Research Article
Comparing Three Lane Merging Schemes for Short-Term Work Zones: A Simulation Study
Table 3
(a) Throughputs comparisons (C20, C40). (b) Throughputs Comparisons (C60, C80).
| (a) |
| | | | | | Throughput (veh/hr) analyses | | | |
| | | Summary statistics |
Overall -Test value () | | Tukey's comparison | | | Compliance% and truck% | Volume (Vehhr) | MAS (μ), (s), max | Early DLM (μ), (S), max | Late DLM (μ), (s), max | - value () | - value () | - value () | | | Mean (μ) | Std. Dev. | Max | Mean (μ) | Std. Dev. | Max | Mean (μ) | Std. Dev. | Max | | | | |
| | Compliance 20% TRK 10% | V0500 | 494.67 | 31.23 | 576.00 | 505.67 | 49.16 | 620.00 | 493.47 | 34.56 | 572.00 | 0.61 | | | | | V1000 | 1007.47 | 45.25 | 1056.00 | 1000.80 | 39.78 | 1040.00 | 1001.73 | 65.54 | 1116.00 | 0.93 | | | | | V1500 | 1512.27 | 93.77 | 1656.00 | 1497.07 | 70.21 | 1664.00 | 1514.48 | 69.48 | 1628.00 | 0.76 | | | | | V2000 | 1824.53 | 24.18 | 1888.00 | 1965.33 | 72.99 | 2076.00 | 1692.90 | 35.97 | 1748.00 | <0.001 | 140.80*** | 131.63*** | 272.43*** | | V2500 | 1838.20 | 20.02 | 1884.00 | 2048.20 | 30.05 | 2108.00 | 1698.93 | 19.65 | 1740.00 | <0.001 | 210.00*** | 139.27*** | 349.27*** |
| | Compliance 20% TRK 20% | V0500 | 494.57 | 31.22 | 576.00 | 505.07 | 29.14 | 556.00 | 491.11 | 39.98 | 572.00 | 0.49 | | | | | V1000 | 1004.57 | 43.79 | 1112.00 | 997.13 | 41.35 | 1068.00 | 999.11 | 69.45 | 1112.00 | 0.88 | | | | | V1500 | 1510.93 | 91.48 | 1660.00 | 1496.53 | 70.63 | 1664.00 | 1517.11 | 75.97 | 1608.00 | 0.76 | | | | | V2000 | 1731.47 | 24.10 | 1784.00 | 1945.33 | 53.01 | 2028.00 | 1618.44 | 15.16 | 1652.00 | <0.001 | 213.78*** | 113.02*** | 326.89*** | | V2500 | 1722.60 | 28.32 | 1776.00 | 1956.20 | 32.43 | 2016.00 | 1619.78 | 16.14 | 1648.00 | <0.001 | 233.60*** | 102.82*** | 336.42*** |
| | Compliance 20% TRK 30% | V0500 | 494.67 | 31.01 | 576.00 | 505.67 | 29.14 | 556.00 | 493.33 | 40.42 | 572.00 | 0.59 | | | | | V1000 | 1008.00 | 43.94 | 1052.00 | 994.13 | 40.92 | 1068.00 | 1000.27 | 66.20 | 1112.00 | 0.76 | | | | | V1500 | 1059.33 | 88.51 | 1652.00 | 1499.20 | 67.19 | 1664.00 | 1499.20 | 71.80 | 1592.00 | 0.92 | | | | | V2000 | 1640.53 | 26.04 | 1680.00 | 1815.73 | 744.71 | 1912.00 | 1546.67 | 21.09 | 1572.00 | <0.001 | 175.20*** | 96.86*** | 269.06*** | | V2500 | 1637.80 | 17.28 | 1668.00 | 1664.00 | 23.70 | 1896.00 | 1548.20 | 25.08 | 1592.00 | <0.001 | 26.20 | 89.60 | 115.80*** |
| | Compliance 40% TRK 10% | V0500 | 494.13 | 33.90 | 580.00 | 507.20 | 28.50 | 546.00 | 493.06 | 40.86 | 572.00 | 0.47 | | | | | V1000 | 1006.13 | 46.05 | 1056.00 | 993.67 | 45.51 | 1068.00 | 998.40 | 63.06 | 1100.00 | 0.27 | | | | | V1500 | 1512.27 | 94.72 | 1664.00 | 1498.93 | 74.07 | 1668.00 | 1512.27 | 82.87 | 1624.00 | 0.53 | | | | | V2000 | 1828.00 | 24.19 | 1880.00 | 1981.33 | 93.36 | 2189.00 | 1704.27 | 19.09 | 1732.00 | <0.001 | 153.33*** | 123.73*** | 277.06*** | | V2500 | 1832.40 | 18.75 | 1856.00 | 2124.40 | 30.62 | 2180.00 | 1705.60 | 17.33 | 1740.00 | <0.001 | 292.00*** | 126.80*** | 418.80*** |
