A | B | C | D | E | F | G | H | I | J | K | L | M | N | O | P | Q | R | S | T | U | V | W | X | Y | Z | |
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1 | Platoon Case | |||||||||||||||||||||||||
2 | Optimal control | Follow-stopper | PI with Saturation | |||||||||||||||||||||||
3 | 20 vehicles | 20 vehicles | 20 vehicles | |||||||||||||||||||||||
4 | Penetration Rate (%) | Settling Time (s) | Maximum Spacing (m) | Control Energy (J) | Penetration Rate (%) | Settling Time (s) | Maximum Spacing (m) | Control Energy (J) | Penetration Rate (%) | Settling Time (s) | Maximum Spacing (m) | Control Energy (J) | ||||||||||||||
5 | 0 | 100 | - | - | 0 | 100 | - | - | 0 | 100 | - | - | ||||||||||||||
6 | 5 | 63.95 | 39.99 | 509.5 | 5 | 73.82 | 44.12 | 44.74 | 5 | 47.36 | 44.51 | 100.93 | ||||||||||||||
7 | 10 | 60.3 | 28.23 | 393.36 | 10 | 58.41 | 45.07 | 66.46 | 10 | 48.54 | 47.63 | 183.58 | ||||||||||||||
8 | 15 | 51.13 | 24.93 | 263.53 | 15 | 58.08 | 46.61 | 71.42 | 15 | 59.77 | 48.16 | 257.51 | ||||||||||||||
9 | 20 | 48.97 | 24.96 | 236.01 | 20 | 50.76 | 48.82 | 71.61 | 20 | 52.55 | 49.86 | 306.33 | ||||||||||||||
10 | 25 | 48.23 | 25.18 | 232.4 | 25 | 36.99 | 49.07 | 71.61 | 25 | 56.62 | 55.97 | 339.02 | ||||||||||||||
11 | 30 | 51.55 | 25.31 | 230.9 | 30 | 36.99 | 49.07 | 71.61 | 30 | 72.06 | 59 | 357.82 | ||||||||||||||
12 | 35 | 54.23 | 25.37 | 230.17 | 35 | 36.99 | 49.07 | 71.61 | 35 | 92.02 | 57.45 | 359.71 | ||||||||||||||
13 | 40 | 56.26 | 25.43 | 229.89 | 40 | 36.99 | 49.07 | 71.61 | 40 | 99.76 | 57.06 | 352.48 | ||||||||||||||
14 | 45 | 58.09 | 25.49 | 229.99 | 45 | 36.99 | 49.07 | 71.61 | 45 | 99.53 | 57.23 | 336.76 | ||||||||||||||
15 | 50 | 59.36 | 25.58 | 230.11 | 50 | 36.99 | 49.07 | 71.61 | 50 | 99.4 | 57.09 | 316.38 | ||||||||||||||
16 | 75 | 59.35 | 25.56 | 226.92 | 75 | 36.99 | 49.07 | 71.61 | 75 | 99.82 | 57.46 | 237.08 | ||||||||||||||
17 | 100 | 52.36 | 32.33 | 205.54 | 100 | 30.8 | 46.43 | 143.57 | 100 | 82.2 | 55.59 | 169.6 | ||||||||||||||
18 | ||||||||||||||||||||||||||
19 | 45 vehicles | 45 vehicles | 45 vehicles | |||||||||||||||||||||||
20 | Penetration Rate (%) | Settling Time (s) | Maximum Spacing (m) | Control Energy (J) | Penetration Rate (%) | Settling Time (s) | Maximum Spacing (m) | Control Energy (J) | Penetration Rate (%) | Settling Time (s) | Maximum Spacing (m) | Control Energy (J) | ||||||||||||||
21 | 0 | 100 | - | - | 0 | 100 | - | - | 0 | 100 | - | - | ||||||||||||||
22 | 5 | 76.99 | 24.32 | 288.5 | 5 | 89.49 | 49.07 | 71.42 | 5 | 72.75 | 82.19 | 367.15 | ||||||||||||||
23 | 10 | 75.91 | 24.94 | 233.82 | 10 | 36.99 | 49.07 | 71.61 | 10 | 60.05 | 71.78 | 561.25 | ||||||||||||||
