Research Article
Comparing Three Lane Merging Schemes for Short-Term Work Zones: A Simulation Study
Table 4
(a) Travel time comparisons (C20, C40). (b) Travel time comparisons (C60, C80).
(a) |
| | | | | | | Travel Time (sec) Analyses | | | | |
| | | | Summary statistics | |
Leveneโs Test () |
Overall -Test value () |
Friedman's Test () | Unequal variance -test | Compliance% and Truck% | Volume (Vehhr) | MAS (ฮผ), (s), max | Early DLM (ฮผ), (s), max | Late DLM (ฮผ), (s), max | - value () | - value () | - value () | Mean (ฮผ) | Std. Dev. | Max | Mean (ฮผ) | Std. Dev. | Max | Mean (ฮผ) | Std. Dev. | Max | | | | | | |
| Compliance 20% TRK 10% | V0500 | 299.09 | 1.97 | 302.70 | 299.05 | 2.71 | 305.60 | 298.70 | 2.62 | 304.40 | 0.184 | 0.722 | | | | | VI000 | 305.53 | 1.20 | 307.60 | 305.53 | 1.20 | 309.20 | 305.54 | 2.32 | 308.80 | 0.184 | 0.990 | | | | | V1500 | 310.49 | 1.45 | 312.80 | 309.16 | 1.62 | 313.00 | 312.73 | 4.54 | 329.30 | 0.010 | | 0.840 | | | | V2000 | 456.57 | 81.32 | 580.50 | 331.23 | 13.31 | 354.40 | 602.10 | 118.42 | 928.70 | <0.001 | | <0.001 | <0.001*** | <0.001*** | <0.001*** | V2500 | 962.90 | 138.40 | 1156.00 | 682.42 | 188.94 | 1126.80 | 812.47 | 212.20 | 1124.00 | <0.001 | | <0.001 | <0.001*** | 0.004*** | 0.024*** |
| Compliance 20% TRK 20% | V0500 | 299.18 | 1.97 | 302.80 | 298.95 | 2.32 | 303.10 | 298.78 | 2.87 | 304.40 | 0.120 | 0.809 | | | | | VI000 | 305.77 | l.21 | 307.80 | 305.48 | 1.73 | 308.00 | 306.33 | 1.30 | 309.00 | 0.100 | 0.210 | | | | | V1500 | 311.41 | 1.91 | 315.50 | 310.75 | 1.94 | 315.10 | 319.77 | 9.10 | 341.70 | <0.001 | | <0.001 | 0.189 | <0.001*** | <0.001*** | V2000 | 543.86 | 113.30 | 720.50 | 347.12 | 21.43 | 378.60 | 676.53 | 162.02 | 1040.30 | <0.001 | | <0.001 | <0.001*** | 0.002*** | <0.001*** | V2500 | 1008.48 | 135.00 | 1182.20 | 797.90 | 184.85 | 1119.50 | 1029.36 | 237.87 | 1357.00 | <0.001 | | <0.001 | <0.001*** | 0.64 | <0.001*** |
| Compliance 20% TRK 30% | V0500 | 299.25 | 1.98 | 302.80 | 299.23 | 2.33 | 303.10 | 298.96 | 2.81 | 304.40 | 0.120 | 0.871 | | | | | VI000 | 306.03 | l.27 | 308.10 | 305.84 | 1.75 | 309.40 | 306.65 | 1.35 | 309.20 | 0.130 | 0.100 | | | | | V1500 | 312.50 | 2.55 | 319.00 | 311.59 | 2.13 | 316.00 | 330.75 | 24.30 | 398.20 | 0.001 | | <0.001 | 0.1615 | 0.003*** | 0.002*** | V2000 | 626.32 | 147.85 | 908.30 | 430.74 | 102.73 | 844.00 | 756.41 | 211.14 | 12220.10 | 0.014 | | <0.001 | <0.001*** | 0.079 | <0.001*** | V2500 | 1011.33 | 132.83 | 1184.70 | 799.18 | 235.10 | 1334.90 | 1033.33 | 240.13 | 1344.80 | <0.001 | | 0.001 | 0.005*** | 0.622 | 0.006*** |