| | Compliance 40% TRK 20% | V0500 | 494.13 | 33.90 | 580.00 | 505.60 | 27.49 | 556.00 | 493.33 | 40.64 | 572.00 | 0.56 | | | | | V1000 | 1006.67 | 44.73 | 1052.00 | 993.67 | 43.33 | 1068.00 | 998.40 | 63.60 | 1100.00 | 0.77 | | | | | V1500 | 1511.73 | 92.87 | 1660.00 | 1480.50 | 97.82 | 1676.00 | 1512.00 | 82.72 | 1608.00 | 0.55 | | | | | V2000 | 1726.67 | 23.88 | 1764.00 | 1925.07 | 45.29 | 1980.00 | 1616.80 | 17.90 | 1652.00 | <0.001 | 198.40*** | 109.87*** | 308.27*** | | V2500 | 1726.00 | 23.87 | 1780.00 | 1952.20 | 31.88 | 2004.00 | 1620.40 | 21.71 | 1664.00 | <0.001 | 226.20*** | 105.60*** | 331.80*** |
| | Compliance 40% TRK 30% | V0500 | 494.13 | 32.90 | 580.00 | 505.00 | 27.49 | 556.00 | 493.33 | 40.04 | 572.00 | 0.55 | | | | | V1000 | 1006.67 | 44.73 | 1052.00 | 993.87 | 42.76 | 1068.00 | 998.40 | 63.50 | 1100.00 | 0.79 | | | | | V1500 | 1509.87 | 88.40 | 1660.00 | 1497.33 | 71.77 | 1676.00 | 1494.67 | 67.34 | 1572.00 | 0.84 | | | | | V2000 | 1638.13 | 20.83 | 1680.00 | 1843.73 | 35.89 | 1900.00 | 1555.47 | 24.56 | 1584.00 | <0.001 | 205.60*** | 82.66*** | 288.26*** | | V2500 | 1642.00 | 25.51 | 1700.00 | 1866.50 | 27.17 | 1932.00 | 1548.60 | 21.69 | 1588.00 | <0.001 | 224.60*** | 93.40*** | 318.00*** |
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| (b) |
| | | | | | Throughput (veh/hr) analyses | | | | |
| | | Summary Statistics |
Overall -Test value () | Tukey's Comparison | | Compliance% And Truck% |
volume | MAS (μ), (s), max | Early DLM (μ), (s), max | Late DLM (μ), (s), max | - | - | - | | Mean (μ) | Std. Dev. | Max | Mean (μ) | Std. Dev. | Max | Mean (μ) | Std. Dev. | Max | | value () | value () | value () |
| | Compliance 60% TRK 10% | V0500 | 494.67 | 33.59 | 584.00 | 506.93 | 30.56 | 564.00 | 493.33 | 40.67 | 572.00 | 0.51 | | | | | V1000 | 1004.80 | 44.98 | 1056.00 | 994.13 | 43.99 | 1064.00 | 999.47 | 65.09 | 1100.00 | 0.86 | | | | | V1500 | 1511.73 | 92.62 | 1664.00 | 1501.87 | 72.58 | 1668.00 | 1513.07 | 85.52 | 1640.00 | 0.92 | | | | | V2000 | 1866.40 | 26.13 | 1904.00 | 1971.20 | 70.48 | 2060.00 | 1705.60 | 23.75 | 1744.00 | <0.001 | 104.80*** | 160.80*** | 265.60*** | | V2500 | 1814.80 | 117.91 | 1924.00 | 2116.20 | 57.97 | 2208.00 | 1698.80 | 16.93 | 1728.00 | <0.001 | 301.40*** | 116.00*** | 417.00*** |
| | Compliance 60% TRK 20% | V0500 | 494.67 | 33.59 | 584.00 | 507.47 | 30.01 | 564.00 | 493.60 | 40.56 | 572.00 | 0.49 | | | | | V1000 | 1005.07 | 45.67 | 1056.00 | 994.13 | 43.92 | 1064.00 | 998.93 | 64.02 | 1100.00 | 0.85 | | | | | V1500 | 1511.20 | 92.92 | 1660.00 | 1501.60 | 70.21 | 1660.00 | 1512.27 | 84.07 | 1608.00 | 0.93 | | | | | V2000 | 1775.47 | 30.31 | 1812.00 | 1935.47 | 53.62 | 2012.00 | 1621.87 | 16.55 | 1648.00 | <0.001 | 160.00*** | 153.60*** | 313.60*** | | V2500 | 1713.40 | 141.13 | 1828.00 | 2033.60 | 110.73 | 2200.00 | 1615.40 | 16.83 | 1640.00 | <0.001 | 320.20*** | 98.00*** | 418.20*** |