24 | 15 | 73.43 | 25.28 | 230.63 | 15 | 36.99 | 49.07 | 71.61 | 15 | 62.46 | 65.38 | 696.7 | ||||||||||||||
25 | 20 | 62.86 | 25.43 | 230.36 | 20 | 36.99 | 49.07 | 71.61 | 20 | 86.35 | 54.31 | 771.33 | ||||||||||||||
26 | 25 | 66.04 | 25.52 | 230.13 | 25 | 36.99 | 49.07 | 71.61 | 25 | 99.21 | 57.16 | 805.42 | ||||||||||||||
27 | 30 | 69.37 | 25.55 | 229.93 | 30 | 36.99 | 49.07 | 71.61 | 30 | 99.44 | 59.29 | 802.81 | ||||||||||||||
28 | 35 | 71.98 | 25.57 | 230.03 | 35 | 36.99 | 49.07 | 71.61 | 35 | 99.54 | 64.75 | 941.29 | ||||||||||||||
29 | 40 | 74.05 | 25.58 | 230.11 | 40 | 36.99 | 49.07 | 71.61 | 40 | 99.66 | 61.97 | 761.13 | ||||||||||||||
30 | 45 | 76.17 | 25.57 | 230.2 | 45 | 36.99 | 49.07 | 71.61 | 45 | 99.85 | 60.97 | 672.15 | ||||||||||||||
31 | 50 | 76.99 | 25.56 | 230.24 | 50 | 36.99 | 49.07 | 71.61 | 50 | 99.69 | 58.87 | 598.08 | ||||||||||||||
32 | 75 | 77.03 | 25.49 | 231.38 | 75 | 36.99 | 49.07 | 71.61 | 75 | 99.03 | 56.96 | 383.13 | ||||||||||||||
33 | 100 | 65.7 | 32.35 | 206.49 | 100 | 29.45 | 46.43 | 143.57 | 100 | 82.2 | 55.59 | 184.44 | ||||||||||||||
34 | ||||||||||||||||||||||||||
35 | 70 vehicles | 70 vehicles | 70 vehicles | |||||||||||||||||||||||
36 | Penetration Rate (%) | Settling Time (s) | Maximum Spacing (m) | Control Energy (J) | Penetration Rate (%) | Settling Time (s) | Maximum Spacing (m) | Control Energy (J) | Penetration Rate (%) | Settling Time (s) | Maximum Spacing (m) | Control Energy (J) | ||||||||||||||
37 | 0 | 200 | - | - | 0 | 200 | - | - | 0 | 200 | - | - | ||||||||||||||
38 | 5 | 105.3 | 24.47 | 239.71 | 5 | 112.46 | 49.07 | 71.61 | 5 | 178.53 | 76.57 | 781.3 | ||||||||||||||
39 | 10 | 102 | 25.26 | 231.05 | 10 | 36.99 | 49.07 | 71.61 | 10 | 199.84 | 43.04 | 960.99 | ||||||||||||||
40 | 15 | 90.07 | 25.49 | 230.11 | 15 | 36.99 | 49.07 | 71.61 | 15 | 199.77 | 38.52 | 910.12 | ||||||||||||||
41 | 20 | 78 | 25.55 | 229.99 | 20 | 36.99 | 49.07 | 71.61 | 20 | 199.2 | 38.53 | 1440.18 | ||||||||||||||
42 | 25 | 76.47 | 25.59 | 230.19 | 25 | 36.99 | 49.07 | 71.61 | 25 | 195.18 | 38.65 | 2160.75 | ||||||||||||||
43 | 30 | 79.51 | 25.6 | 230.3 | 30 | 36.99 | 49.07 | 71.61 | 30 | 199.96 | 40.39 | 2768.83 | ||||||||||||||
44 | 35 | 82.7 | 25.61 | 230.41 | 35 | 36.99 | 49.07 | 71.61 | 35 | 199.97 | 43.98 | 2389.89 | ||||||||||||||
45 | 40 | 84.31 | 25.62 | 230.47 | 40 | 36.99 | 49.07 | 71.61 | 40 | 199.97 | 46.8 | 1982.72 | ||||||||||||||
46 | 45 | 85.6 | 25.62 | 230.51 | 45 | 36.99 | 49.07 | 71.61 | 45 | 199.97 | 51.43 | 1468.96 | ||||||||||||||
