 59 60

32.27 33.03 33.78 34.54 35.30

34.50 35.28 36.06 36.85 37.63

35.57 36.37 37.16 37.96 38.76

38.41 39.24 40.07 40.90 41.73

39.83 40.67 41.51 42.36 43.20

41.39 42.25 43.11 43.97 44.83

43.75 44.64 45.52 46.41 47.29

45.83 46.74 47.64 48.55 49.46

47.20 48.12 49.04 49.96 50.88

48.25 49.18 50.11 51.04 51.97

49.87 50.82 51.76 52.71 53.65

51.13 52.09 53.05 54.01 54.96

61 62 63 64 65

36.06 36.82 37.59 38.35 39.12

38.42 39.21 40.00 40.80 41.59

39.56 40.36 41.16 41.97 42.78

42.56 43.39 44.23 45.06 45.90

44.05 44.90 45.75 46.60 47.45

45.70 46.56 47.43 48.30 49.16

48.18 49.07 49.96 50.85 51.74

50.37 51.27 52.18 53.10 54.01

51.80 52.72 53.64 54.57 55.49

52.90 53.83 54.77 55.70 56.63

54.60 55.55 56.49 57.44 58.39

55.92 56.88 57.84 58.80 59.76

66 67 68 69 70

39.89 40.66 41.44 42.21 42.99

42.39 43.18 43.98 44.78 45.58

43.58 44.39 45.20 46.02 46.83

46.74 47.58 48.42 49.26 50.10

48.30 49.16 50.01 50.87 51.73

50.03 50.90 51.77 52.65 53.52

52.64 53.53 54.42 55.32 56.21

54.92 55.83 56.75 57.66 58.57

56.42 57.34 58.27 59.20 60.12

57.57 58.50 59.44 60.37 61.31

59.34 60.29 61.24 62.19 63.14

60.72 61.68 62.64 63.60 64.56

71 72 73 74 75

43.77 44.55 45.33 46.11 46.90

46.39 47.19 48.00 48.81 49.61

47.64 48.46 49.28 50.10 50.92

50.95 51.79 52.64 53.49 54.34

52.59 53.45 54.31 55.17 56.03

54.39 55.27 56.14 57.02 57.90

57.11 58.01 58.90 59.80 60.70

59.49 60.41 61.32 62.24 63.16

61.05 61.98 62.91 63.84 64.76

62.25 63.18 64.12 65.06 66.00

64.09 65.04 65.99 66.94 67.89

65.52 66.48 67.44 68.40 69.37

76 77 78 79 80

47.68 48.47 49.26 50.05 50.84

50.42 51.23 52.05 52.86 53.68

51.74 52.56 53.38 54.21 55.03

55.19 56.04 56.89 57.74 58.60

56.89 57.76 58.62 59.49 60.36

58.78 59.65 60.53 61.41 62.30

61.60 62.50 63.40 64.30 65.21

64.07 64.99 65.91 66.83 67.75

65.69 66.63 67.56 68.49 69.42

66.94 67.88 68.82 69.76 70.70

68.85 69.80 70.75 71.70 72.66

...