| | Compliance 60% TRK 30% | V0500 | 494.67 | 33.73 | 584.00 | 506.93 | 33.73 | 584.00 | 493.60 | 40.53 | 572.00 | 0.52 | | | | | V1000 | 1005.07 | 45.67 | 1056.00 | 994.40 | 43.65 | 1060.00 | 999.20 | 63.65 | 1096.00 | 0.85 | | | | | V1500 | 1510.93 | 92.03 | 1592.00 | 1504.80 | 68.79 | 1668.00 | 1498.40 | 73.35 | 1592.00 | 0.91 | | | | | V2000 | 1691.47 | 33.97 | 1752.00 | 1863.20 | 38.58 | 1948.00 | 1543.20 | 25.08 | 1588.00 | <0.001 | 171.73*** | 148.27*** | 320.00*** | | V2500 | 1641.20 | 129.07 | 1780.00 | 1908.20 | 102.33 | 2040.00 | 1548.20 | 92.17 | 1592.00 | <0.001 | 267.00*** | 93.00*** | 360.00*** |
| | Compliance 80% TRK 10% | V0500 | 494.13 | 34.74 | 588.00 | 506.67 | 29.53 | 560.00 | 493.33 | 39.73 | 572.00 | 0.51 | | | | | V1000 | 1004.27 | 39.96 | 1040.00 | 994.93 | 45.64 | 1068.00 | 999.47 | 67.20 | 1096.00 | 0.89 | | | | | V1500 | 1510.40 | 91.24 | 1644.00 | 1501.87 | 72.17 | 1656.00 | 1514.13 | 85.19 | 1620.00 | 0.92 | | | | | V2000 | 1874.20 | 102.62 | 2000.00 | 1971.73 | 77.58 | 2068.00 | 1691.20 | 27.00 | 1720.00 | <0.001 | 97.53*** | 183.00*** | 308.60*** | | V2500 | 1797.80 | 280.19 | 2016.00 | 2125.20 | 87.75 | 2256.00 | 1699.60 | 19.90 | 1736.00 | <0.001 | 327.40*** | 96.20*** | 425.60*** |
| | Compliance 80% TRK 20% | V0500 | 494.13 | 34.74 | 588.00 | 506.40 | 29.66 | 560.00 | 493.33 | 39.73 | 572.00 | 0.52 | | | | | V1000 | 1004.80 | 38.93 | 1040.00 | 994.13 | 44.15 | 1064.00 | 999.20 | 67.29 | 1096.00 | 0.85 | | | | | V1500 | 1509.87 | 89.64 | 1640.00 | 1501.33 | 71.60 | 1656.00 | 1514.40 | 86.99 | 1616.00 | 0.91 | | | | | V2000 | 1864.00 | 58.94 | 1940.00 | 1925.60 | 48.07 | 2004.00 | 1608.27 | 10.95 | 1628.00 | <0.001 | 61.60*** | 255.73*** | 317.33*** | | V2500 | 1689.40 | 272.50 | 1960.00 | 1985.40 | 88.34 | 2112.00 | 1613.40 | 24.11 | 1656.00 | <0.001 | 296.00*** | 76.00 | 372.00*** |
| | Compliance 80% TRK 30% | V0500 | 494.67 | 35.28 | 592.00 | 506.40 | 29.66 | 560.00 | 493.33 | 39.73 | 572.00 | 0.54 | | | | | V1000 | 1004.80 | 39.95 | 1040.00 | 994.13 | 44.05 | 1064.00 | 999.20 | 68.25 | 1096.00 | 0.89 | | | | | V1500 | 1509.33 | 91.29 | 1648.00 | 1502.13 | 74.76 | 1664.00 | 1499.47 | 72.22 | 1600.00 | 0.94 | | | | | V2000 | 1739.43 | 81.59 | 1848.00 | 1856.27 | 26.29 | 1928.00 | 1537.60 | 17.36 | 1580.00 | <0.001 | 116.84*** | 201.83*** | 318.67*** | | V2500 | 1607.05 | 257.85 | 1892.00 | 1930.10 | 104.70 | 2080.00 | 1543.00 | 37.72 | 1600.00 | <0.001 | 323.05*** | 64.05 | 387.10*** |
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