| Compliance 40% TRK 10% | V0500 | 299.09 | 1.97 | 302.70 | 295.60 | 3.42 | 305.50 | 295.69 | 3.19 | 301.60 | 0.210 | 0.620 | | | | | VI000 | 305.53 | 1.20 | 307.60 | 300.01 | 1.91 | 304.10 | 303.38 | 1.49 | 307.20 | 0.130 | 0.450 | | | | | V1500 | 310.49 | 1.45 | 312.80 | 305.05 | 1.68 | 308.20 | 313.67 | 4.60 | 326.40 | <0.001 | | <0.001 | <0.001*** | 0.008*** | 0.008*** | V2000 | 456.57 | 81.32 | 580.50 | 319.01 | 7.88 | 338.10 | 588.53 | 107.79 | 802.10 | <0.001 | | <0.001 | <0.001*** | <0.001*** | <0.001*** | V2500 | 962.90 | 138.40 | 1156.00 | 677.78 | 188.06 | 1151.40 | 1004.14 | 158.41 | 1258.70 | 0.044 | | <0.001 | <0.001*** | 0.210 | <0.001*** |
| Compliance 40% TRK 20% | V0500 | 299.18 | 1.97 | 302.80 | 296.26 | 3.04 | 303.90 | 295.74 | 3.20 | 301.70 | <0.001 | | <0.001 | <0.001*** | <0.001*** | <0.001*** | VI000 | 305.77 | l.21 | 307.80 | 302.26 | 2.26 | 306.70 | 303.67 | 1.48 | 307.40 | <0.001 | | <0.001 | 0.006*** | <0.001*** | <0.001*** | V1500 | 311.41 | 1.91 | 315.50 | 307.24 | 2.65 | 313.30 | 318.72 | 10.02 | 341.00 | <0.001 | | <0.001 | <0.001*** | 0.004*** | <0.001*** | V2000 | 543.86 | 113.30 | 720.50 | 350.60 | 29.96 | 408.70 | 681.35 | 158.46 | 994.10 | <0.001 | | <0.001 | <0.001*** | <0.001*** | <0.001*** | V2500 | 1008.48 | 135.00 | 1182.20 | 852.90 | 213.98 | 1274.10 | 997.47 | 151.60 | 1192.30 | 0.002 | | <0.001 | 0.006*** | 0.712 | 0.004 |
| Compliance 40% TRK 30% | V0500 | 299.25 | 1.98 | 302.80 | 296.68 | 2.95 | 303.90 | 295.86 | 3.19 | 301.70 | 0.003 | | <0.001 | <0.001*** | <0.001*** | 0.27 | VI000 | 306.03 | l.27 | 308.10 | 302.55 | 2.33 | 307.40 | 304.04 | 1.47 | 307.60 | <0.001 | | <0.001 | <0.001*** | <0.001*** | 0.0049*** | V1500 | 312.50 | 2.55 | 319.00 | 307.88 | 2.64 | 315.80 | 331.67 | 21.89 | 377.60 | <0.001 | | <0.001 | <0.001*** | <0.001*** | <0.001*** | V2000 | 626.32 | 147.85 | 908.30 | 407.70 | 68.35 | 569.30 | 755.66 | 185.75 | 1124.80 | 0.002 | | <0.001 | <0.001*** | 0.0017*** | <0.001*** | V2500 | 1011.33 | 132.83 | 1184.70 | 889.02 | 161.64 | 1235.60 | 998.03 | 159.76 | 1232.40 | <0.001 | | 0.003 | 0.020*** | 0.650 | 0.070 |
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(b) |
| | | | | | Travel Time (sec) Analyses | | | | | |