47 | 50 | 86.16 | 25.61 | 230.54 | 50 | 36.99 | 49.07 | 71.61 | 50 | 199.81 | 54.87 | 1159.32 | ||||||||||||||
48 | 75 | 84.24 | 25.44 | 230.68 | 75 | 36.99 | 49.07 | 71.61 | 75 | 199.4 | 55.62 | 501.3 | ||||||||||||||
49 | 100 | 71.66 | 32.35 | 206.59 | 100 | 28.62 | 46.43 | 143.57 | 100 | 107.5 | 55.59 | 210.52 | ||||||||||||||
50 | ||||||||||||||||||||||||||
51 | ||||||||||||||||||||||||||
52 | ||||||||||||||||||||||||||
53 | ||||||||||||||||||||||||||
54 | ||||||||||||||||||||||||||
55 | ||||||||||||||||||||||||||
56 | ||||||||||||||||||||||||||
57 | ||||||||||||||||||||||||||
58 | Uniform Case | |||||||||||||||||||||||||
59 | Optimal control | Follow-stopper | PI with Saturation | |||||||||||||||||||||||
60 | 20 vehicles | 20 vehicles | 20 vehicles | |||||||||||||||||||||||
61 | Penetration Rate (%) | Settling Time (s) | Maximum Spacing (m) | Control Energy (J) | Penetration Rate (%) | Settling Time (s) | Maximum Spacing (m) | Control Energy (J) | Penetration Rate (%) | Settling Time (s) | Maximum Spacing (m) | Control Energy (J) | ||||||||||||||
62 | 0 | 100 | - | - | 0 | 100 | - | - | 0 | 100 | - | - | ||||||||||||||
63 | 5 | 63.95 | 39.99 | 509.51 | 5 | 73.82 | 44.12 | 44.74 | 5 | 47.36 | 44.51 | 100.93 | ||||||||||||||
64 | 10 | 52.35 | 31.69 | 421.48 | 10 | 55.79 | 46.42 | 65.01 | 10 | 42.33 | 44.35 | 186.88 | ||||||||||||||
65 | 15 | 53.37 | 29.84 | 366.58 | 15 | 48.47 | 47.81 | 76.88 | 15 | 41.35 | 44.97 | 244.70 | ||||||||||||||
66 | 20 | 53.45 | 27.68 | 328.22 | 20 | 48.9 | 48.76 | 77.12 | 20 | 36.75 | 51.83 | 214.24 | ||||||||||||||
67 | 25 | 54.37 | 26.11 | 302.28 | 25 | 45.36 | 49.07 | 73.74 | 25 | 70 | 50.56 | 252.40 | ||||||||||||||
68 | 30 | 55.92 | 26.53 | 277.81 | 30 | 40.79 | 49.07 | 70.22 | 30 | 63.68 | 56.64 | 246.82 | ||||||||||||||
69 | 35 | 56.39 | 25.86 | 264.00 | 35 | 39.13 | 49.07 | 68.49 | 35 | 80.96 | 56.46 | 255.16 | ||||||||||||||
70 | 40 | 57.61 | 26.43 | 253.78 | 40 | 37.01 | 49.07 | 67.58 | 40 | 99.97 | 56.5 | 278.93 | ||||||||||||||
71 | 45 | 56.72 | 24.78 | 261.42 | 45 | 39.13 | 49.07 | 68.49 | 45 | 99.45 | 56.78 | 225.27 | ||||||||||||||
72 | 50 | 57.42 | 24.82 | 249.11 | 50 | 37.01 | 49.07 | 67.58 | 67.58 | 50 | 99.67 | 56.77 | 217.17 | |||||||||||||
73 | 75 | 60.63 | 24.21 | 234.38 | 75 | 37 | 49.07 | 66.65 | 75 | 97.42 | 57.35 | 200.88 | ||||||||||||||
74 | 100 | 52.36 | 32.33 | 205.54 | 100 | 30.8 | 46.43 | 143.57 | 100 | 82.2 | 55.59 | 169.60 | ||||||||||||||
75 | ||||||||||||||||||||||||||
76 | 45 vehicles | 45 vehicles | 45 vehicles | |||||||||||||||||||||||
