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Table 3 Performance of optimized allocation for the single-class scenario (N max=13,000, \(\alpha _{l} \triangleq \alpha _{1,l}, \forall l\))

From: QoE optimization of video multicast with heterogeneous channels and playback requirements

 

Utility settings

City

Ice

Crew

RC δ Distribution

 

Performance (%)

Efficiency (%)

Performance (%)

Efficiency (%)

Performance (%)

Efficiency (%)

 

[α 1 α 2 α 3]

\(\eta ^{^{CV}}\uparrow \)

η GD ↑

ε CV

ε GD

η CV ↑

η GD ↑

ε CV

ε GD

η CV ↑

η GD ↑

ε CV

ε GD

Δ-I

[1/3 1/3 1/3]

114.40

114.40

100.00

100.00

71.22

71.22

100.00

100.00

113.82

113.82

100.00

100.00

 

[1/4 1/4 1/2]

81.74

81.74

100.00

100.00

52.40

52.40

100.00

100.00

75.89

75.89

100.00

100.00

 

[1/2 1/4 1/4]

144.48

144.48

100.00

100.00

87.18

87.18

100.00

100.00

152.44

152.44

100.00

100.00

 

[4/7 2/7 1/7]

176.61

176.61

100.00

100.00

105.33

105.33

100.00

100.00

188.40

188.40

100.00

100.00

Δ-II

[1/3 1/3 1/3]

15.83

20.53

96.10

100.00

14.43

22.55

93.37

100.00

17.96

25.36

94.10

100.00

 

[1/4 1/4 1/2]

11.58

16.79

95.54

100.00

8.37

16.44

93.06

100.00

17.91

21.34

97.18

100.00

 

[1/2 1/4 1/4]

22.49

27.82

95.83

100.00

20.06

26.68

94.77

100.00

24.52

32.87

93.71

100.00

 

[4/7 2/7 1/7]

27.96

31.48

97.32

100.00

26.12

31.10

96.20

100.00

28.79

38.39

93.06

100.00

Δ-III

[1/3 1/3 1/3]

281.10

318.43

90.42

99.27

379.38

395.35

96.77

99.99

209.62

210.07

98.75

98.89

 

[1/4 1/4 1/2]

167.02

213.91

84.47

99.30

238.25

293.25

86.01

99.99

113.42

154.63

83.81

99.99

 

[1/2 1/4 1/4]

358.66

395.93

92.49

100.00

434.55

454.58

96.39

100.00

326.65

336.00

97.85

100.00

 

[4/7 2/7 1/7]

424.19

466.78

92.49

100.00

514.46

530.42

97.47

100.00

387.60

398.29

97.85

100.00

Δ-IV

[1/3 1/3 1/3]

38.68

54.54

89.73

100.00

32.92

40.35

90.02

95.04

32.22

34.00

95.58

96.87

 

[1/4 1/4 1/2]

27.40

27.83

91.47

91.78

22.02

31.10

93.07

100.00

23.06

24.59

97.07

98.28

 

[1/2 1/4 1/4]

61.61

72.15

93.88

100.00

50.69

53.27

95.22

96.85

41.34

59.93

88.37

99.99

 

[4/7 2/7 1/7]

78.11

83.92

96.84

100.00

61.30

70.15

94.80

100.00

57.03

72.07

91.01

99.72

Average

126.99

140.46

94.79

99.40

132.42

142.59

95.45

99.49

113.17

121.13

95.52

99.61