| | | Summary Statistics | | | | | Unequal Variance -test | | Compliance % and truck% | Volume | MAS (ฮผ), (s), Max | Early DLM (ฮผ), (s), Max | Late DLM (ฮผ), (s), Max | Leveneโs Test () | Overall -Test value () | Friedman's Test () | - value () | - value () | - value () | | | | | | | | | | | | | | | | | Mean (ฮผ) | Std. Dev. | Max | Mean (ฮผ) | Std. Dev. | Max | Mean (ฮผ) | Std. Dev. | Max | | | | | | |
| Compliance 60% TRK 10% | V0500 | 299.09 | 1.97 | 302.70 | 291.25 | 3.48 | 299.40 | 292.71 | 3.07 | 297.50 | 0.040 | | <0.001 | <0.001*** | <0.001*** | 0.060*** | V1000 | 305.53 | 1.20 | 307.00 | 297.34 | 1.98 | 300.70 | 300.38 | 1.90 | 305.10 | 0.092 | | <0.001 | <0.001*** | <0.001*** | <0.001*** | V1500 | 310.49 | 1.45 | 312.80 | 302.54 | 1.87 | 36.80 | 311.15 | 4.34 | 324.10 | 0.012 | | <0.001 | <0.001*** | 0.431 | <0.001*** | V2000 | 456.57 | 81.32 | 580.50 | 322.81 | 11.46 | 351.00 | 586.23 | 58.70 | 751.20 | <0.001 | | <0.001 | <0.001*** | <0.001** | <0.001*** | V2500 | 962.90 | 138.40 | 1156.00 | 684.58 | 215.29 | 1120.00 | 969.19 | 100.67 | 1137.60 | 0.050 | | <0.001 | <0.001*** | 0.850 | <0.001*** |
| Compliance 60% TRK 20% | V0500 | 299.18 | 1.97 | 302.80 | 290.66 | 3.53 | 298.90 | 292.85 | 3.09 | 297.00 | 0.040 | | <0.001 | <0.001*** | <0.001*** | 0.0075*** | V1000 | 305.77 | 1.21 | 307.80 | 296.54 | 2.02 | 300.50 | 300.69 | 1.91 | 305.50 | 0.080 | | <0.001 | <0.001*** | <0.001*** | <0.001*** | V1500 | 311.41 | 1.91 | 315.50 | 302.61 | 2.44 | 308.60 | 318.94 | 1.56 | 312.10 | <0.001 | | <0.001 | <0.001*** | 0.0038*** | <0.001*** | V2000 | 543.86 | 113.30 | 720.50 | 343.92 | 30.55 | 412.20 | 670.88 | 146.60 | 948.10 | <0.001 | | <0.001 | <0.001*** | <0.001*** | <0.001*** | V2500 | 1008.48 | 135.00 | 1182.20 | 709.10 | 185.33 | 992.30 | 964.07 | 95.62 | 1108.80 | <0.001 | | <0.001 | <0.001*** | 0.130 | <0.001*** |
| Compliance 60% TRK 30% | V0500 | 299.25 | 1.98 | 302.80 | 291.61 | 3.47 | 300.10 | 292.91 | 3.09 | 297.80 | 0.047 | | <0.001 | <0.001*** | <0.001*** | 0.100 | V1000 | 306.03 | 1.27 | 308.10 | 297.90 | 1.99 | 300.90 | 301.03 | 1.96 | 306.00 | 0.175 | <0.001 | | <0.001*** | <0.001*** | <0.001*** | V1500 | 312.50 | 2.55 | 319.00 | 304.22 | 2.79 | 310.00 | 329.54 | 22.37 | 372.40 | <0.001 | | <0.001 | <0.001*** | <0.001*** | <0.001 *** | V2000 | 626.32 | 147.85 | 908.30 | 397.68 | 56.5s4 | 518.70 | 754.25 | 169.44 | 1081.80 | <0.001 | | <0.001 | <0.001*** | 0.003*** | <0.00l*** | V2500 | 1011.33 | 132.83 | 1184.70 | 755.91 | 156.66 | 1241.80 | 966.95 | 103.94 | 1124.00 | 0.001 | | 0.002 | 0.002*** | 0.120 | <0.00l*** |