77 | Penetration Rate (%) | Settling Time (s) | Maximum Spacing (m) | Control Energy (J) | Penetration Rate (%) | Settling Time (s) | Maximum Spacing (m) | Control Energy (J) | Penetration Rate (%) | Settling Time (s) | Maximum Spacing (m) | Control Energy (J) | ||||||||||||||
78 | 0 | 100 | - | - | 0 | 100 | - | - | 0 | 100 | - | - | ||||||||||||||
79 | 5 | 82.56 | 34.19 | 649.32 | 5 | 79.81 | 49.07 | 85.60 | 5 | 99.91 | 53.97 | 402.65 | ||||||||||||||
80 | 10 | 77.6 | 32 | 482.42 | 10 | 69.22 | 49.07 | 95.88 | 10 | 83.2 | 53.75 | 514.88 | ||||||||||||||
81 | 15 | 74.63 | 28.69 | 389.49 | 15 | 61.12 | 49.07 | 83.04 | 15 | 51.26 | 54.7 | 394.68 | ||||||||||||||
82 | 20 | 74.72 | 28.16 | 352.97 | 20 | 53.27 | 49.07 | 77.81 | 20 | 98.21 | 54.82 | 392.74 | ||||||||||||||
83 | 25 | 73.51 | 28.01 | 304.23 | 25 | 43.67 | 49.07 | 71.19 | 25 | 99.92 | 55.74 | 416.49 | ||||||||||||||
84 | 30 | 73.56 | 27.57 | 289.56 | 30 | 40.43 | 49.07 | 70.22 | 30 | 99.96 | 55.83 | 358.77 | ||||||||||||||
85 | 35 | 73.83 | 27.27 | 274.73 | 35 | 37.01 | 49.07 | 68.49 | 35 | 99.75 | 56.36 | 356.22 | ||||||||||||||
86 | 40 | 75.61 | 23.86 | 271.47 | 40 | 37.01 | 49.07 | 68.49 | 40 | 99.65 | 56.41 | 257.17 | ||||||||||||||
87 | 45 | 75.44 | 23.81 | 257.19 | 45 | 37 | 49.07 | 67.58 | 45 | 99.83 | 56.77 | 241.53 | ||||||||||||||
88 | 50 | 78.38 | 24.34 | 256.54 | 50 | 37 | 49.07 | 67.58 | 50 | 99.82 | 57.22 | 219.58 | ||||||||||||||
89 | 75 | 80.36 | 24.12 | 237.20 | 75 | 36.99 | 49.07 | 71.48 | 75 | 98.13 | 57.35 | 197.95 | ||||||||||||||
90 | 100 | 65.7 | 32.35 | 206.49 | 100 | 29.45 | 46.43 | 143.57 | 100 | 82.2 | 55.59 | 184.44 | ||||||||||||||
91 | ||||||||||||||||||||||||||
92 | 70 vehicles | 70 vehicles | 70 vehicles | |||||||||||||||||||||||
93 | Penetration Rate (%) | Settling Time (s) | Maximum Spacing (m) | Control Energy (J) | Penetration Rate (%) | Settling Time (s) | Maximum Spacing (m) | Control Energy (J) | Penetration Rate (%) | Settling Time (s) | Maximum Spacing (m) | Control Energy (J) | ||||||||||||||
94 | 0 | 200 | - | - | 0 | 200 | - | - | 0 | 200 | - | - | ||||||||||||||
95 | 5 | 107.86 | 34.14 | 751.05 | 5 | 109.02 | 49.07 | 106.55 | 5 | 199.75 | 52.26 | 843.00 | ||||||||||||||
96 | 10 | 94.37 | 32.26 | 527.79 | 10 | 81.81 | 49.07 | 102.00 | 10 | 199.84 | 53.59 | 1157.84 | ||||||||||||||
97 | 15 | 89.2 | 29.46 | 394.53 | 15 | 59.3 | 49.07 | 83.04 | 15 | 199.83 | 54.23 | 661.12 | ||||||||||||||
98 | 20 | 88.3 | 28.16 | 356.84 | 20 | 53.27 | 49.07 | 77.81 | 20 | 199.81 | 54.74 | 600.68 | ||||||||||||||
99 | 25 | 84.32 | 28.21 | 305.86 | 25 | 43.67 | 49.07 | 71.19 | 25 | 199.3 | 55.59 | 696.60 | ||||||||||||||
100 | 30 | 84.01 | 28.09 | 292 | 30 | 38.54 | 49.07 | 70.22 | 30 | 199.87 | 55.95 | 660.99 |