| Compliance 80% TRK 10% | V0500 | 299.09 | 1.97 | 302.70 | 287.61 | 3.12 | 294.40 | 289.43 | 2.92 | 294.70 | 0.065 | | 0.020 | <0.001*** | <0. 001*** | 0.015*** | V1000 | 305.53 | 1.20 | 307.60 | 293.16 | 2.09 | 298.20 | 296.32 | 1.70 | 301.00 | 0.060 | | 0.013 | <0.001*** | <0.001*** | <0.001*** | V1500 | 310.49 | 1.45 | 312.80 | 298.72 | 2.17 | 303.60 | 308.07 | 4.66 | 322.10 | 0.017 | | <0.001 | <0.001*** | 0.012 | <0.001** | V2000 | 456.57 | 81.32 | 580.50 | 316.65 | 11.76 | 347.90 | 587.89 | 109.76 | 770.80 | <0.001 | | <0.001 | <0.001*** | <0.001*** | <0.001** | V2500 | 962.90 | 138.40 | 1156.00 | 599.16 | 149.73 | 889.10 | 933.23 | 76.85 | 1079.80 | <0.001 | | <0.001 | <0.001*** | 0.21 | <0.001 *** |
| Compliance 80% TRK 20% | V0500 | 299.18 | 1.97 | 302.80 | 287.76 | 3.19 | 295.40 | 289.55 | 2.91 | 294.70 | 0.060 | | 0.001 | <0.001*** | <0.001*** | 0.020*** | V1000 | 305.77 | 1.21 | 307.80 | 293.33 | 2.05 | 297.90 | 296.66 | 1.75 | 301.80 | 0.120 | 0.001 | | <0.001*** | <0.001*** | <0.001*** | V1500 | 311.41 | 1.91 | 315.50 | 299.55 | 2.21 | 304.70 | 313.75 | 11.24 | 348.00 | 0.016 | | 0.012 | <0.001*** | 0.25 | <0.001*** | V2000 | 543.80 | 113.30 | 720.50 | 343.20 | 26.13 | 384.70 | 669.00 | 145.35 | 912.50 | 0.020 | | <0.001 | <0.001*** | <0.001*** | <0.001 *** | V2500 | 1008.48 | 135.00 | 1182.20 | 690.88 | 196.04 | 1195.70 | 925.02 | 62.69 | 1024.50 | <0.001 | | <0.001 | <0.001*** | 0.01*** | <0.001*** |
| Compliance 80% TRK 30% | V0500 | 299.25 | 1.98 | 302.80 | 287.96 | 3.29 | 295.90 | 289.03 | 2.92 | 294.80 | 0.047 | | <0.001 | <0.001*** | <0.001*** | 0.030*** | V1000 | 306.03 | 1.27 | 308.10 | 293.50 | 1.99 | 298.70 | 297.01 | 1.77 | 302.10 | 0.195 | <0.001 | <0.001 | <0.001*** | <0.001*** | <0.001*** | V1500 | 312.50 | 2.55 | 319.00 | 300.37 | 2.52 | 305.70 | 326.31 | 22.90 | 380.60 | <0.001 | | <0.001 | <0.001*** | 0.0017*** | <0.001 *** | V2000 | 626.32 | 147.85 | 908.30 | 391.27 | 62.23 | 506.60 | 746.35 | 154.69 | 1008.10 | <0.001 | | <0.001 | <0.001*** | 0.0032*** | <0.001*** | V2500 | 1011.33 | 132.83 | 1184.70 | 734.32 | 157.70 | 1275.00 | 917.14 | 60.27 | 999.70 | 0.027 | | 0.020 | <0.001*** | 0.023*** | <0.001 *** |
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